%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.11", %%% date = "23 August 2003", %%% time = "12:55:33 MDT", %%% filename = "amermathmonthly1980.bib", %%% address = "Center for Scientific Computing %%% University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "10093 15200 52684 454806", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at ieee.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography, BibTeX, American Mathematical %%% Monthly", %%% supported = "yes", %%% docstring = "This is a bibliography of the journal %%% American Mathematical Monthly (CODEN %%% AMMYAE, ISSN 0002-9890), published by the %%% Mathematical Association of America. %%% %%% Volume 1, Number 1 appeared in January %%% 1894, and there has been one volume per %%% year since. The journal now appears ten %%% times a year, monthly except July and %%% August, which appear as pairs June/July %%% and August/September. %%% %%% This file covers the decade 1980--1989; %%% companion files amermathmonthly19xx.bib %%% cover other decades. %%% %%% Entries with addenda, comments, corrigenda, %%% errata, letters to the editor, and remarks on %%% earlier articles contain cross references to %%% entries for those articles, which are %%% included here for completeness, even if they %%% are duplicated in another of the %%% decade-specific bibliographies for this %%% journal. %%% %%% The journal has a World-Wide Web site at %%% %%% http://www.maa.org/pubs/monthly.html %%% %%% where tables of contents and abstracts are %%% available from January 1997 to date. URL %%% values in the entries below point back to %%% that site. %%% %%% At version 1.11, the year coverage looked %%% like this: %%% %%% 1954 ( 1) 1969 ( 0) 1984 ( 68) %%% 1955 ( 0) 1970 ( 0) 1985 ( 92) %%% 1956 ( 0) 1971 ( 0) 1986 ( 89) %%% 1957 ( 0) 1972 ( 0) 1987 ( 75) %%% 1958 ( 0) 1973 ( 0) 1988 ( 81) %%% 1959 ( 0) 1974 ( 0) 1989 ( 86) %%% 1960 ( 0) 1975 ( 0) 1990 ( 11) %%% 1963 ( 0) 1978 ( 3) 1993 ( 1) %%% 1964 ( 1) 1979 ( 0) 1994 ( 0) %%% 1965 ( 1) 1980 ( 98) 1995 ( 0) %%% 1966 ( 0) 1981 ( 88) 1996 ( 0) %%% 1967 ( 0) 1982 ( 59) 1997 ( 2) %%% 1968 ( 0) 1983 ( 68) %%% %%% Article: 824 %%% %%% Total entries: 824 %%% %%% Data for the bibliography has been collected %%% primarily from the MathSciNet database, with %%% some additions from the bibliographies in the %%% TeX User Group collection, from %%% bibliographies in the author's personal %%% files, and from the computer science %%% bibliography collection on ftp.ira.uka.de in %%% /pub/bibliography to which many people of %%% have contributed. %%% %%% The Editorial Office of this journal is %%% fortuitously located in my Department, so I %%% am collaborating with the Editorial Staff to %%% provide advance listing (typically about four %%% months) of papers before they actually appear %%% in print. Naturally, such entries are %%% subject to revision after publication, %%% notably to provide the missing page numbers. %%% %%% Work is also in progress to extend coverage %%% of the bibliography collection for this %%% journal back to its initial 1894 volume, and %%% to provide annual, decennial, and cumulative %%% indexes of the journal on the World-Wide Web. %%% However, this work is likely to take several %%% months to complete. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted in %%% publication order, using ``bibsort -byvolume''. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \cprime \def \cprime {$\mathsurround=0pt '$}\fi" } %======================================================================= % Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, Center for Scientific Computing, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@ieee.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} %======================================================================= % Journal abbreviations: @String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"} @String{j-CACM = "Communications of the ACM"} @String{j-LNCS = "Lecture Notes in Computer Science"} @String{j-MATH-COMPUT = "Mathematics of Computation"} %======================================================================= % Bibliography entries. @Article{Fan:1954:II, author = "K. Fan and G. G. Lorentz", title = "An integral inequality", journal = j-AMER-MATH-MONTHLY, volume = "61", number = "??", pages = "626--631", month = "????", year = "1954", bibdate = "Sat Oct 31 13:20:26 1998", note = "See note \cite{Pecaric:1981:NII}.", acknowledgement = ack-nhfb, } @Article{Anonymous:1965:SG, author = "Anonymous", title = "Semitopological groups", journal = j-AMER-MATH-MONTHLY, volume = "72", number = "??", pages = "996--998", month = "????", year = "1965", CODEN = "AMMYAE", ISSN = "0002-9890", bibdate = "Sat Oct 31 13:44:44 1998", note = "See errata \cite{Bohn:1987:ESG}.", acknowledgement = ack-nhfb, } @Article{Livingston:1978:C, author = "A. E. Livingston and M. L. Livingston", title = "The congruence $a^{r+s}\equiv a^{r} \pmod {m}$", journal = j-AMER-MATH-MONTHLY, volume = "85", number = "2", pages = "97--100", month = "????", year = "1978", CODEN = "AMMYAE", ISSN = "0002-9890", MRnumber = "12355", bibdate = "Sat Oct 31 13:18:47 1998", note = "See comment \cite{Ecker:1980:CNC}.", acknowledgement = ack-nhfb, } @Article{Wilder:1978:ETC, author = "R. L. Wilder", title = "Evolution of the topological concept of {``connected''}", journal = j-AMER-MATH-MONTHLY, volume = "85", number = "9", pages = "720--726", month = "????", year = "1978", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A60 (54-03 54D05)", MRnumber = "80f:01019a", MRreviewer = "John G. Hocking", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Wilder:1980:CAE}.", acknowledgement = ack-nhfb, } @Article{Golomb:1978:CPF, author = "Solomon W. Golomb", title = "Cyclotomic polynomials and factorization theorems", journal = j-AMER-MATH-MONTHLY, volume = "85", number = "9", pages = "734--737", month = "????", year = "1978", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A25 (12A20 12C20 12E05)", MRnumber = "80e:10011", MRreviewer = "J. B. Roberts", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See corrections \cite{Golomb:1981:CCP} and note \cite{McLain:1981:NWG}.", acknowledgement = ack-nhfb, } @Article{Murrill:1980:HGC, author = "Malcolm Murrill", title = "On a hyperanalytic geometry for complex functions", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "8--25", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M10 (30C20)", MRnumber = "81e:51009", MRreviewer = "Hiroshi Haruki", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Shen:1980:NEN, author = "Yu Ting Shen", title = "A {``natural''} enumeration of nonnegative rational numbers---an informal discussion", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "25--29", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A35 (10A32)", MRnumber = "81c:10017", MRreviewer = "M. S. Cheema", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilder:1980:CAE, author = "R. L. Wilder", title = "Correction and addendum to: {{``Evolution of the topological concept of `connected'\thinspace ''} [Amer. Math. Monthly {\bf 85} (1978), no. 9, 720--726, MR 80f:01019a]}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "31--32", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A60 (54-03)", MRnumber = "81f:01023", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Wilder:1978:ETC}.", acknowledgement = ack-nhfb, } @Article{Thompson:1980:PPT, author = "K. W. Thompson and T. Schonbek", title = "A problem of the {Pompeiu} type", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "32--36", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B99 (28A99)", MRnumber = "81d:26008", MRreviewer = "Carlos A. Berenstein", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Russell:1980:CBA, author = "A. M. Russell", title = "A commutative {Banach} algebra of functions of bounded variation", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "39--40", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46J10", MRnumber = "81a:46062", MRreviewer = "Alan Shuchat", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kirby:1980:CT, author = "D. Kirby", title = "Concurrences for a triangle", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "45--47", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51N20", MRnumber = "81f:51018", MRreviewer = "Heiko Harborth", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Millman:1980:UHP, author = "Richard S. Millman", title = "The upper half plane model for hyperbolic geometry", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "48--53", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51-01", MRnumber = "81c:51001", MRreviewer = "L. M. Kelly", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dym:1980:ACM, author = "Harry Dym", title = "On the absolute convergence of a multiple integral of ${\rm sin}\,x/x$", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "1", pages = "53--54", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B15", MRnumber = "80m:26012", MRreviewer = "V. Ganapathy Iyer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hamming:1980:UEM, author = "R. W. Hamming", title = "The unreasonable effectiveness of mathematics", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "81--90", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A69", MRnumber = "81e:00015", MRreviewer = "B. Artmann", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{MacGregor:1980:GNP, author = "Robert M. MacGregor", title = "Generalizing the notion of a periodic sequence", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "90--102", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A35 (68B99)", MRnumber = "81c:10014", MRreviewer = "Stephen L. Bloom", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{DeTemple:1980:GMP, author = "Duane W. DeTemple", title = "A geometric method of phase plane analysis", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "102--112", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34-01", MRnumber = "81g:34001", MRreviewer = "Charles C. Conley", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Koblitz:1980:AAS, author = "Neal Koblitz", title = "The $p$-adic approach to solutions of equations over finite fields", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "115--118", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10-01 (10B40 14G13)", MRnumber = "81d:10002", MRreviewer = "Kenneth Kramer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nienhuys:1980:UCD, author = "J. W. Nienhuys", title = "Uniform continuity of derivatives in convex sets", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "118--120", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B05 (26E15)", MRnumber = "82a:26011", MRreviewer = "Clifford E. Weil", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Sarma:1980:ELF, author = "V. L. N. Sarma and Nand Lal and V. K. Singh", title = "An example of a locally finite family", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "121--122", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54G20", MRnumber = "81d:54030", MRreviewer = "Donald Plank", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Robbins:1980:PNR, author = "David P. Robbins", title = "The probability that neighbors remain neighbors after random rearrangements", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "122--124", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A05", MRnumber = "81e:05009", MRreviewer = "A. H. Tsoi", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rozema:1980:EET, author = "Edward Rozema", title = "Estimating the error in the trapezoidal rule", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "124--128", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65D30", MRnumber = "81f:65022", MRreviewer = "David K. Kahaner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Klambauer:1980:SS, author = "Gabriel Klambauer", title = "Summation of series", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "2", pages = "128--130", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05", MRnumber = "81a:40001", MRreviewer = "John A. Fridy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zalcman:1980:OIG, author = "Lawrence Zalcman", title = "Offbeat integral geometry", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "3", pages = "161--175", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53C65 (43A85)", MRnumber = "81b:53046", MRreviewer = "Adrian Baddeley", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bleecker:1980:IDP, author = "David D. Bleecker", title = "Infinitesimal deformations of portions of the standard sphere in {$E^{3}$}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "3", pages = "175--182", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53C45 (31C05)", MRnumber = "81h:53060", MRreviewer = "K. Svoboda", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilcox:1980:PTP, author = "Calvin H. Wilcox", title = "Positive temperatures with prescribed initial heat distributions", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "3", pages = "183--186", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "35K05 (35C15 80A20)", MRnumber = "81i:35077", MRreviewer = "D. T. Haimo", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Steiner:1980:PTS, author = "Antonio Steiner", title = "{Plancherel}'s theorem and the {Shannon} series derived simultaneously", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "3", pages = "193--197", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "42A16", MRnumber = "81e:42010", MRreviewer = "Walter R. Bloom", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Jones:1980:QBP, author = "Dixon Jones", title = "Quadrangles, butterflies, {Pascal}'s hexagon, and projective fixed points", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "3", pages = "197--200", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15", MRnumber = "81e:51010", MRreviewer = "S. S. Subramanyam", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nummela:1980:CTT, author = "Eric C. Nummela", title = "Cayley's theorem for topological groups", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "3", pages = "202--203", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "22A05", MRnumber = "81i:22001", MRreviewer = "M. I. Kabenyuk", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Netuka:1980:RH, author = "I. Netuka and J. Vesel\'y", title = "Regions of harmonicity", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "3", pages = "203--205", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "31B05 (31B25)", MRnumber = "81f:31008", MRreviewer = "Mich{\`e}le Mastrangelo-Dehen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Miel:1980:CCR, author = "George Miel", title = "Calculator calculus and roundoff errors", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "243--252", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65G05 (65-01)", MRnumber = "81c:65020", MRreviewer = "R. P. Brent", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rice:1980:W, author = "R. E. Rice and B. Schweizer and A. Sklar", title = "When is $f(f(z))=az^{2}+bz+c$", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "252--263", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "39B10 (30C10 39B70)", MRnumber = "81e:39005", MRreviewer = "J{\'o}zef Tabor", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Deakin:1980:EVL, author = "Michael A. B. Deakin", title = "{Euler}'s version of the {Laplace} transform", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "264--269", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "44-03 (01A50 34-03 44A10)", MRnumber = "81g:44001", MRreviewer = "L. Berg", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Sequin:1980:TPK, author = "Carlo H. Sequin", title = "Twisted prismatic {Klein} bottles", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "269--277", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57N05", MRnumber = "81b:57006", MRreviewer = "Mark D. Meyerson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cobb:1980:DPF, author = "J. Cobb and W. Voxman", title = "Dispersion points and fixed points", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "278--281", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54G15 (54H25)", MRnumber = "81e:54036", MRreviewer = "K. D. Magill, Jr.", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Meisters:1980:PVE, author = "G. H. Meisters", title = "Principal vertices, exposed points, and ears", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "284--285", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51H99 (57N05)", MRnumber = "81m:51025", MRreviewer = "J. F. Rigby", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Darst:1980:CBL, author = "Richard B. Darst", title = "The connection between lim sup and uniform integrability", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "285--286", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A25 (26A99)", MRnumber = "81f:28004", MRreviewer = "P. V. Reichelderfer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Groemer:1980:FCC, author = "H. Groemer", title = "On finite classes of convex sets that permit space coverings", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "286--288", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A45", MRnumber = "81b:52012", MRreviewer = "G. T. Sallee", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Martins:1980:EPP, author = "L. C. Martins and P. Podio-Guidugli", title = "An elementary proof of the polar decomposition theorem", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "288--290", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A04", MRnumber = "81b:15002", MRreviewer = "R. Merris", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Alam:1980:BNE, author = "Khursheed Alam", title = "Bounds on the negative exponential function", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "290--292", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A30", MRnumber = "81e:33001", MRreviewer = "A. E. Danese", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Foster:1980:RPE, author = "James H. Foster and Jean J. Pedersen", title = "On the reflective property of ellipses", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "294--297", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51N20", MRnumber = "81i:51023", MRreviewer = "O. Bottema", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Watkins:1980:SM, author = "William Watkins", title = "Similarity of matrices", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "4", pages = "300--300", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21", MRnumber = "81a:15014", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Buck:1980:SHB, author = "R. Creighton Buck", title = "{Sherlock Holmes} in {Babylon}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "335--345", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A17", MRnumber = "81e:01001", MRreviewer = "Bruno Poizat", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Askey:1980:REG, author = "Richard Askey", title = "{Ramanujan}'s extensions of the gamma and beta functions", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "346--359", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A60 (10-03 33-03)", MRnumber = "82g:01030", MRreviewer = "E. Grosswald", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Antman:1980:ELV, author = "Stuart S. Antman", title = "The equations for large vibrations of strings", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "359--370", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "73D35 (35Q20 70K99)", MRnumber = "81e:73027", MRreviewer = "Tommaso Ruggeri", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rubel:1980:SPS, author = "Lee Rubel and Kenneth Stolarsky", title = "Subseries of the power series for $e^{x}$", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "371--376", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30B50", MRnumber = "81g:30006", MRreviewer = "S. K. Bajpai", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nijenhuis:1980:CMP, author = "Albert Nijenhuis", title = "Correction to: {``A minimal-path algorithm for the `money changing problem' ''}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "377--377", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68C05 (10B05 68E10 90B10)", MRnumber = "82m:68070b", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dow:1980:I, author = "Alan Dow and John Ginsburg", title = "Integration on $[0,\,1]^{\omega }$", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "378--380", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28C20 (28A35)", MRnumber = "81f:28011", MRreviewer = "S. N. Mukhopadhyay", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brown:1980:RPO, author = "D. R. Brown and M. J. O'Malley", title = "On $n$th roots of positive operators", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "380--382", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47B15", MRnumber = "82k:47032", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rehder:1980:VUT, author = "Wulf Rehder", title = "On the volume of unions of translates of a convex set", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "382--384", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A20 (52A35)", MRnumber = "81g:52004", MRreviewer = "Z. Waksman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kiss:1980:MSD, author = "P{\'e}ter Kiss", title = "A method for solving {Diophantine} equations", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "384--387", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10B05", MRnumber = "82j:10030", MRreviewer = "H. London", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Redheffer:1980:SIG, author = "Ray Redheffer and Carey Smith", title = "On a surprising inequality of {Goldberg} and {Straus}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "387--390", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A39 (26D15)", MRnumber = "81e:15006", MRreviewer = "A. E. Danese", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Eynden:1980:PD, author = "Charles Vanden Eynden", title = "Proofs that $\sum 1/p$ diverges", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "394--397", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A25", MRnumber = "81g:10013", MRreviewer = "Calvin T. Long", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Spencer:1980:CMS, author = "Joel Spencer", title = "Counting magic squares", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "397--399", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B30 (05A15)", MRnumber = "81j:05042", MRreviewer = "H. Gupta", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chernoff:1980:PCF, author = "Paul R. Chernoff", title = "Pointwise convergence of {Fourier} series", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "5", pages = "399--400", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "42A20", MRnumber = "81b:42028", MRreviewer = "J. S. Byrnes", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Chernoff:1985:LEP}.", acknowledgement = ack-nhfb, } @Article{Pourciau:1980:MMR, author = "B. H. Pourciau", title = "Modern multiplier rules", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "433--452", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90C30", MRnumber = "83h:90101", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Penna:1980:TT, author = "Michael A. Penna", title = "Total torsion", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "452--461", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A04", MRnumber = "82d:53005", MRreviewer = "Wolfgang K{\"u}hnel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Maitra:1980:SAT, author = "S. N. Maitra", title = "A simple application of the theorem of composition of accelerations", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "466--468", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "70B99", MRnumber = "82b:70002", MRreviewer = "Samuel Levy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Klamkin:1980:IIC, author = "M. S. Klamkin", title = "Inequalities for inscribed and circumscribed polygons", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "469--473", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40 (26A51 51M25)", MRnumber = "82e:52008", MRreviewer = "Hiroshi Haruki", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Greiter:1980:NFS, author = "Gebhard Greiter", title = "Nonunique factorization in subsemigroups of semigroups with unique prime factorization", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "473--474", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20M10", MRnumber = "81m:20077", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Satyanarayana:1980:NRS, author = "U. V. Satyanarayana", title = "A note on {Riemann-Stieltjes} integrals", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "477--478", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A42 (28A25)", MRnumber = "82b:26012", MRreviewer = "E. R. Love", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schultz:1980:SPF, author = "Henry J. Schultz", title = "The sum of the $k$th powers of the first $n$ integers", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "478--481", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A19 (26-01)", MRnumber = "82c:05014", MRreviewer = "J. Knopfmacher", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Robinson:1980:PFR, author = "Donald W. Robinson", title = "A proof of the {Frobenius} rank equality", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "481--482", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A03", MRnumber = "82c:15004", MRreviewer = "M. F. Smiley", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kennedy:1980:FWE, author = "Hubert Kennedy", title = "The first written examinations at {Harvard College}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "6", pages = "483--486", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A55", MRnumber = "82j:01047", MRreviewer = "Joseph W. Dauben", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Halmos:1980:HM, author = "P. R. Halmos", title = "The heart of mathematics", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "519--524", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A05", MRnumber = "82j:00004a", MRreviewer = "J. B. Roberts", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rogers:1980:LSV, author = "C. A. Rogers", title = "A less strange version of {Milnor}'s proof of {Brouwer}'s fixed-point theorem", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "525--527", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "55M20 (54C15)", MRnumber = "82b:55004", MRreviewer = "David C. Wilson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Prekopa:1980:DOT, author = "Andr{\'a}s Pr{\'e}kopa", title = "On the development of optimization theory", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "527--542", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A55 (01A50 01A60 90-03)", MRnumber = "82h:01037", MRreviewer = "Rolf Kl{\"o}tzler", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Isaacs:1980:RPA, author = "I. M. Isaacs", title = "Roots of polynomials in algebraic extensions of fields", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "543--544", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12F05", MRnumber = "82b:12023", MRreviewer = "James K. Deveney", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Stolarsky:1980:PGL, author = "Kenneth B. Stolarsky", title = "The power and generalized logarithmic means", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "545--548", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D20", MRnumber = "82g:26029", MRreviewer = "V. Ganapathy Iyer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schatz:1980:WDC, author = "James R. Schatz", title = "On the weight distributions of cosets of a linear code", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "548--551", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "94B05", MRnumber = "83h:94016", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Yamashita:1980:CTD, author = "Shinji Yamashita", title = "{Cowling}'s theorem on a {Dirichlet} finite holomorphic function in the disk", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "551--552", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D50", MRnumber = "82a:30043", MRreviewer = "Kenneth Stephenson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lagarias:1980:DPS, author = "J. C. Lagarias and A. M. Odlyzko", title = "Divisibility properties of some cyclotomic sequences", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "561--564", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A40", MRnumber = "82c:10014", MRreviewer = "D. H. Lehmer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Golberg:1980:MOT, author = "M. A. Golberg and H. Bowman", title = "{Mikusi{\'n}ski} operators without the {Titchmarsh} theorem", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "564--567", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "44A40", MRnumber = "82h:44007", MRreviewer = "E. Gesztelyi", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Parker:1980:MMP, author = "George D. Parker", title = "A metric model of plane {Euclidean} geometry", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "7", pages = "567--572", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51F99 (51M05)", MRnumber = "82e:51023", MRreviewer = "R. A. Melter", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rees:1980:MSW, author = "Mina Rees", title = "The mathematical sciences and {World War II}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "607--621", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A60 (01A80)", MRnumber = "82j:01059", MRreviewer = "F. J. Murray", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Netuka:1980:DPH, author = "Ivan Netuka", title = "The {Dirichlet} problem for harmonic functions", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "621--628", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "31B25", MRnumber = "82c:31005", MRreviewer = "{\"U}. Kuran", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bartle:1980:EET, author = "Robert G. Bartle", title = "An extension of {Egorov}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "628--633", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A20", MRnumber = "82h:28005", MRreviewer = "Pedro Jim{\'e}nez Guerra", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Stromquist:1980:HCC, author = "Walter Stromquist", title = "How to cut a cake fairly", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "640--644", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A17", MRnumber = "81m:05016", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See addendum \cite{Stromquist:1981:AHC}.", acknowledgement = ack-nhfb, } @Article{Gerber:1980:NTP, author = "Leon Gerber", title = "{Napoleon}'s theorem and the parallelogram inequality for affine-regular polygons", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "644--648", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51N10", MRnumber = "82b:51030", MRreviewer = "V. Medek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hutchinson:1980:SPP, author = "Joan P. Hutchinson and Paul B. Trow", title = "Some pigeonhole principle results extended", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "648--651", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A99", MRnumber = "82g:05016", MRreviewer = "W. D. Wei", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Klamkin:1980:NRN, author = "M. S. Klamkin and A. Liu", title = "Note on a result of {Niven} on impossible tessellations", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "651--653", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B45 (52A45)", MRnumber = "82d:05053", MRreviewer = "Shinsei Tazawa", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knight:1980:FZR, author = "William J. Knight", title = "Functions with zero right derivatives are constant", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "657--658", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26A24)", MRnumber = "82g:26004", MRreviewer = "Cheng-Ming Lee", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nijenhuis:1980:CSL, author = "Albert Nijenhuis", title = "Complete solutions of linear difference equations", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "658--660", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "39A10", MRnumber = "82a:39001", MRreviewer = "Shigeru Haruki", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ross:1980:AAR, author = "Kenneth A. Ross", title = "Another approach to {Riemann-Stieltjes} integrals", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "8", pages = "660--662", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A42 (28A25)", MRnumber = "82b:26011", MRreviewer = "E. R. Love", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Newman:1980:SAP, author = "D. J. Newman", title = "Simple analytic proof of the prime number theorem", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "693--696", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10H15", MRnumber = "82h:10056", MRreviewer = "G. L. Cohen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Swart:1980:PIF, author = "E. R. Swart", title = "The philosophical implications of the four-color problem", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "697--707", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C15 (00A25 03A05)", MRnumber = "83k:05049", MRreviewer = "Louis H. Kauffman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fox:1980:FCC, author = "M. D. Fox", title = "Formulae for the curvatures of circles in chains", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "708--715", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05", MRnumber = "82c:51024", MRreviewer = "Hellmuth Stachel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Boesch:1980:RTM, author = "Frank Boesch and Ralph Tindell", title = "{Robbins}'s theorem for mixed multigraphs", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "716--719", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C20 (05C40)", MRnumber = "82e:05070", MRreviewer = "Carsten Thomassen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Golomb:1980:IBC, author = "Solomon W. Golomb", title = "Iterated binomial coefficients", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "719--727", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A10", MRnumber = "82e:05009", MRreviewer = "Mauro Cerasoli", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Galperin:1980:EAJ, author = "A. Galperin and Z. Waksman", title = "An elementary approach to {Jordan} theory", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "728--732", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21", MRnumber = "82h:15013", MRreviewer = "W. Ledermann", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pintz:1980:LPN, author = "J{\'a}nos Pintz", title = "On {Legendre}'s prime number formula", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "733--735", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A50 (10-03 10H15)", MRnumber = "82e:01055", MRreviewer = "K. Masuda", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nakao:1980:PGL, author = "Zensho Nakao", title = "Polynomial group laws", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "735--736", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "14L17 (20G15)", MRnumber = "82h:14030a", MRreviewer = "Andy R. Magid", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Guzman:1980:CVF, author = "Miguel {de Guzm{\'a}n}", title = "A change-of-variables formula without continuity", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "736--739", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B20", MRnumber = "82c:26014", MRreviewer = "D. K. Dutta", bibdate = "Sat Dec 06 22:28:10 1997", acknowledgement = ack-nhfb, } @Article{Prather:1980:GSS, author = "Ronald E. Prather", title = "Generating the $k$-subsets of an $n$-set", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "740--743", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A05 (28A12)", MRnumber = "82e:05005", MRreviewer = "S. Gudder", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Whaley:1980:DPQ, author = "Thomas Whaley and Judson Williford", title = "Differentiability and permutations of quantifiers", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "745--748", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24", MRnumber = "83g:26010", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Smart:1980:WDI, author = "D. R. Smart", title = "When does {$T^{n+1}x-T^{n}x\rightarrow 0$} imply convergence", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "748--749", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54H25 (40A05)", MRnumber = "82d:54056", MRreviewer = "Rainald Sch{\"o}neberg", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Johnson:1980:EPI, author = "B. R. Johnson", title = "An elementary proof of inclusion-exclusion formulas", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "9", pages = "750--751", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60-01", MRnumber = "82m:60001", MRreviewer = "Mauro Cerasoli", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{DeTemple:1980:CBC, author = "Duane W. DeTemple and Jack M. Robertson", title = "Constructing {Buffon} curves from their distributions", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "10", pages = "779--784", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60D05 (53C65)", MRnumber = "83c:60021", MRreviewer = "Lars Holst", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Roman:1980:FFB, author = "Steven Roman", title = "The formula of {Fa{\`a} di Bruno}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "10", pages = "805--809", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (05A10)", MRnumber = "82d:26003", MRreviewer = "J. S. Lipi{\'n}ski", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Halperin:1980:BTA, author = "Israel Halperin and Peter Rosenthal", title = "Burnside's theorem on algebras of matrices", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "10", pages = "810--810", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A30 (15A04)", MRnumber = "82b:15009", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ecker:1980:CNC, author = "A. Ecker", title = "Comment on the note: {{``The congruence $a^{r+s}\equiv a^{r} \pmod {m}$''} [Amer. Math. Monthly {\bf 85} (1978), no. 2, 97--100, MR {\bf 57} \#12355] by A. E. Livingston and M. L. Livingston}", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "10", pages = "811--814", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A10", MRnumber = "82g:10006", MRreviewer = "Calvin T. Long", bibdate = "Tue Jan 06 08:34:43 1998", note = "See \cite{Livingston:1978:C}.", acknowledgement = ack-nhfb, } @Article{Henle:1980:FAS, author = "J. M. Henle", title = "Functions with arbitrarily small periods", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "10", pages = "816--816", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A20", MRnumber = "82d:28007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cowen:1980:RAH, author = "C. C. Cowen and K. R. Davidson and R. P. Kaufman", title = "Rearranging the alternating harmonic series", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "10", pages = "817--819", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05", MRnumber = "82b:40002", MRreviewer = "Josef Antoni", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Burckel:1980:SCG, author = "R. B. Burckel", title = "A strong converse to {Gauss}'s mean-value theorem", journal = j-AMER-MATH-MONTHLY, volume = "87", number = "10", pages = "819--820", month = "????", year = "1980", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "31A05", MRnumber = "82c:31001", MRreviewer = "M. Ohtsuka", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Grofman:1981:FAB, author = "Bernard Grofman", title = "Fair apportionment and the {Banzhaf} index", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "1--5", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90A08", MRnumber = "82m:90013", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Roth:1981:RFF, author = "B. Roth", title = "Rigid and flexible frameworks", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "6--21", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57Q99 (53C45)", MRnumber = "83a:57027", MRreviewer = "Robert Connelly", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Quine:1981:PEC, author = "J. R. Quine", title = "Pl{\"u}cker equations for curves", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "21--29", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "14N10 (53A20)", MRnumber = "82k:14052", MRreviewer = "S. L. Kleiman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Meyer:1981:APR, author = "Kenneth R. Meyer", title = "An application of {Poincar{\'e}}'s recurrence theorem to academic administration", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "32--33", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A69 (34C35 58F10)", MRnumber = "83d:00023", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schaefer:1981:SPR, author = "Paul Schaefer", title = "Sum-preserving rearrangements of infinite series", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "33--40", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A05 (40A05)", MRnumber = "82j:05003", MRreviewer = "M. E. Cohen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Mendez:1981:LLN, author = "C. G. M{\'e}ndez", title = "On the law of large numbers, infinite games, and category", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "40--42", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28C15 (60F99)", MRnumber = "83f:28012", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dean:1981:RPW, author = "Richard A. Dean", title = "A rational polynomial whose group is the quaternions", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "42--45", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E10", MRnumber = "82h:12021", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bridges:1981:MPG, author = "Douglas S. Bridges", title = "On {Montel}'s proof of the great {Picard} theorem", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "45--47", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D35", MRnumber = "82e:30032", MRreviewer = "N. V. Rao", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zamfirescu:1981:MMF, author = "Tudor Zamfirescu", title = "Most monotone functions are singular", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "47--49", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A30", MRnumber = "83a:26012", MRreviewer = "B. K. Lahiri", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilf:1981:AIP, author = "Herbert S. Wilf", title = "An algorithm-inspired proof of the spectral theorem in {$E^{n}$}", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "49--50", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A18", MRnumber = "82h:15010", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Meyerson:1981:EPS, author = "Mark D. Meyerson", title = "Every power series is a {Taylor} series", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "51--52", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (30B10)", MRnumber = "82h:26005", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Isbell:1981:SFM, author = "John Isbell", title = "Submodules of free modules", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "1", pages = "53--53", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A06", MRnumber = "82g:16013", MRreviewer = "P. M. Cohn", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zaslavsky:1981:GRS, author = "Thomas Zaslavsky", title = "The geometry of root systems and signed graphs", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "2", pages = "88--105", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (05B25 05C15 17B20 32B20)", MRnumber = "82g:05012", MRreviewer = "Thomas A. Dowling", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Salwach:1981:PBT, author = "Chester J. Salwach", title = "Planes, biplanes, and their codes", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "2", pages = "106--125", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B05 (05-01)", MRnumber = "82c:05018", MRreviewer = "E. F. Assmus, Jr.", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Siegberg:1981:SHR, author = "Hans Willi Siegberg", title = "Some historical remarks concerning degree theory", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "2", pages = "125--139", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "55-03 (01A55 01A60 55M25)", MRnumber = "82e:55001", MRreviewer = "D. E. Sanderson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Buck:1981:CCF, author = "R. Creighton Buck", title = "Characterization of classes of functions", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "2", pages = "139--142", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B40", MRnumber = "82f:26017", MRreviewer = "Manfred v. Golitschek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Childs:1981:MGR, author = "Lindsay N. Childs and Morris Orzech", title = "On modular group rings, normal bases, and fixed points", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "2", pages = "142--145", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12F10", MRnumber = "82j:12025", MRreviewer = "H. F. Kreimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Phillips:1981:ANA, author = "G. M. Phillips", title = "Archimedes the numerical analyst", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "165--169", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A20 (41A25)", MRnumber = "83e:01005", MRreviewer = "Garry J. Tee", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ratliff:1981:BHS, author = "L. J. {Ratliff, Jr.}", title = "A brief history and survey of the catenary chain conjectures", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "169--178", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "13-02 (01A65 13E05)", MRnumber = "82i:13004", MRreviewer = "Stephen McAdam", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Merris:1981:PCT, author = "Russell Merris", title = "{P{\'o}lya}'s counting theorem via tensors", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "179--185", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (15A69 20B25)", MRnumber = "84h:05006", bibdate = "Sat Dec 06 16:30:09 1997", acknowledgement = ack-nhfb, } @Article{Feldman:1981:PLT, author = "Marcus B. Feldman", title = "A proof of {Lusin}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "191--192", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A20", MRnumber = "82h:28006", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cusmariu:1981:PAM, author = "Adolf Cusmariu", title = "A proof of the arithmetic mean-geometric mean inequality", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "192--194", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D15 (05A20 40A99)", MRnumber = "82g:26024", MRreviewer = "D. C. Russell", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gagola:1981:VPI, author = "S. M. {Gagola, Jr.} and S. C. Garrison and M. R. Pettet", title = "On a vanishing product in the integral group ring", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "195--196", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20C05", MRnumber = "82i:20006", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Snapper:1981:AGE, author = "Ernst Snapper", title = "An affine generalization of the {Euler} line", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "196--198", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51A20", MRnumber = "82h:51003", MRreviewer = "Cyril W. L. Garner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Riley:1981:NSC, author = "Charles Riley", title = "A note on strict convexity", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "198--199", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46A06", MRnumber = "82i:46006", MRreviewer = "W. W. Breckner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kertzner:1981:LDE, author = "Stanley Kertzner", title = "The linear {Diophantine} equation", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "200--203", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10B05 (68C05)", MRnumber = "82h:10017", MRreviewer = "Andrew Bremner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hueber:1981:UCC, author = "Hermann Hueber", title = "On uniform continuity and compactness in metric spaces", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "204--205", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54E35 (54C05)", MRnumber = "82h:54045", MRreviewer = "C. M. Pareek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Deutsch:1981:BZP, author = "Emeric Deutsch", title = "Bounds for the zeros of polynomials", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "3", pages = "205--206", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C15", MRnumber = "82j:30008", MRreviewer = "M. Marden", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knoebel:1981:ER, author = "R. Arthur Knoebel", title = "Exponentials reiterated", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "235--252", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A18 (10B25 92A09)", MRnumber = "82e:26004", MRreviewer = "L. Losonczi", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brenner:1981:PFT, author = "J. L. Brenner and R. C. Lyndon", title = "Proof of the fundamental theorem of algebra", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "253--256", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C15 (12D05)", MRnumber = "82e:30010", MRreviewer = "M. Marden", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brown:1981:FPQ, author = "Ezra Brown", title = "The first proof of the quadratic reciprocity law, revisited", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "257--264", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A15 (01A50)", MRnumber = "82d:10008", MRreviewer = "K. S. Williams", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kannai:1981:EPN, author = "Yakar Kannai", title = "An elementary proof of the no-retraction theorem", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "264--268", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B99 (55M20)", MRnumber = "82i:26007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kraft:1981:ERP, author = "James Kraft and Michael Rosen", title = "{Eisenstein} reciprocity and $n$th-power residues", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "269--270", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A15", MRnumber = "82g:10008", MRreviewer = "C. Small", bibdate = "Sat Dec 06 16:18:36 1997", acknowledgement = ack-nhfb, } @Article{Ewell:1981:EPT, author = "John A. Ewell", title = "An easy proof of the triple-product identity", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "270--272", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A19 (05A15)", MRnumber = "82e:05022", MRreviewer = "J. L. Brenner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Sentance:1981:OCO, author = "W. A. Sentance", title = "Occurrences of consecutive odd powerful numbers", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "272--274", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A25", MRnumber = "82d:10016", MRreviewer = "Paul Hartung", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pecaric:1981:NII, author = "Josip E. Pe{\v{c}}ari{\'c}", title = "Note on: {{``An integral inequality''} [Amer. Math. Monthly {\bf 61} (1954), 626--631, MR {\bf 16}, 342] by K. Fan and G. G. Lorentz}", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "275--276", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D15", MRnumber = "82d:26013", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Fan:1954:II}.", acknowledgement = ack-nhfb, } @Article{Marcus:1981:AEA, author = "Daniel A. Marcus", title = "An alternative to {Euclid}'s algorithm", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "280--283", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A05", MRnumber = "82e:10005", MRreviewer = "Paul Hartung", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Copeland:1981:CLG, author = "Arthur H. {Copeland, Jr.} and Albert O. Shar", title = "Constructing loops from groups", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "283--285", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20N05", MRnumber = "82f:20099", MRreviewer = "K. W. Weston", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Porter:1981:NAO, author = "G. J. Porter", title = "New angles on an old game", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "4", pages = "285--286", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06", MRnumber = "83g:26003", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Davis:1981:TCM, author = "Philip J. Davis", title = "Are there coincidences in mathematics", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "5", pages = "311--320", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A25", MRnumber = "83a:00008", MRreviewer = "Richard A. DeMillo", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hrusa:1981:ECC, author = "W. Hrusa and J. L. Troutman", title = "Elementary characterization of classical minima", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "5", pages = "321--327", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "49-01 (53-01)", MRnumber = "82f:49001", MRreviewer = "R. Osserman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Griffiths:1981:CVR, author = "H. B. Griffiths", title = "Cayley's version of the resultant of two polynomials", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "5", pages = "328--338", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05 (15A15)", MRnumber = "82h:12020", MRreviewer = "C. F. Moppert", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Golomb:1981:CCP, author = "Solomon W. Golomb", title = "Corrections to: {{``Cyclotomic polynomials and factorization theorems''} [Amer. Math. Monthly {\bf 85} (1978), no. 9, 734--737, MR 80e:10011]}", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "5", pages = "338--339", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A25", MRnumber = "82c:10010", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Golomb:1978:CPF}.", acknowledgement = ack-nhfb, } @Article{Boes:1981:FSI, author = "Duane Boes and Richard Darst and Paul Erd{\"o}s", title = "Fat, symmetric, irrational {Cantor} sets", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "5", pages = "340--341", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A30 (28A05)", MRnumber = "83i:26003", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dence:1981:MCE, author = "Thomas P. Dence", title = "On the monotonicity of a class of exponential sequences", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "5", pages = "341--344", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40-01 (26-01)", MRnumber = "82i:40001", MRreviewer = "H. P. Dikshit", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rosen:1981:ATL, author = "Michael Rosen", title = "{Abel}'s theorem on the lemniscate", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "387--395", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "14K07 (01A55 33A25)", MRnumber = "82g:14041", MRreviewer = "R. A. Askey", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Burckel:1981:IAS, author = "R. B. Burckel", title = "Iterating analytic self-maps of discs", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "396--407", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D05", MRnumber = "82g:30046", MRreviewer = "I. N. Baker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Grosshans:1981:RMC, author = "Frank D. Grosshans", title = "Rigid motions of conics: an introduction to invariant theory", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "407--413", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A72 (14L30)", MRnumber = "83a:15019", MRreviewer = "V. L. Popov", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Luchins:1981:WMF, author = "Edith H. Luchins", title = "Women and mathematics: fact and fiction", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "413--419", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A05 (01A80)", MRnumber = "82i:00002", MRreviewer = "H.-J. Vollrath", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bloom:1981:GRC, author = "John Bloom and Lee Whitt", title = "The geometry of rolling curves", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "420--426", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A17 (70B10)", MRnumber = "82h:53013", MRreviewer = "Hellmuth Stachel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Holbrook:1981:SIS, author = "John A. R. Holbrook", title = "Stochastic independence and space-filling curves", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "426--432", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A12 (60D05 60E05)", MRnumber = "82i:28005", MRreviewer = "K. Jacobs", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Sternfeld:1981:HCE, author = "Y. Sternfeld", title = "Homeomorphisms of cubes into {Euclidean} spaces", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "436--439", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54C35", MRnumber = "83b:54020", MRreviewer = "James M. Kister", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Small:1981:MCT, author = "Robert D. Small", title = "Modified convergence of {Taylor} series", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "439--441", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24 (30B30)", MRnumber = "83g:26009", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Sobczyk:1981:EIV, author = "Andrew Sobczyk", title = "Equivalence of an identity in vector analysis to quaternion associativity, and ramifications", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "6", pages = "441--443", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "17A01 (16A46)", MRnumber = "83m:17001", MRreviewer = "S. C. Althoen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lane:1981:MMS, author = "Saunders Mac Lane", title = "Mathematical models: a sketch for the philosophy of mathematics", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "462--472", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A25", MRnumber = "83d:00017", MRreviewer = "F. J. Murray", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dubins:1981:MGS, author = "L. E. Dubins and D. A. Freedman", title = "{Machiavelli} and the {Gale-Shapley} algorithm", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "485--494", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90B35", MRnumber = "82m:90089", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Grattan-Guinness:1981:DLB, author = "I. Grattan-Guinness", title = "On the development of logics between the two {World Wars}", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "495--509", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03-03 (01A60)", MRnumber = "82k:03003", MRreviewer = "E. Mendelson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wong:1981:PCM, author = "Edward T. Wong", title = "Polygons, circulant matrices, and {Moore-Penrose} inverses", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "509--515", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A04 (15A09)", MRnumber = "82m:15004", MRreviewer = "John D. McFall", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cooke:1981:APF, author = "Roger L. Cooke", title = "Almost-periodic functions", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "515--526", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "42A75", MRnumber = "83b:42012", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Newman:1981:DAF, author = "D. J. Newman", title = "Differentiation of asymptotic formulas", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "526--527", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06", MRnumber = "82h:26006", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Abian:1981:GGM, author = "Alexander Abian", title = "Generalizing the generalized mean-value theorem", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "528--530", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24 (26A06)", MRnumber = "82j:26006", MRreviewer = "F. Brooks", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Alefeld:1981:CHM, author = "G. Alefeld", title = "On the convergence of {Halley}'s method", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "7", pages = "530--536", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65H05", MRnumber = "82k:65024", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Katchalski:1981:EPS, author = "M. Katchalski and M. S. Klamkin and A. Liu", title = "An experience in problem solving", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "551--556", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A17", MRnumber = "83b:05011", MRreviewer = "D. J. Kleitman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Arthur:1981:WPC, author = "W. B. Arthur", title = "Why a population converges to stability", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "557--563", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "92A15 (28D99 60J99)", MRnumber = "83e:92037", MRreviewer = "K. Jacobs", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rappaport:1981:KML, author = "Karen D. Rappaport", title = "{S. Kovalevsky}: a mathematical lesson", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "564--574", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70", MRnumber = "83c:01054", MRreviewer = "J. Ernest", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Abikoff:1981:UT, author = "William Abikoff", title = "The uniformization theorem", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "574--592", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30-03 (01A55 01A60 30F10)", MRnumber = "83a:30001", MRreviewer = "B. Maskit", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kenschaft:1981:BWM, author = "Patricia C. Kenschaft", title = "Black women in mathematics in the {United States}", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "592--604", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A80", MRnumber = "83c:01071", MRreviewer = "J. Ernest", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Garner:1981:MQS, author = "Cyril W. L. Garner and Agnes M. Herzberg", title = "On {McCarty}'s queen squares", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "612--613", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B15", MRnumber = "82k:05024", MRreviewer = "Jennifer Seberry", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Stromquist:1981:AHC, author = "Walter Stromquist", title = "Addendum to: {{``How to cut a cake fairly''} [Amer. Math. Monthly {\bf 87} (1980), no. 8, 640--644, MR 81m:05016]}", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "613--614", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A17", MRnumber = "82j:05019", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Stromquist:1980:HCC}.", acknowledgement = ack-nhfb, } @Article{Shafroth:1981:GFC, author = "Chantal Shafroth", title = "A generalization of the formula for computing the inverse of a matrix", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "614--616", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A09", MRnumber = "82j:15006", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schoenberg:1981:DDJ, author = "I. J. Schoenberg", title = "A direct derivation of a {Jacobian} identity from elliptic functions", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "8", pages = "616--618", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A25", MRnumber = "82j:33003", MRreviewer = "N. C. Jain", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Srinivasan:1981:CFG, author = "Bhama Srinivasan", title = "Characters of finite groups: some uses and mathematical applications", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "639--646", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20C15 (05A15 10H08 20-01)", MRnumber = "84d:20013", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Delahaye:1981:SPP, author = "J.-P. Delahaye", title = "The set of periodic points", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "646--651", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58F20 (26A18)", MRnumber = "83h:58081", MRreviewer = "Leo Jonker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bruce:1981:CPC, author = "J. W. Bruce and P. J. Giblin and C. G. Gibson", title = "On caustics of plane curves", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "651--667", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A04 (58C27 78A05)", MRnumber = "83d:53002", MRreviewer = "James Callahan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Narici:1981:STN, author = "Lawrence Narici and Edward Beckenstein", title = "Strange terrain --- non-{Archimedean} spaces", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "667--676", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46P05 (12B40)", MRnumber = "83g:46071", MRreviewer = "N. De Grande-De Kimpe", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hansen:1981:SFS, author = "Eldon Hansen", title = "Sums of functions satisfying recursion relations", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "676--679", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A65", MRnumber = "82m:33007", MRreviewer = "James M. Horner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Golomb:1981:NDD, author = "Solomon W. Golomb", title = "Normed division domains", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "680--686", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "06A10 (05B20 05C70 06F99)", MRnumber = "84e:06002", MRreviewer = "D. A. Klarner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dodziuk:1981:ELH, author = "Jozef Dodziuk", title = "Eigenvalues of the {Laplacian} and the heat equation", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "686--695", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "35P20 (10C15 10J25 58G25)", MRnumber = "83d:35125", MRreviewer = "P. G{\"u}nther", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Johnsonbaugh:1981:TRS, author = "Richard Johnsonbaugh", title = "The trapezoid rule, {Stirling}'s formula, and {Euler}'s constant", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "696--698", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (40A05)", MRnumber = "83a:26006", MRreviewer = "G. A. Heuer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kohlberg:1981:ABN, author = "Elon Kohlberg and Abraham Neyman", title = "Asymptotic behavior of nonexpansive mappings in uniformly convex {Banach} spaces", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "9", pages = "698--700", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47H10", MRnumber = "83c:47077", MRreviewer = "A. Pazy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1981:PI, author = "Donald E. Knuth", title = "A permanent inequality", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "10", pages = "731--740, 798", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A15", MRnumber = "83m:15006", MRreviewer = "D. London", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Berresford:1981:CT, author = "Geoffrey C. Berresford", title = "Cauchy's theorem", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "10", pages = "741--744", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30-01", MRnumber = "84a:30001", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Guggenheimer:1981:HMH, author = "Heinrich Guggenheimer", title = "The {Hilbert} model of hyperbolic geometry", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "10", pages = "744--748", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M10 (52A50)", MRnumber = "84b:51031", MRreviewer = "J. B. Pavl{\'\i}{\v{c}}ek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Buchman:1981:ITC, author = "Edwin Buchman", title = "The impossibility of tiling a convex region with unequal equilateral triangles", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "10", pages = "748--753", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A45", MRnumber = "84b:52020", MRreviewer = "P. McMullen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{McLain:1981:NWG, author = "Katherine E. McLain and Hugh M. Edgar", title = "A note on {S. W. Golomb}'s: {{``Cyclotomic polynomials and factorization theorems''} [Amer. Math. Monthly {\bf 85} (1978), no. 9, 734--737, MR 80e:10011]}", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "10", pages = "753--753", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A25", MRnumber = "84b:10012", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Golomb:1978:CPF}.", acknowledgement = ack-nhfb, } @Article{Salat:1981:FMN, author = "Tibor {\v{S}}al{\'a}t", title = "On functions that are monotone on no interval", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "10", pages = "754--755", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A48", MRnumber = "84e:26011", MRreviewer = "Luciana Lupa\cedla s", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Davis:1981:MSM, author = "Richard A. Davis", title = "More on similarity of matrices", journal = j-AMER-MATH-MONTHLY, volume = "88", number = "10", pages = "761--762", month = "????", year = "1981", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21 (15A04)", MRnumber = "83k:15011", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bonsall:1982:EVM, author = "F. F. Bonsall", title = "A down-to-earth view of mathematics", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "1", pages = "8--15", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A25 (01A80 03A05)", MRnumber = "83d:00013", MRreviewer = "F. J. Murray", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Duijvestijn:1982:CPS, author = "A. J. W. Duijvestijn and P. J. Federico and P. Leeuw", title = "Compound perfect squares", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "1", pages = "15--32", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B40 (10B05)", MRnumber = "83h:05031", MRreviewer = "D. A. Klarner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wavrik:1982:CMP, author = "John Wavrik", title = "Computers and the multiplicity of polynomial roots", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "1", pages = "34--36, 45--56", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12-04 (12D05 65-04)", MRnumber = "82m:12002", MRreviewer = "Maurice Mignotte", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Small:1982:SPF, author = "Charles Small", title = "A simple proof of the four-squares theorem", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "1", pages = "59--61", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10J05", MRnumber = "83d:10059", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Price:1982:ADS, author = "G. Baley Price", title = "Award for distinguished service to {Dr. Thornton Carl Fry}", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "2", pages = "81--83 (1 plate)", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70", MRnumber = "83a:01055", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rothman:1982:GBF, author = "Tony Rothman", title = "Genius and biographers: the fictionalization of {{\'E}variste Galois}", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "2", pages = "84--106", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A55 (01A70)", MRnumber = "83h:01046", MRreviewer = "J. Dieudonn{\'e}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Norwood:1982:LP, author = "F. H. Norwood", title = "Long proofs", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "2", pages = "110--112", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03-01 (03B35 03F20)", MRnumber = "82m:03002", MRreviewer = "Perry Smith", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Simoson:1982:AP, author = "Andrew Simoson", title = "An {``Archimedean''} paradox", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "2", pages = "114--116, 125", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05", MRnumber = "83a:28001", MRreviewer = "B. Rodr{\'\i}guez-Salinas", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nair:1982:CTI, author = "M. Nair", title = "On {Chebyshev-type} inequalities for primes", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "2", pages = "126--129", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10H15", MRnumber = "83f:10043", MRreviewer = "S. Ikehara", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fearnley-Sander:1982:HGP, author = "Desmond Fearnley-Sander", title = "{Hermann Grassmann} and the prehistory of universal algebra", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "3", pages = "161--166", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A55 (08-03)", MRnumber = "83b:01039", MRreviewer = "G. Gr{\"a}tzer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chicone:1982:GPQ, author = "Carmen Chicone and Jing Huang Tian", title = "On general properties of quadratic systems", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "3", pages = "167--178", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34C05 (58F21)", MRnumber = "84f:34044", MRreviewer = "C. S. Coleman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Reilly:1982:MCL, author = "Robert C. Reilly", title = "Mean curvature, the {Laplacian}, and soap bubbles", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "3", pages = "180--188, 197--198", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A10 (49F10 53C45)", MRnumber = "83e:53005", MRreviewer = "Hansklaus Rummler", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Li:1982:EQO, author = "Hong Xiang Li", title = "Elementary quadratures of ordinary differential equations", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "3", pages = "198--208", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34A05", MRnumber = "83d:34008", MRreviewer = "Nicolae Luca", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Shih:1982:ABT, author = "Mau Hsiang Shih", title = "An analog of {Bolzano}'s theorem for functions of a complex variable", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "3", pages = "210--211", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C15", MRnumber = "83b:30007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Walter:1982:ONA, author = "Wolfgang Walter", title = "Old and new approaches to {Euler}'s trigonometric expansions", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "4", pages = "225--230", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A50 (40A20)", MRnumber = "83e:01032", MRreviewer = "Esther R. Phillips", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rosenfeld:1982:HDC, author = "Azriel Rosenfeld", title = "How a digital computer can tell whether a line is straight", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "4", pages = "231--235", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68K05 (51-04)", MRnumber = "83d:68095", MRreviewer = "Sidney Berkowitz", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hwang:1982:NCS, author = "F. K. Hwang", title = "New concepts in seeding knockout tournaments", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "4", pages = "235--239", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D10 (05C20)", MRnumber = "83g:90160", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Madguerova:1982:BPG, author = "Andreana S. Madguerova", title = "On {Bridges}' proof of the great {Picard} theorem", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "4", pages = "239--239", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D35", MRnumber = "83e:30033", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rudin:1982:NGF, author = "Walter Rudin", title = "Nonuniqueness and growth in first-order differential equations", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "4", pages = "241--244", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34A10", MRnumber = "83f:34009", MRreviewer = "T. G. Proctor", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bose:1982:LDE, author = "A. K. Bose", title = "Linear differential equations on the complex plane", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "4", pages = "244--249", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34A20 (34A30)", MRnumber = "83g:34007", MRreviewer = "Otto Knab", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Flanders:1982:FI, author = "Harley Flanders", title = "On the {Fresnel} integrals", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "4", pages = "264--266", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06", MRnumber = "83g:26001", MRreviewer = "G. Gasper", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilf:1982:WA, author = "Herbert S. Wilf", title = "What is an answer", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "289--292", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (68C25)", MRnumber = "83c:05010", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Jacobson:1982:MVT, author = "Bernard Jacobson", title = "On the mean value theorem for integrals", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "300--301", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26A24)", MRnumber = "83g:26002", MRreviewer = "A. G. Azpeitia", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See errata \cite{Wong:1990:EMV}.", acknowledgement = ack-nhfb, } @Article{Challener:1982:CRT, author = "David Challener and Lee Rubel", title = "A converse to {Rouch{\'e}}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "302--305", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D50 (30C15)", MRnumber = "83e:30035", MRreviewer = "D. Protas", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Salzberg:1982:RPC, author = "Pablo M. Salzberg", title = "A reflection principle for calculating the derivatives of a polynomial", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "305--307", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24 (12H05)", MRnumber = "84k:26006", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Scott:1982:BTS, author = "Brian M. Scott and Zachary Robinson", title = "The boundary topology of a space", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "307--309", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54A10", MRnumber = "83h:54002", MRreviewer = "V. Kannan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wolk:1982:IST, author = "E. S. Wolk", title = "On the inadequacy of subnets and transfinite sequences", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "310--311", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54A20 (54G20)", MRnumber = "83f:54002", MRreviewer = "Thomas W. Rishel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Azpeitia:1982:LRT, author = "Alfonso G. Azpeitia", title = "On the {Lagrange} remainder of the {Taylor} formula", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "311--312", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24", MRnumber = "83e:26008", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rice:1982:RPO, author = "Norman M. Rice", title = "On $n$th roots of positive operators", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "313--314", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47B15", MRnumber = "83e:47012", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Clausing:1982:KTI, author = "Achim Clausing", title = "{Kantorovich-type} inequalities", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "5", pages = "314, 327--330", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D15", MRnumber = "83g:26026", MRreviewer = "Peter Bullen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fraenkel:1982:HBY, author = "Aviezri S. Fraenkel", title = "How to beat your {Wythoff} games' opponent on three fronts", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "353--361", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D05", MRnumber = "84k:90099", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hatcher:1982:CA, author = "William S. Hatcher", title = "Calculus is algebra", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "362--370", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03H05 (26E35)", MRnumber = "83g:03073", MRreviewer = "P. A. Loeb", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Buchman:1982:NHN, author = "Edwin O. Buchman and Frederick A. Valentine", title = "Any new {Helly} numbers", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "370--375", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A35", MRnumber = "83m:52017", MRreviewer = "G. D. Chakerian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Strichartz:1982:RIV, author = "Robert S. Strichartz", title = "{Radon} inversion --- variations on a theme", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "377--384, 420--423", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "44A15 (28A35 92A07)", MRnumber = "83m:44008", MRreviewer = "Ulrich Oppel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Richman:1982:MIC, author = "Fred Richman", title = "Meaning and information in constructive mathematics", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "385--388", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03-01 (03F65)", MRnumber = "83f:03006", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ayoub:1982:NGP, author = "Raymond G. Ayoub", title = "On the nonsolvability of the general polynomial", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "397--401", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E12 (12-03 12F10)", MRnumber = "84h:12033", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kalman:1982:CFF, author = "Dan Kalman", title = "Central functions and fixed points", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "401--402", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20B99 (04A05)", MRnumber = "83g:20006", MRreviewer = "J. L. Brenner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Potts:1982:DDE, author = "Renfrey B. Potts", title = "Differential and difference equations", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "402--407", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34A45 (39A10)", MRnumber = "83j:34015", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Janusz:1982:OA, author = "Gerald Janusz and Joseph Rotman", title = "Outer automorphisms of {$S_{6}$}", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "407--410", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20B10", MRnumber = "83g:20002", MRreviewer = "J. L. Brenner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bagchi:1982:NOF, author = "Amitava Bagchi and Edward M. Reingold", title = "A naturally occurring function continuous only at irrationals", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "411--417", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A15", MRnumber = "84b:26002", MRreviewer = "K. M. Garg", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wene:1982:LCA, author = "G. P. Wene", title = "A little color in abstract algebra", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "6", pages = "417--419", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "17A15 (81G25)", MRnumber = "83f:17002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Clark:1982:SAP, author = "Dean S. Clark", title = "On some abstract properties of binomial coefficients", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "7", pages = "433--443", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A19 (05A10 60C05)", MRnumber = "84a:05005", MRreviewer = "G. L. Alexanderson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fisher:1982:EFI, author = "Dawn Fisher", title = "Extending functions to infinitesimals of finite order", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "7", pages = "443--449", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03H05 (26E35)", MRnumber = "84f:03058", MRreviewer = "Robert M. Anderson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Snyder:1982:FR, author = "W. M. Snyder", title = "Factoring repunits", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "7", pages = "462--466", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10A25 (12A35 12C20)", MRnumber = "84h:10011", MRreviewer = "J. Wolfart", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cater:1982:MMF, author = "F. S. Cater", title = "Most monotone functions are not singular", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "7", pages = "466--469", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B30", MRnumber = "84e:26015", MRreviewer = "Henryk Fast", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Strang:1982:WC, author = "Gilbert Strang", title = "The width of a chair", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "8", pages = "529--534", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A10 (52A15)", MRnumber = "84e:52005", MRreviewer = "J. W. Moon", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Devaney:1982:BSC, author = "Robert L. Devaney", title = "Blowing up singularities in classical mechanical systems", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "8", pages = "535--552", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58F05 (58C27 58F09 70F35)", MRnumber = "84c:58025", MRreviewer = "Ya. V. Tatarinov", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Johnsonbaugh:1982:PNM, author = "Richard Johnsonbaugh and Tadao Murata", title = "{Petri} nets and marked graphs --- mathematical models of concurrent computation", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "8", pages = "552--566", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68D90 (05C20)", MRnumber = "83j:68067", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fredricks:1982:STM, author = "Gregory A. Fredricks", title = "Sylvester's theorem for matrices with smooth entries", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "8", pages = "586--587", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58A99 (15A57)", MRnumber = "84e:58008", MRreviewer = "T. Walters", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rosay:1982:IHM, author = "Jean-Pierre Rosay", title = "Injective holomorphic mappings", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "8", pages = "587--588", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "32H99", MRnumber = "83m:32029", MRreviewer = "G. Berg", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{James:1982:BBS, author = "Robert C. James", title = "Bases in {Banach} spaces", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "9", pages = "625--640", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46B15 (46-01)", MRnumber = "84h:46019", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wong:1982:SCM, author = "Yung Chow Wong and Kai Man Tsang", title = "A strong converse of {Morley}'s trisector theorem", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "9", pages = "642--653", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05", MRnumber = "84d:51027", MRreviewer = "Hellmuth Stachel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brown:1982:FPP, author = "Robert F. Brown", title = "The fixed point property and {Cartesian} products", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "9", pages = "654--678", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54H25 (55M20)", MRnumber = "84e:54047", MRreviewer = "E. Fadell", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Marshall:1982:CPH, author = "A. W. Marshall and I. Olkin", title = "A convexity proof of {Hadamard}'s inequality", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "9", pages = "687--688", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A45 (15A15)", MRnumber = "84f:15023", MRreviewer = "Emilie V. Haynsworth", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ungar:1982:GHF, author = "Abraham Ungar", title = "Generalized hyperbolic functions", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "9", pages = "688--691", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A35 (15A54)", MRnumber = "84c:33008", MRreviewer = "Morris Newman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Duncan:1982:TQL, author = "Donald Duncan and William Barnier", title = "On trisection, quintisection, \ldots, etc.", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "9", pages = "693--693", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15", MRnumber = "84b:51032", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Proctor:1982:STD, author = "Robert A. Proctor", title = "Solution of two difficult combinatorial problems with linear algebra", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "10", pages = "721--734", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A05 (05-02 06A10 15A04)", MRnumber = "84f:05002", MRreviewer = "Ira Gessel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Small:1982:E, author = "Charles Small", title = "On the equation $xyz=x+y+z=1$", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "10", pages = "736--749", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "14K15 (10B10 14G05 14G15 14K07)", MRnumber = "84c:14038", MRreviewer = "M. A. Kenku", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bell:1982:SWW, author = "Murray Bell and John Ginsburg", title = "A space which will not go where its proper subspaces want it to go", journal = j-AMER-MATH-MONTHLY, volume = "89", number = "10", pages = "749--751", month = "????", year = "1982", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54C25", MRnumber = "83m:54023", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1983:EPE, author = "Donald E. Knuth", title = "Elementary problem {E2982}, a double infinite sum for $\vert x\vert$", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "??", pages = "54--54", year = "1983", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:57:38 1994", note = "Solution in \cite{Knuth:1989:SEP}.", } @Article{Ortiz:1983:ALC, author = "E. L. Ortiz and T. J. Rivlin", title = "Another look at the {Chebyshev} polynomials", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "1", pages = "3--10", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A65", MRnumber = "84d:33014", MRreviewer = "H. E. Fettis", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fletcher:1983:ADJ, author = "R. Fletcher and D. C. Sorensen", title = "An algorithmic derivation of the {Jordan} canonical form", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "1", pages = "12--16", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21", MRnumber = "84d:15011", MRreviewer = "Thomas H. Foregger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Miel:1983:CPP, author = "George Miel", title = "Of calculations past and present: the {Archimedean} algorithm", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "1", pages = "17--35", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A05 (65-03 65G10)", MRnumber = "85a:01006", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rudin:1983:WDM, author = "Walter Rudin", title = "Well-distributed measurable sets", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "1", pages = "41--42", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05", MRnumber = "84m:28001", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gelbaum:1983:AMP, author = "Bernard R. Gelbaum", title = "An algorithm for the minimal polynomial of a matrix", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "1", pages = "43--44", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A24 (15A15)", MRnumber = "84g:15014", MRreviewer = "M. Shafqat Ali", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Moler:1983:SVA, author = "Cleve Moler and Donald Morrison", title = "Singular value analysis of cryptograms", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "2", pages = "78--87", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68G10 (94B99)", MRnumber = "84c:68080", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fenn:1983:WGS, author = "Roger Fenn", title = "What is the geometry of a surface", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "2", pages = "87--98", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M10 (57N05)", MRnumber = "84i:51027", MRreviewer = "J. B. Pavl{\'\i}{\v{c}}ek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{McIntosh:1983:NSC, author = "Richard McIntosh", title = "A necessary and sufficient condition for the primality of {Fermat} numbers", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "2", pages = "98--99", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B83", MRnumber = "85c:11022", MRreviewer = "M. Livingston", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Stout:1983:RD, author = "Quentin F. Stout and Patricia A. Woodworth", title = "Relational databases", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "2", pages = "101--118", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68H05", MRnumber = "84c:68090", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Guthrie:1983:CMC, author = "J. A. Guthrie", title = "A continuous modulus of continuity", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "2", pages = "126--127", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54C05 (26A15)", MRnumber = "84a:54016", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hausner:1983:ASC, author = "Melvin Hausner", title = "Applications of a simple counting technique", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "2", pages = "127--129", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A05 (20A05)", MRnumber = "84e:05005", MRreviewer = "G. L. Alexanderson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Mycielski:1983:MCM, author = "Jan Mycielski", title = "The meaning of the conjecture {${\rm P}\not={\rm NP}$} for mathematical logic", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "2", pages = "129--130", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03-01 (03D15 03F20 68Q15)", MRnumber = "85f:03001", MRreviewer = "Perry Smith", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kendig:1983:AGA, author = "Keith M. Kendig", title = "Algebra, geometry, and algebraic geometry: some interconnections", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "3", pages = "161--174", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "14-03 (01A60)", MRnumber = "84i:14002", MRreviewer = "Peter Br{\"u}ckmann", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Leron:1983:SMP, author = "Uri Leron", title = "Structuring mathematical proofs", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "3", pages = "174--185", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A25", MRnumber = "84d:00012", MRreviewer = "J. F. A. K. van Benthem", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Grabiner:1983:WGY, author = "Judith V. Grabiner", title = "Who gave you the epsilon? {Cauchy} and the origins of rigorous calculus", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "3", pages = "185--194", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A55 (01A50)", MRnumber = "85a:01038", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Duffy:1983:EPI, author = "L. Richard Duffy", title = "An elementary proof of the isomorphism {${\bf C}^{*} \approx S^{1}$}", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "3", pages = "201--202", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20-01", MRnumber = "84c:20001", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Renaud:1983:MIE, author = "J.-C. Renaud", title = "Matrices with integer entries and integer eigenvalues", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "3", pages = "202--203", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A36 (15-01 15A18)", MRnumber = "84c:15024", MRreviewer = "Jean H. Bevis", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See comment \cite{Ortega:1985:CMI}.", acknowledgement = ack-nhfb, } @Article{Romero:1983:WC, author = "Juan L. Romero", title = "When is {$L^p(\mu)$} contained in {$L^q(\mu)$}?", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "3", pages = "203--206", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46E30 (28A05)", MRnumber = "84d:46033", MRreviewer = "Wolfgang Lusky", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hiriart-Urruty:1983:SPV, author = "J.-B. Hiriart-Urruty", title = "A short proof of the variational principle for approximate solutions of a minimization problem", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "3", pages = "206--207", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "49A50 (90C30)", MRnumber = "85g:49014", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Franklin:1983:MME, author = "Joel Franklin", title = "Mathematical methods of economics", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "4", pages = "229--244", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90Axx", MRnumber = "84e:90001", MRreviewer = "Edwin Burmeister", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Jech:1983:RIT, author = "Thomas Jech", title = "The ranking of incomplete tournaments: a mathematician's guide to popular sports", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "4", pages = "246--266", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C20 (00A69 62J15 90D35)", MRnumber = "85i:05122a", MRreviewer = "K. B. Reid", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See supplement \cite{Stob:1984:SMG}.", acknowledgement = ack-nhfb, } @Article{Marden:1983:CCP, author = "Morris Marden", title = "Conjectures on the critical points of a polynomial", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "4", pages = "267--276", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C10 (30C15)", MRnumber = "84e:30007", MRreviewer = "Thomas McCoy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hartig:1983:RRT, author = "Donald G. Hartig", title = "The {Riesz} representation theorem revisited", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "4", pages = "277--280", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46E15 (46M15)", MRnumber = "85c:46021", MRreviewer = "Z. Semadeni", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Posey:1983:FPL, author = "E. E. Posey and J. E. Vaughan", title = "Functions with a proper local maximum in each interval", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "4", pages = "281--282", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A30", MRnumber = "85a:26012", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wen:1983:SFC, author = "Liu Wen", title = "A space filling curve", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "4", pages = "283--283", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A30", MRnumber = "84i:26009", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Choi:1983:TTH, author = "Man Duen Choi", title = "Tricks or treats with the {Hilbert} matrix", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "5", pages = "301--312", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47B35", MRnumber = "84h:47031", MRreviewer = "Jeffrey R. Butz", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Weintraub:1986:LET}.", acknowledgement = ack-nhfb, } @Article{Hirshon:1983:GCG, author = "R. Hirshon", title = "A group with constant growth rate", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "5", pages = "312--317", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20F05", MRnumber = "84m:20039", MRreviewer = "J. Mary Tyrer Jones", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schelin:1983:CFA, author = "Charles W. Schelin", title = "Calculator function approximation", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "5", pages = "317--325", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65D15 (65-03 65-04)", MRnumber = "84h:65021", MRreviewer = "J. Albrycht", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schwenk:1983:HSC, author = "Allen J. Schwenk and J. Ian Munro", title = "How small can the mean shadow of a set be", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "5", pages = "325--329", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40 (52A37)", MRnumber = "84g:52020", MRreviewer = "C. M. Petty", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Blair:1983:UEF, author = "Charles Blair and Lee A. Rubel", title = "A universal entire function", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "5", pages = "331--332", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D20 (30B60)", MRnumber = "85a:30046", MRreviewer = "A. Edrei", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Milnor:1983:GKP, author = "John Milnor", title = "On the geometry of the {Kepler} problem", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "353--365", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "70F05 (51N20 53A04 58F40)", MRnumber = "84i:70008", MRreviewer = "Fu Tong", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Spencer:1983:STL, author = "Joel Spencer", title = "Short theorems with long proofs", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "365--366", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03-01 (00A25)", MRnumber = "85b:03001", MRreviewer = "Perry Smith", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fishburn:1983:FRC, author = "P. C. Fishburn and H. O. Pollak", title = "Fixed-route cost allocation", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "366--378", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90B05", MRnumber = "85c:90026", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Waterhouse:1983:DSP, author = "William C. Waterhouse", title = "Do symmetric problems have symmetric solutions", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "378--387", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57S15 (26B12 57R70 58C25)", MRnumber = "85c:57043", MRreviewer = "Michael J. Field", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Davidson:1983:PLA, author = "Kenneth R. Davidson", title = "Pointwise limits of analytic functions", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "391--394", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D99", MRnumber = "84h:30049", MRreviewer = "D. M. Campbell", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rubel:1983:NEC, author = "Lee A. Rubel and Aristomenis Siskakis", title = "A net of exponentials converging to a nonmeasurable function", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "394--396", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A20", MRnumber = "84m:28004", MRreviewer = "J. S. Lipi{\'n}ski", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kindler:1983:SPD, author = "J{\"u}rgen Kindler", title = "A simple proof of the {Daniell-Stone} representation theorem", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "396--397", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A25", MRnumber = "85a:28002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Austin:1983:EAN, author = "A. Keith Austin", title = "An elementary approach to {NP}-completeness", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "398--399", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68C25 (03D15)", MRnumber = "84m:68031", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chang:1983:IPE, author = "Geng Zhe Chang and Philip J. Davis", title = "Iterative processes in elementary geometry", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "421--431", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15", MRnumber = "84i:51029", MRreviewer = "E. J. F. Primrose", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hill:1983:DFB, author = "Theodore P. Hill", title = "Determining a fair border", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "438--442", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28B05 (28A75 51M20 60A10)", MRnumber = "85b:28007", MRreviewer = "Lester E. Dubins", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Appelgate:1983:SCF, author = "Harry Appelgate and Hironori Onishi", title = "The slow continued fraction algorithm via $2\times 2$ integer matrices", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "443--455", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A55", MRnumber = "85b:11007", MRreviewer = "P{\'e}ter Kiss", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Coppel:1983:ICS, author = "W. A. Coppel", title = "An interesting {Cantor} set", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "456--460", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A75 (10K99)", MRnumber = "84i:28005", MRreviewer = "K. E. Hirst", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Littlejohn:1983:SFD, author = "Lance L. Littlejohn", title = "Symmetry factors for differential equations", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "462--464", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34B25", MRnumber = "85c:34032", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Haruki:1983:EI, author = "H. Haruki and S. Haruki", title = "{Euler}'s integrals", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "464--466", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A99", MRnumber = "84k:26012", MRreviewer = "A. J. van der Poorten", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Williams:1984:LEE}.", acknowledgement = ack-nhfb, } @Article{Walker:1983:HVB, author = "James W. Walker", title = "A homology version of the {Borsuk-Ulam} theorem", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "466--468", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "55M20 (57S17 57S25)", MRnumber = "85e:55006", MRreviewer = "A. Liulevicius", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hughes:1983:NMP, author = "John F. Hughes and J. O. Shallit", title = "On the number of multiplicative partitions", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "468--471", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10H25 (10A45)", MRnumber = "84m:10040", MRreviewer = "Paul T. Bateman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Haimo:1983:CC, author = "Deborah Tepper Haimo and Franklin Tepper Haimo", title = "Comments and complements", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "7", pages = "472--478", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A05", MRnumber = "85a:00002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Berndt:1983:QRR, author = "Bruce C. Berndt", title = "The quarterly reports of {S. Ramanujan}", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "8", pages = "505--516", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A60 (01A70)", MRnumber = "84m:01031", MRreviewer = "R. A. Askey", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cross:1983:EFG, author = "James T. Cross", title = "The {Euler} $\varphi$-function in the {Gaussian} integers", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "8", pages = "518--528", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A25 (11A07)", MRnumber = "85c:11006", MRreviewer = "K. Szymiczek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bruce:1983:GG, author = "J. W. Bruce and P. J. Giblin", title = "Generic geometry", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "8", pages = "529--545", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58C27 (53A04 57R45 58-02)", MRnumber = "84m:58017", MRreviewer = "T. Banchoff", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Krantz:1983:CSD, author = "Steven G. Krantz", title = "Characterization of smooth domains in {${\bf C}$} by their biholomorphic self-maps", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "8", pages = "555--557", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C35", MRnumber = "84m:30014", MRreviewer = "D. E. Tepper", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hoffman:1983:SDF, author = "Michael J. Hoffman and Richard Katz", title = "The sequence of derivatives of a {$C^{\infty }$} function", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "8", pages = "557--560", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26E05 (26E10)", MRnumber = "85c:26013", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bullen:1983:IV, author = "P. S. Bullen", title = "An inequality for variations", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "8", pages = "560--560", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A45", MRnumber = "85g:26007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kominek:1983:MCS, author = "Z. Kominek", title = "Measure, category, and the sums of sets", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "8", pages = "561--562", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05", MRnumber = "85d:28002", MRreviewer = "J. C. Oxtoby", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Francis:1983:DSS, author = "George K. Francis", title = "Drawing {Seifert} surfaces that fiber the figure-$8$ knot complement in {$S^{3}$} over {$S^{1}$}", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "9", pages = "589--599", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57M25", MRnumber = "85h:57005", MRreviewer = "W. D. Neumann", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Howe:1983:VBL, author = "Roger Howe", title = "Very basic {Lie} theory", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "9", pages = "600--623", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A05 (17B60 22E15)", MRnumber = "86m:00001a", MRreviewer = "K. H. Hofmann", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Althoen:1983:WDA, author = "Steven C. Althoen and Lawrence D. Kugler", title = "When is {${\bf R}^{2}$} a division algebra", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "9", pages = "625--635", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "17A35 (16A39)", MRnumber = "85c:17002", MRreviewer = "J. L. Zemmer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ewell:1983:SPF, author = "John A. Ewell", title = "A simple proof of {Fermat}'s two-square theorem", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "9", pages = "635--637", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "10J05 (10J20)", MRnumber = "84m:10041", MRreviewer = "John T. Hardy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ladas:1983:NSC, author = "G. Ladas and Y. G. Sficas and I. P. Stavroulakis", title = "Necessary and sufficient conditions for oscillations", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "9", pages = "637--640", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34K15 (34C10)", MRnumber = "84j:34082", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Szulkin:1983:UDC, author = "Andrzej Szulkin", title = "{${\bf R}^{3}$} is the union of disjoint circles", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "9", pages = "640--641", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A45", MRnumber = "84m:52022", MRreviewer = "A. Florian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Thompson:1983:AVR, author = "Robert C. Thompson", title = "Author vs. referee: a case history for middle level mathematicians", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "10", pages = "661--668", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A80 (00A99 15A36)", MRnumber = "85c:01072", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Spencer:1983:LNU, author = "Joel Spencer", title = "Large numbers and unprovable theorems", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "10", pages = "669--675", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03F30 (03C62 03E10 03H15 05A05)", MRnumber = "85a:03073", MRreviewer = "A. M. Dawes", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Mays:1983:FWP, author = "Michael E. Mays", title = "Functions which parametrize means", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "10", pages = "677--683", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24", MRnumber = "85b:26008", MRreviewer = "G. A. Heuer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Falconer:1983:ARS, author = "K. J. Falconer", title = "Applications of a result on spherical integration to the theory of convex sets", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "10", pages = "690--693", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A20 (43A90 52A22)", MRnumber = "85f:52012", MRreviewer = "V. P. Yashnikov", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Higgs:1983:IDS, author = "Denis Higgs", title = "Iterating the derived set function", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "10", pages = "693--697", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A03 (54A20)", MRnumber = "85b:26001", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Massey:1983:CPV, author = "W. S. Massey", title = "Cross products of vectors in higher-dimensional {Euclidean} spaces", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "10", pages = "697--701", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A72 (51N20)", MRnumber = "85b:15038", MRreviewer = "B. Reichstein", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Johnston:1983:CSC, author = "Elgin Johnston", title = "A {``counterexample''} for the {Schwarz-Christoffel} transform", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "10", pages = "701--703", month = "????", year = "1983", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C20 (30-01)", MRnumber = "85f:30009", MRreviewer = "D. E. Tepper", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Saari:1984:NMC, author = "Donald G. Saari and John B. Urenko", title = "{Newton}'s method, circle maps, and chaotic motion", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "1", pages = "3--17", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58F12 (58C15 58F15 65H05)", MRnumber = "85a:58060", MRreviewer = "Dietrich Flockerzi", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Cosnard:1985:LEN}.", acknowledgement = ack-nhfb, } @Article{Diamond:1984:RAS, author = "Harvey Diamond and Gregory Gell{\`e}s", title = "Relations among some classes of subsets of {${\bf R}$}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "1", pages = "19--22", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05", MRnumber = "85a:28001", MRreviewer = "J. C. Oxtoby", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Burckel:1984:BSW, author = "R. B. Burckel", title = "{Bishop}'s {Stone-Weierstrass} theorem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "1", pages = "22--32", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46J10 (46E25)", MRnumber = "85i:46071", MRreviewer = "Denny Gulick", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Jackson:1984:CC, author = "Brad Jackson and Gerhard Ringel", title = "Colorings of circles", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "1", pages = "42--49", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C15", MRnumber = "729 191", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fuster:1984:GSI, author = "R. Fuster and A. Marquina", title = "Geometric series in incomplete normed algebras", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "1", pages = "49--51", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46H05", MRnumber = "85g:46059", MRreviewer = "Marianne Freundlich Smith", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{MacCluer:1984:SPF, author = "C. R. MacCluer", title = "A simple proof of the fundamental theorem on finite abelian groups", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "1", pages = "52--52", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20K01", MRnumber = "85b:20073", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kupka:1984:MUU, author = "Joseph Kupka and Karel Prikry", title = "The measurability of uncountable unions", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "85--97", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28C15 (04A20 28A51 28B20 28C05)", MRnumber = "85g:28015", MRreviewer = "Jan Pachl", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Shapiro:1984:PPP, author = "Daniel B. Shapiro", title = "A periodicity problem in plane geometry", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "97--108", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05 (52A37)", MRnumber = "85e:51028", MRreviewer = "Barry Monson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Phillips:1984:ACP, author = "George M. Phillips", title = "{Archimedes} and the complex plane", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "108--114", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05 (30E10)", MRnumber = "85h:40003", MRreviewer = "G. Ramharter", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Laird:1984:SCP, author = "P. G. Laird and R. McCann", title = "On some characterizations of polynomials", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "114--116", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26C99", MRnumber = "85e:26016", MRreviewer = "Thomas McCoy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brown:1984:PAD, author = "Timothy C. Brown", title = "{Poisson} approximations and the definition of the {Poisson} process", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "116--123", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60G55", MRnumber = "85d:60091", MRreviewer = "Olav Kallenberg", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{MacDonnell:1984:RMB, author = "Joseph MacDonnell", title = "A ruled {Moebius} band which self-intersects in a straight line", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "125--127", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51N20", MRnumber = "729 553", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Miller:1984:AC, author = "Thomas L. Miller and Robert F. Olin", title = "Analytic curves", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "127--130", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30-01 (30C25)", MRnumber = "85e:30001", MRreviewer = "D. E. Tepper", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Johnson:1984:UFT, author = "G. W. Johnson", title = "An unsymmetric {Fubini} theorem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "131--133", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A35 (28A50)", MRnumber = "85f:28004", MRreviewer = "Jan Pachl", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gallian:1984:APS, author = "Joseph A. Gallian", title = "Another proof that {$A_{5}$} is simple", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "134--135", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20D06 (20D20)", MRnumber = "85h:20020", MRreviewer = "Gerard M. Enright", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Teo:1985:LEA,Gallian:1985:LEA}.", acknowledgement = ack-nhfb, } @Article{Li:1984:GPL, author = "Hung C. Li", title = "A generalized problem of least squares", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "2", pages = "135--137", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "62J05", MRnumber = "85c:62165", MRreviewer = "J. L. Mallet", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Christen:1984:DDC, author = "Claude Christen and Frank K. Hwang", title = "Detection of a defective coin with partial weight information", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "3", pages = "173--179", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A99", MRnumber = "85b:05026", MRreviewer = "B. Manvel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Boyer:1984:PCR, author = "Robert S. Boyer and J. Strother Moore", title = "Proof checking the {RSA} public key encryption algorithm", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "3", pages = "181--189", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68P25 (68T15 94A60)", MRnumber = "85k:68024", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Simoson:1984:THB, author = "Andrew Simoson", title = "On two halves being two wholes", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "3", pages = "190--193", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05 (28A12)", MRnumber = "85g:28003", MRreviewer = "George Bachman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Greenberg:1984:NCH, author = "Marvin Jay Greenberg", title = "Note on the {Cayley-Hamilton} theorem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "3", pages = "193--195", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A24", MRnumber = "85c:15023", MRreviewer = "M. Pearl", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See correction \cite{Greenberg:1985:CNC}.", acknowledgement = ack-nhfb, } @Article{Pecaric:1984:SPJ, author = "Josip E. Pe{\v{c}}ari{\'c}", title = "A simple proof of the {Jensen-Steffensen} inequality", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "3", pages = "195--196", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D15 (26A51)", MRnumber = "85a:26031", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gallian:1984:NH, author = "Joseph A. Gallian and James Van Buskirk", title = "The number of homomorphisms from {$Z_{m}$} into {$Z_{n}$}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "3", pages = "196--197", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "13M05 (11A99 11T99 20D60)", MRnumber = "85h:13019", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilker:1984:MEE, author = "J. B. Wilker", title = "{M{\"o}bius} equivalence and {Euclidean} symmetry", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "4", pages = "225--247", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51B10 (20B25 20B27)", MRnumber = "85b:51007", MRreviewer = "J. Yaqub", bibdate = "Sat Dec 06 16:23:27 1997", acknowledgement = ack-nhfb, } @Article{Howe:1984:CVB, author = "Roger Howe", title = "Correction to: {``Very basic Lie theory''}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "4", pages = "247--247", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A05 (17B60 22E15)", MRnumber = "86m:00001b", MRreviewer = "K. H. Hofmann", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Levasseur:1984:PPW, author = "Kenneth M. Levasseur", title = "A probabilistic proof of the {Weierstrass} approximation theorem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "4", pages = "249--250", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A10", MRnumber = "85h:41016", MRreviewer = "Martin E. Price", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Levasseur:1985:LEP}.", acknowledgement = ack-nhfb, } @Article{Stob:1984:SMG, author = "Michael Stob", title = "A supplement to: {{``A mathematician's guide to popular sports''} [Amer. Math. Monthly {\bf 90} (1983), no. 4, 246--266, MR 85i:05122a] by T. Jech}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "5", pages = "277--282", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C20 (00A69 62J15 90D35)", MRnumber = "85i:05122b", MRreviewer = "K. B. Reid", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Jech:1983:RIT}.", acknowledgement = ack-nhfb, } @Article{Eisemann:1984:NTA, author = "Kurt Eisemann", title = "Number-theoretic analysis and extensions of {``the most complicated and fantastic card trick ever invented''}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "5", pages = "284--289", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A08", MRnumber = "86b:00002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Guinand:1984:ELT, author = "Andrew P. Guinand", title = "{Euler} lines, tritangent centers, and their triangles", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "5", pages = "290--300", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15 (51M05)", MRnumber = "85k:51029", MRreviewer = "J. B. Wilker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rudin:1984:IFP, author = "Walter Rudin", title = "The inner function problem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "5", pages = "301--302", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "32A40 (01A65)", MRnumber = "85e:32009", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pourahmadi:1984:TES, author = "Mohsen Pourahmadi", title = "Taylor expansion of ${\rm exp}(\sum ^{\infty }_{k=0}a_{k}z^{k})$ and some applications", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "5", pages = "303--307", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30B10", MRnumber = "85e:30003", MRreviewer = "Wolfgang Luh", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cater:1984:VWN, author = "F. S. Cater", title = "On {van der Waerden}'s nowhere differentiable function", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "5", pages = "307--308", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A27", MRnumber = "85j:26009", MRreviewer = "Michael Evans", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dixon:1984:FPT, author = "John D. Dixon", title = "Factorization and primality tests", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "6", pages = "333--352", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11Y05 (11Y11)", MRnumber = "87c:11121a", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Phillips:1984:ASF, author = "G. M. Phillips", title = "{Aitken} sequences and {Fibonacci} numbers", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "6", pages = "354--357", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65B99 (11B39)", MRnumber = "85h:65013", MRreviewer = "Claude Brezinski", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Magyar:1984:RQ, author = "Zolt{\'a}n Magyar", title = "A recursion on quadruples", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "6", pages = "360--362", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A99", MRnumber = "86c:05030", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Barany:1984:HTV, author = "I. B{\'a}r{\'a}ny and M. Katchalski and J{\'a}nos Pach", title = "Helly's theorem with volumes", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "6", pages = "362--365", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A35", MRnumber = "86e:52010", MRreviewer = "Marilyn Breen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Stroeker:1984:HSD, author = "R. J. Stroeker", title = "How to solve a {Diophantine} equation --- a number-theoretic excursion", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "385--392", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D25", MRnumber = "85i:11023", MRreviewer = "David Lee Hilliker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Burrows:1984:SPI, author = "B. L. Burrows and R. F. Talbot", title = "Sums of powers of integers", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "394--403", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A99 (11J06)", MRnumber = "85j:11018", MRreviewer = "Lawrence Somer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Baxley:1984:LMP, author = "John V. Baxley and John C. Moorhouse", title = "Lagrange multiplier problems in economics", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "404--412", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90A10 (90A16)", MRnumber = "85k:90020", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Avis:1984:NFN, author = "David Avis", title = "The number of furthest neighbour pairs of a finite planar set", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "417--420", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A37 (05B30)", MRnumber = "85j:52012", MRreviewer = "G. D. Chakerian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lewis:1984:CPT, author = "R. P. Lewis", title = "A combinatorial proof of the triple product identity", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "420--423", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11P80 (05A19)", MRnumber = "85j:11127", MRreviewer = "J. B. Roberts", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schattschneider:1984:TG, author = "Doris J. Schattschneider", title = "The taxicab group", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "423--428", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51F99 (51B20 51N25)", MRnumber = "86b:51027", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ball:1984:ACP, author = "B. J. Ball", title = "Arcwise connectedness and the persistence of errors", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "431--433", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54-01 (00A05 00A25)", MRnumber = "86e:54001", MRreviewer = "Mary Powderly", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Henle:1984:TPI, author = "J. M. Henle", title = "Tangent planes with infinitesimals", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "433--435", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26E35 (03H05)", MRnumber = "86f:26020", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Williams:1984:LEE, author = "Kenneth S. Williams", title = "Letter to the editor: {{``Euler's integrals''} [Amer. Math. Monthly {\bf 90} (1983), no. 7, 464--466, MR 84k:26012], by H. Haruki and S. Haruki}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "7", pages = "455--455", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A99", MRnumber = "85k:26017", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Haruki:1983:EI}.", acknowledgement = ack-nhfb, } @Article{Knuth:1984:TPP, author = "Donald E. Knuth", title = "The toilet paper problem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "465--470", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (05A10)", MRnumber = "86a:05006", MRreviewer = "M. S. Cheema", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Boolos:1984:LP, author = "George Boolos", title = "The logic of provability", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "470--480", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03B45", MRnumber = "85m:03010", MRreviewer = "Franco Montagna", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Scherer:1984:SNT, author = "Karl Scherer", title = "Some new types of closure properties in the plane", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "480--487", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05 (52A10)", MRnumber = "86b:51032", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Henry:1984:API, author = "Myron S. Henry", title = "Approximation by polynomials: interpolation and optimal nodes", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "497--499", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A10", MRnumber = "761 404", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Spigler:1984:DLM, author = "R. Spigler", title = "Double limits and matched asymptotic expansions", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "501--505", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A60 (34E15)", MRnumber = "86a:41031", MRreviewer = "R. E. O'Malley, Jr.", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Tsing:1984:IDB, author = "Nam Kiu Tsing", title = "Infinite-dimensional {Banach} spaces must have uncountable basis---an elementary proof", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "505--506", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46B20", MRnumber = "85m:46021", MRreviewer = "M. S. Ramanujan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Feintuch:1984:ME, author = "Avraham Feintuch and Matatyahu Rubin", title = "The matrix equation {$AX-XB=C$}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "506--507", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A24 (47A62)", MRnumber = "86h:15010", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Morsche:1984:DLP, author = "H. G. {ter Morsche} and G. W. Veltkamp", title = "A discrete {Landau} problem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "8", pages = "508--509", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A12 (41A17)", MRnumber = "86c:26004", MRreviewer = "R. C. Buck", bibdate = "Sat Dec 06 22:30:59 1997", acknowledgement = ack-nhfb, } @Article{Weil:1984:E, author = "Andr{\'e} Weil", title = "Euler", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "537--542", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70 (01A50)", MRnumber = "86j:01050", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Birman:1984:TLG, author = "Graciela S. Birman and Katsumi Nomizu", title = "Trigonometry in {Lorentzian} geometry", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "543--549", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51B20 (51F99 83A05)", MRnumber = "86a:51012", MRreviewer = "J. A. Lester", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Horst:1984:RSL, author = "H. J. {ter Horst}", title = "{Riemann-Stieltjes} and {Lebesgue-Stieltjes} integrability", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "551--559", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A42", MRnumber = "86d:26017", MRreviewer = "S. N. Mukhopadhyay", bibdate = "Sat Dec 06 22:31:11 1997", acknowledgement = ack-nhfb, } @Article{Morris:1984:EPH, author = "Sidney A. Morris", title = "An elementary proof that the {Hilbert} cube is compact", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "563--564", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54D30 (57N20)", MRnumber = "86k:54041", MRreviewer = "Richard M. Schori", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cater:1984:PUI, author = "F. S. Cater", title = "A partition of the unit interval", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "564--566", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05", MRnumber = "85m:28003", MRreviewer = "J. C. Oxtoby", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wolfram:1984:GBC, author = "Stephen Wolfram", title = "Geometry of binomial coefficients", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "566--571", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A10", MRnumber = "86d:05007", MRreviewer = "Louis H. Kauffman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Richards:1984:RNC, author = "I. M. Richards", title = "A remark on the number of cyclic subgroups of a finite group", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "571--572", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20E07 (20D60)", MRnumber = "85k:20081", MRreviewer = "W. E. Deskins", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Koch:1984:MI, author = "Richard Koch", title = "Matrix invariants", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "573--575", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A15", MRnumber = "86g:15005", MRreviewer = "M. Pearl", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Taylor:1984:LMR, author = "Angus E. Taylor", title = "A life in mathematics remembered", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "605--618", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70", MRnumber = "86d:01035", MRreviewer = "R. B. Burckel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cater:1984:DNA, author = "F. S. Cater", title = "Differentiable, nowhere analytic functions", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "618--624", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26E05", MRnumber = "86b:26034", MRreviewer = "William Eames", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schechter:1984:SDS, author = "Murray Schechter", title = "Summation of divergent series by computer", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "629--632", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65B10", MRnumber = "86d:65016", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chang:1984:BPS, author = "Geng Zhe Chang", title = "Bernstein polynomials via the shifting operator", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "634--638", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A10 (68U05)", MRnumber = "86e:41008", MRreviewer = "M. Lachance", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Solomon:1984:TCL, author = "Frederick Solomon", title = "A theorem concerning {Lorentz} transformations", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "638--641", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A90 (83A05)", MRnumber = "86b:15030", MRreviewer = "Mary L. Boas", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Maehara:1984:JCT, author = "Ryuji Maehara", title = "The {Jordan} curve theorem via the {Brouwer} fixed point theorem", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "641--643", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "55M25 (55-01)", MRnumber = "86c:55004", MRreviewer = "Ronald Brown", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gerber:1984:WFR, author = "Hans U. Gerber", title = "{Wronski}'s formula and the resultant of two polynomials", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "644--646", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05 (11R09)", MRnumber = "86d:12006", MRreviewer = "N. Sankaran", bibdate = "Sat Dec 06 17:16:38 1997", acknowledgement = ack-nhfb, } @Article{Johnson:1984:EAE, author = "Bruce R. Johnson", title = "An elementary approach for extending {Poisson} processes to the nonstationary case", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "10", pages = "646--648", month = "????", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60-01", MRnumber = "86b:60002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1985:PCS, author = "Donald E. Knuth", title = "Problem {E3106}, {A} curious sum for {Euler}'s totient function", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "??", pages = "590", year = "1985", ISSN = "0002-9890", bibdate = "Fri Aug 12 23:24:40 1994", } @Article{Lehmer:1985:SSP, author = "Emma Lehmer", title = "On square-separable primes", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "??", pages = "719--720", month = "????", year = "1985", CODEN = "CACMA2", ISSN = "0001-0782", bibdate = "Sat Oct 31 14:55:31 1998", acknowledgement = ack-nhfb, } @Article{Lagarias:1985:PG, author = "Jeffrey C. Lagarias", title = "The $3x+1$ problem and its generalizations", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "1", pages = "3--23", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11K55 (11K31)", MRnumber = "86i:11043", MRreviewer = "A. D. Pollington", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fisher:1985:PP, author = "J. Chris Fisher and D. Ruoff and J. Shilleto", title = "Perpendicular polygons", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "1", pages = "23--37", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M25", MRnumber = "86e:51031", MRreviewer = "Barry Monson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bardsley:1985:CPS, author = "W. G. Bardsley and R. M. W. Wood", title = "Critical points and sigmoidicity of positive rational functions", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "1", pages = "37--48", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58E05 (26C15 92A40)", MRnumber = "87h:58030", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Olkin:1985:PPT, author = "Ingram Olkin", title = "A probabilistic proof of a theorem of {Schur}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "1", pages = "50--51", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A48 (15A63 60E99)", MRnumber = "86h:15017", MRreviewer = "A. N. Philippou", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Reiner:1985:EMT, author = "David L. Reiner", title = "Enumeration in music theory", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "1", pages = "51--54", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (00A69 05A05 20B30)", MRnumber = "86c:05021", MRreviewer = "M. S. Cheema", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bressoud:1985:BEP, author = "David M. Bressoud and Doron Zeilberger", title = "Bijecting {Euler}'s partitions-recurrence", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "1", pages = "54--55", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A17", MRnumber = "87b:05019", MRreviewer = "M. Livingston", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wos:1985:AR, author = "L. Wos", title = "Automated reasoning", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "85--92", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68T15 (00A25 03B35)", MRnumber = "87h:68136", MRreviewer = "Ranan B. Banerji", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Abian:1985:SIS, author = "Alexander Abian", title = "Solvability of infinite systems of polynomial equations over the field of complex numbers", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "94--98", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05", MRnumber = "86c:12004", bibdate = "Thu Apr 29 15:56:00 1999", note = "See \cite{Biler:1985:DTT} and letter to the editor \cite{Anderson:1986:LES}.", acknowledgement = ack-nhfb, } @Article{Pittenger:1985:LMV, author = "A. O. Pittenger", title = "The logarithmic mean in $n$ variables", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "99--104", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D15 (26D20)", MRnumber = "86h:26012", MRreviewer = "Kenneth B. Stolarsky", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fraenkel:1985:SN, author = "Aviezri S. Fraenkel", title = "Systems of numeration", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "105--114", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B37", MRnumber = "86d:11016", MRreviewer = "Torleiv Kl{\o}ve", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Walter:1985:EPC, author = "Wolfgang Walter", title = "An elementary proof of the {Cauchy-Kowalevsky} theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "115--126", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "35A10", MRnumber = "87h:35012", MRreviewer = "S. S. Titov", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Berndt:1985:GFH, author = "Bruce C. Berndt", title = "The gamma function and the {Hurwitz} zeta-function", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "126--130", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A15", MRnumber = "86f:33002", MRreviewer = "B. M. Agrawal", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gander:1985:HIM, author = "Walter Gander", title = "On {Halley}'s iteration method", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "131--134", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65H05 (65-01)", MRnumber = "86f:65094", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chicone:1985:CCH, author = "Carmen Chicone and N. J. Kalton and Ira J. Papick", title = "A converse for the {Cayley-Hamilton} theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "134--136", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A15", MRnumber = "86b:15006", MRreviewer = "Donald W. Robinson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Johnson:1985:ECW, author = "Jerry Johnson", title = "An elementary characterization of weak convergence of measures", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "136--137", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A33 (60B10)", MRnumber = "86d:28009", MRreviewer = "H. H. McFaden", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Diamond:1985:ISC, author = "Harvey Diamond and Gregory Gelles", title = "Interlaced second category sets", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "138--140", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05 (54H05)", MRnumber = "86i:28002", MRreviewer = "J. D. Knowles", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Snapper:1985:IEC, author = "Ernst Snapper", title = "An ingrained error concerning resultants", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "141--141", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05", MRnumber = "86d:12007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cosnard:1985:LEN, author = "M. Cosnard and C. Masse", title = "Letter to the editor: {{``Newton's method, circle maps, and chaotic motion''} [Amer. Math. Monthly {\bf 91} (1984), no. 1, 3--17, MR 85a:58060] by D. Saari and J. Urenko}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "157--158", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65H05 (58F13)", MRnumber = "777 564", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Saari:1984:NMC}.", acknowledgement = ack-nhfb, } @Article{Roselle:1985:ADS, author = "David Roselle", title = "Award for distinguished service to {Professor Everett Pitcher}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "169--170", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70", MRnumber = "786 340", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1985:ATM, author = "Donald E. Knuth", title = "Algorithmic thinking and mathematical thinking", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "170--181", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A25 (68-00)", MRnumber = "86j:00018", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "This is a revised version of \cite{Knuth:1981:AMM}.", acknowledgement = ack-nhfb, } @Article{Britt:1985:ALD, author = "Jonathan Britt", title = "The anatomy of low-dimensional stable singularities", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "183--201", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58C27", MRnumber = "86h:58018", MRreviewer = "Jean-Jacques Gervais", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Carvalho:1985:CML, author = "F. J. {Craveiro de Carvalho}", title = "Characterizing maximally looped closed curves", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "202--207", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57R42 (57N05)", MRnumber = "86g:57025", MRreviewer = "Hans G. Bothe", bibdate = "Sat Dec 06 23:53:23 1997", acknowledgement = ack-nhfb, } @Article{Leach:1985:GAC, author = "Ronald J. Leach", title = "On {Gelbaum}'s algorithm for computing the minimal polynomial of a matrix", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "208--209", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65F30 (15A21)", MRnumber = "86g:65083", MRreviewer = "Lajos L{\'a}szl{\'o}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Drobot:1985:CFD, author = "Vladimir Drobot and Micha\l Morayne", title = "Continuous functions with a dense set of proper local maxima", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "209--211", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A15", MRnumber = "86e:26003", MRreviewer = "A. M. Bruckner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Harary:1985:DGC, author = "Frank Harary and Robert W. Robinson", title = "The diameter of a graph and its complement", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "211--212", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C99 (05C70)", MRnumber = "87j:05139a", MRreviewer = "Henry Martyn Mulder", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Straffin:1986:LED}.", acknowledgement = ack-nhfb, } @Article{Levasseur:1985:LEP, author = "Kenneth M. Levasseur", title = "Letter to the editor: {{``A probabilistic proof of the Weierstrass approximation theorem''} [Amer. Math. Monthly {\bf 91} (1984), no. 4, 249--250, MR 85h:41016]}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "227--227", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A10", MRnumber = "86e:41012", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Levasseur:1984:PPW}.", acknowledgement = ack-nhfb, } @Article{Akin:1985:BS, author = "Ethan Akin and Morton Davis", title = "Bulgarian solitaire", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "237--250", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A17 (90D99)", MRnumber = "86m:05014", MRreviewer = "A. Pultr", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilf:1985:SEC, author = "Herbert S. Wilf", title = "Some examples of combinatorial averaging", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "250--261", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (05B20)", MRnumber = "87b:05014", MRreviewer = "M. Livingston", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gale:1985:MMS, author = "David Gale and Marilda Sotomayor", title = "{Ms. Machiavelli} and the stable matching problem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "261--268", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D10 (90D12 90D40 90D45)", MRnumber = "87g:90133", MRreviewer = "G. A. Heuer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Waterhouse:1985:WOE, author = "William C. Waterhouse", title = "When one equation solves them all", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "270--273", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12F10", MRnumber = "86j:12006", MRreviewer = "Kurt Girstmair", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Papp:1985:AFE, author = "F. J. Papp", title = "The {d'Alembert} functional equation", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "273--275", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "39-01 (39B05)", MRnumber = "86g:39003", MRreviewer = "F. W. Carroll", bibdate = "Sat Dec 06 16:22:31 1997", acknowledgement = ack-nhfb, } @Article{Arnold:1985:DSA, author = "L. K. Arnold and S. J. Benkoski and B. J. McCabe", title = "The discriminator (a simple application of {Bertrand}'s postulate)", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "275--277", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A07 (11A41)", MRnumber = "86g:11003", MRreviewer = "Graham Lord", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lipschutz:1985:NGM, author = "Seymour Lipschutz", title = "Notes on graphs and matrix inequalities", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "277--280", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C50 (15A45)", MRnumber = "87b:05095", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Teo:1985:LEA, author = "K. L. Teo and M. D. Hendy", title = "Letter to the editor: {{``Another proof that {$A_5$} is simple''} [Amer. Math. Monthly {\bf 91} (1984), no. 2, 134--135, MR 85h:20020] by J. A. Gallian}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "303--303", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20D06 (20D20)", MRnumber = "86f:20016a", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Gallian:1984:APS,Gallian:1985:LEA}.", acknowledgement = ack-nhfb, } @Article{Gallian:1985:LEA, author = "Joseph A. Gallian", title = "Letter to the editor: {{``Another proof that {$A_5$} is simple''} [Amer. Math. Monthly {\bf 91} (1984), no. 2, 134--135, MR 85h:20020]}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "4", pages = "303--304", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20D06 (20D20)", MRnumber = "86f:20016b", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Gallian:1984:APS,Teo:1985:LEA}.", acknowledgement = ack-nhfb, } @Article{Bloore:1985:AHP, author = "F. J. Bloore and H. R. Morton", title = "Advice on hanging pictures", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "309--321", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58C25 (51N99 58C28)", MRnumber = "87e:58026", MRreviewer = "James Callahan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rootselaar:1985:HSS, author = "B. {van Rootselaar}", title = "How to solve the system {$x'=Ax$}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "321--327", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34A30 (15A21)", MRnumber = "86d:34015", bibdate = "Sat Dec 06 22:29:27 1997", acknowledgement = ack-nhfb, } @Article{Stone:1985:TPS, author = "A. H. Stone", title = "Trees and power-sums", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "328--331", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A19 (05C05 11P80)", MRnumber = "87e:05016a", MRreviewer = "Konrad Engel", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Gessel:1986:LET}.", acknowledgement = ack-nhfb, } @Article{Osserman:1985:FMV, author = "Robert Osserman", title = "The four-or-more vertex theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "332--337", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A04 (51L15 53C75)", MRnumber = "87e:53001", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Leader:1985:IEP, author = "Solomon Leader", title = "The inclusion-exclusion probability formulas by {Taylor}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "343--345", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60C05", MRnumber = "87d:60015", MRreviewer = "Frank K. Hwang", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Charnow:1985:TLO, author = "A. Charnow and E. Charnow", title = "On transcendental linear operators", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "345--347", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A04 (15A03 47A60)", MRnumber = "86e:15004", MRreviewer = "Shao Kuan Li", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Biler:1985:DTT, author = "Piotr Biler", title = "{Dini} type theorems on positive series", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "347--349", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05", MRnumber = "86m:40001", MRreviewer = "Shri Nivas Bhatt", bibdate = "Thu Apr 29 15:58:47 1999", note = "See letters to the editor \cite{Abian:1985:SIS,Pelling:1986:LED}.", acknowledgement = ack-nhfb, } @Article{Burgess:1985:CS, author = "C. E. Burgess", title = "Classification of surfaces", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "349--354", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57N05", MRnumber = "87a:57015", MRreviewer = "Jo{\v{z}}e Vrabec", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kimelfeld:1985:ICM, author = "Boris Kimelfeld", title = "An inequality concerning minors of a semidefinite matrix", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "354--355", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A45 (15A15)", MRnumber = "87b:15029", MRreviewer = "B. Levinger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chernoff:1985:LEP, author = "Paul R. Chernoff", title = "Letter to the editor: {{``Pointwise convergence of Fourier series''} [Amer. Math. Monthly {\bf 87} (1980), no. 5, 399--400, MR 81b:42028]}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "5", pages = "373--374", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "42A20", MRnumber = "87g:42012", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Chernoff:1980:PCF}.", acknowledgement = ack-nhfb, } @Article{Larsen:1985:RRG, author = "Mogens Esrom Larsen", title = "Rubik's revenge: the group theoretical solution", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "6", pages = "381--390", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20B25", MRnumber = "87h:20008", MRreviewer = "D. W. Erbach", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{MacGregor:1985:LMG, author = "T. H. MacGregor", title = "Linear methods in geometric function theory", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "6", pages = "392--406", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C45 (30C55 46E99)", MRnumber = "86h:30019", MRreviewer = "A. W. Goodman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cull:1985:THA, author = "Paul Cull and E. F. {Ecklund, Jr.}", title = "Towers of {Hanoi} and analysis of algorithms", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "6", pages = "407--420", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68Q20 (68Q25)", MRnumber = "87a:68069", MRreviewer = "T. R. S. Walsh", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Connor:1985:SPS, author = "Jeff Connor", title = "A short proof of {Steinhaus}' theorem on summability", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "6", pages = "420--421", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40C05", MRnumber = "86h:40003", MRreviewer = "S. M. Shah", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Thomas:1985:CCN, author = "Robin Thomas", title = "A combinatorial construction of a nonmeasurable set", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "6", pages = "421--422", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A05", MRnumber = "86g:28003", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bankston:1985:TPE, author = "Paul Bankston and Ralph Fox", title = "Topological partitions of {Euclidean} space by spheres", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "6", pages = "423--424", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M20", MRnumber = "86k:51016", MRreviewer = "Stan Wagon", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dixon:1985:LEF, author = "John D. Dixon", title = "Letter to the editor: {``Factorization and primality tests''}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "6", pages = "444--444", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11Y05 (11Y11)", MRnumber = "87c:11121b", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lehmer:1985:ISI, author = "D. H. Lehmer", title = "Interesting series involving the central binomial coefficient", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "449--457", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05 (05A10 11J72)", MRnumber = "87c:40002", MRreviewer = "P. L. Cijsouw", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{McKee:1985:LGT, author = "T. A. McKee", title = "The logic of graph-theoretic duality", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "457--464", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C05 (94C15)", MRnumber = "86k:05040", MRreviewer = "John S. Maybee", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rogalski:1985:IAS, author = "Marc Rogalski and Jean Saint-Raymond", title = "Inequalities about symmetric compact convex sets in the plane", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "466--480", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40 (52A10)", MRnumber = "86k:52013", MRreviewer = "K. J. Falconer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wallen:1985:MIP, author = "Lawrence J. Wallen", title = "Modified iteration and probability", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "481--485", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A18 (60-01)", MRnumber = "86j:26003", MRreviewer = "Dorin Andrica", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Villani:1985:ANI, author = "Alfonso Villani", title = "Another note on the inclusion {$L^p(\mu)\subset L^q(\mu)$}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "485--487", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46E30", MRnumber = "86k:46044", MRreviewer = "R. Rao Chivukula", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chaves:1985:SWA, author = "M. Arala Chaves", title = "Spaces where all continuity is uniform", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "487--489", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54E35 (54C05)", MRnumber = "87c:54038", MRreviewer = "Grattan P. Murphy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rudin:1985:URI, author = "Walter Rudin", title = "Unique right inverses are two-sided", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "489--490", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16-01 (46-01)", MRnumber = "801 223", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Blom:1985:SPE, author = "Gunnar Blom", title = "A simple property of exchangeable random variables", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "491--492", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60G09", MRnumber = "87i:60044", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lord:1985:SCF, author = "N. J. Lord", title = "Simultaneous complements in finite-dimensional vector spaces", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "492--493", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A03", MRnumber = "87b:15003", MRreviewer = "B. Levinger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pereira:1985:SPC, author = "N. Costa Pereira", title = "A short proof of {Chebyshev}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "494--495", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11N05", MRnumber = "87a:11084", MRreviewer = "Julia Mueller", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chang:1985:PMI, author = "Geng Zhe Chang", title = "Planar metric inequalities derived from the {Vandermonde} determinant", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "495--499", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40 (26D15 51M20)", MRnumber = "87b:52022", MRreviewer = "A. Florian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Paul:1985:CPP, author = "Jerome L. Paul", title = "Combinatorial proofs of {Pascal}'s formula for sums of powers of the integers", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "499--501", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A10 (05A15)", MRnumber = "87d:05013", MRreviewer = "M. Livingston", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Baker:1985:NCI, author = "I. N. Baker and P. J. Rippon", title = "A note on complex iteration", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "501--504", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D05", MRnumber = "86m:30024", MRreviewer = "Carl C. Cowen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Page:1985:CCL, author = "Warren Page", title = "Compactness and closedness in locally compact {Hausdorff} spaces", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "504--506", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54-01 (54D45)", MRnumber = "86k:54001", MRreviewer = "E. Halfar", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ortega:1985:CMI, author = "James M. Ortega", title = "Comment on: {{``Matrices with integer entries and integer eigenvalues''} by J.-C. Renaud [Amer. Math. Monthly {\bf 90} (1983), no. 3, 202--203, MR 84c:15024 ] and {``Generation of test matrices by similarity transformations''} by Ortega [Comm. ACM {\bf 7} (1964), 377--378, MR {\bf 29} \#5375]}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "7", pages = "526--526", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A36 (15A18)", MRnumber = "86k:15012", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Ortega:1964:GTM,Renaud:1983:MIE}.", acknowledgement = ack-nhfb, } @Article{Chan:1985:HMI, author = "N. N. Chan and Man Kam Kwong", title = "{Hermitian} matrix inequalities and a conjecture", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "533--541", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A45", MRnumber = "87d:15011", MRreviewer = "R. C. Thompson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dawson:1985:MS, author = "R. J. MacG. Dawson", title = "Monostatic simplexes", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "541--546", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A25", MRnumber = "86m:52007", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Veldkamp:1985:IPP, author = "G. R. Veldkamp", title = "The isoperimetric point and the point(s) of equal detour in a triangle", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "546--558", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05 (51N20)", MRnumber = "87b:51016", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Isaacs:1985:SPR, author = "I. M. Isaacs", title = "Solution of polynomials by real radicals", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "571--575", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12F05 (51M15)", MRnumber = "87d:12006", MRreviewer = "D. W. Erbach", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gupta:1985:TCW, author = "Haragauri N. Gupta", title = "A theorem in combinatorics and {Wilson}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "575--576", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A10 (11A07)", MRnumber = "87a:05012", MRreviewer = "Calvin T. Long", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Alperin:1985:ABC, author = "Roger C. Alperin", title = "$p$-adic binomial coefficients mod $p$", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "576--578", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A07 (05A10 11B65)", MRnumber = "86m:11001", MRreviewer = "Neal Koblitz", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hirschhorn:1985:SPJ, author = "Michael D. Hirschhorn", title = "A simple proof of {Jacobi}'s two-square theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "579--580", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11P05 (11D85)", MRnumber = "86m:11074", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Minassian:1985:SST, author = "Donald P. Minassian", title = "A simple structure theorem for two-generator, one-relation groups", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "580--583", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20E34 (20F05)", MRnumber = "87c:20057", MRreviewer = "Leo P. Comerford, Jr.", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Greenberg:1985:CNC, author = "Marvin Jay Greenberg", title = "Correction to: {{``Note on the Cayley-Hamilton theorem''} [Amer. Math. Monthly {\bf 91} (1984), no. 3, 193--195, MR 85c:15023]}", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "583--583", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A24", MRnumber = "87a:15020", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Greenberg:1984:NCH}.", acknowledgement = ack-nhfb, } @Article{Varberg:1985:PTR, author = "Dale E. Varberg", title = "Pick's theorem revisited", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "584--587", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A43 (11H06)", MRnumber = "87a:52015", MRreviewer = "J. M. Wills", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wall:1985:USE, author = "Charles R. Wall", title = "Unbounded sequences of {Euler-Dedekind} means", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "587--587", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A25", MRnumber = "812 106", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Turner:1985:RG, author = "Edward C. Turner and Karen F. Gold", title = "Rubik's groups", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "9", pages = "617--629", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20B25", MRnumber = "87f:20011", MRreviewer = "Chris A. Rowley", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Spring:1985:SDT, author = "D. Spring", title = "On the second derivative test for constrained local extrema", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "9", pages = "631--643", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90C30 (26Bxx 49N35)", MRnumber = "1 465 784", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Marden:1985:SRT, author = "Morris Marden", title = "The search for a {Rolle}'s theorem in the complex domain", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "9", pages = "643--650", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C10 (30C15)", MRnumber = "87c:30008", MRreviewer = "George L. Csordas", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hilton:1985:ASA, author = "Peter Hilton", title = "On all sorts of automorphisms", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "9", pages = "650--656", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A24 (15A15 15A33)", MRnumber = "87c:15029", MRreviewer = "William H. Gustafson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Shuchat:1985:GLS, author = "Alan Shuchat", title = "Generalized least squares and eigenvalues", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "9", pages = "656--659", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A18 (62J05 65D10)", MRnumber = "87a:15012", MRreviewer = "Thomas H. Foregger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Owings:1985:CPC, author = "James C. {Owings, Jr.}", title = "A combinatorial proof of a criterion for normality", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "9", pages = "662--663", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20D60 (20-01)", MRnumber = "87d:20034", MRreviewer = "F. P{\'e}rez Monasor", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Giblin:1985:LSP, author = "P. J. Giblin and S. A. Brassett", title = "Local symmetry of plane curves", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "10", pages = "689--707", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A04 (57R45 58C27 92A27)", MRnumber = "87c:53002", MRreviewer = "James Callahan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gerla:1985:GP, author = "G. Gerla and R. Volpe", title = "Geometry without points", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "10", pages = "707--711", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51K05 (51F99)", MRnumber = "87g:51025", MRreviewer = "Grattan P. Murphy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Weaver:1985:CCS, author = "James R. Weaver", title = "Centrosymmetric (cross-symmetric) matrices, their basic properties, eigenvalues, and eigenvectors", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "10", pages = "711--717", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A57 (15A18 15A21)", MRnumber = "87b:15036", MRreviewer = "John Chollet", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Clark:1985:CTC, author = "Dean S. Clark", title = "A combinatorial theorem on circulant matrices", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "10", pages = "725--729", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A99 (05B20)", MRnumber = "87c:05016", MRreviewer = "Mauro Cerasoli", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Penney:1985:MRS, author = "David E. Penney and Carl Pomerance", title = "Multiplicative relations for sums of initial $k$th powers", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "10", pages = "729--731", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A25", MRnumber = "87d:11010", MRreviewer = "Robert Meyer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Grinberg:1985:SHS, author = "Eric L. Grinberg", title = "On the smoothness hypothesis in {Sard}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "10", pages = "733--734", month = "????", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58C25 (58C06)", MRnumber = "87m:58020", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schoenberg:1986:CAR, author = "I. J. Schoenberg", title = "A conjectured analogue of {Rolle}'s theorem for polynomials with real or complex coefficients", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "8--13", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C15", MRnumber = "87d:30010", MRreviewer = "M. Marden", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{DeVilliers:1986:ICL, author = "J. M. {De Villiers} and P. N. Robinson", title = "The interval of convergence and limiting functions of a hyperpower sequence", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "13--23", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A18", MRnumber = "87d:26005", MRreviewer = "Carl C. Cowen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Namias:1986:SDS, author = "Victor Namias", title = "A simple derivation of {Stirling}'s asymptotic series", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "25--29", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A10 (60C05)", MRnumber = "87i:05018", MRreviewer = "Louis Shapiro", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Beutelspacher:1986:CBT, author = "Albrecht Beutelspacher", title = "{$21-6=15$}: a connection between two distinguished geometries", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "29--41", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51E15", MRnumber = "87g:51010", MRreviewer = "Aiden A. Bruen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Krantz:1986:ASS, author = "Steven G. Krantz and T. D. Parsons", title = "Antisocial subcovers of self-centered coverings", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "45--48", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A45", MRnumber = "87g:52027", MRreviewer = "P. L. Walker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kaufman:1986:LCB, author = "Edwin H. {Kaufman, Jr.} and Terry D. Lenker", title = "Linear convergence and the bisection algorithm", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "48--51", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65H05", MRnumber = "87d:65055", MRreviewer = "J. G. Herriot", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Salama:1986:GIE, author = "Ibrahim A. Salama and Lawrence L. Kupper", title = "A geometric interpretation for the {Eulerian} numbers", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "51--52", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (05A19)", MRnumber = "87h:05020", MRreviewer = "Louis Shapiro", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Straffin:1986:LED, author = "Philip D. {Straffin, Jr.}", title = "Letter to the editor: {{``The diameter of a graph and its complement''} {[Amer. Math. Monthly {\bf 92} (1985), no. 3, 211--212, MR 87j:05139a] by F. Harary and R. W. Robinson}}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "1", pages = "76--76", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C99 (05C70)", MRnumber = "87j:05139b", MRreviewer = "Henry Martyn Mulder", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Harary:1985:DGC}.", acknowledgement = ack-nhfb, } @Article{Laforgia:1986:SCS, author = "Andrea Laforgia and Martin E. Muldoon", title = "Some consequences of the {Sturm} comparison theorem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "89--94", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34C10 (01A55 01A60)", MRnumber = "87c:34050", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chance:1986:GDD, author = "William A. Chance", title = "A geometric derivation of the distribution of the correlation coefficient $\vert r\vert $ when $\rho=0$", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "94--98", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "62H10 (62H20)", MRnumber = "87d:62102", MRreviewer = "A. W. Davis", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Allen:1986:POP, author = "Thomas Tracy Allen", title = "{P{\'o}lya}'s orchard problem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "98--104", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A43 (11H99)", MRnumber = "87d:52021", MRreviewer = "G. D. Chakerian", bibdate = "Sat Dec 06 16:30:16 1997", acknowledgement = ack-nhfb, } @Article{Leonard:1986:CRD, author = "Philip A. Leonard", title = "Cyclic relative difference sets", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "106--111", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B10 (11B13)", MRnumber = "87i:05046", MRreviewer = "Edward Spence", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{McCoy:1986:CFX, author = "T. L. McCoy", title = "On {``${\rm cos}\,f(x)=f({\rm sin}\,x)$''}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "111--115", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "39B05 (39B20)", MRnumber = "87m:39008", MRreviewer = "R. A. Rosenbaum", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Robertson:1986:DBN, author = "Jack M. Robertson and Andrew F. Siegel", title = "Designing {Buffon}'s needle for a given crossing distribution", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "116--119", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60D05", MRnumber = "87h:60034", MRreviewer = "Herbert Ziezold", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Searcoid:1986:TEG, author = "M{\'\i}che{\'a}l {\'O} Searc{\'o}id and Desmond MacHale", title = "Two elementary generalisations of {Boolean} rings", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "121--122", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A70", MRnumber = "87g:16055", MRreviewer = "Nai Chang Dong", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Diaconis:1986:EPS, author = "P. Diaconis and D. Freedman", title = "An elementary proof of {Stirling}'s formula", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "123--125", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A15", MRnumber = "87e:33001", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Mattics:1986:BNM, author = "L. E. Mattics and F. W. Dodd", title = "A bound for the number of multiplicative partitions", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "125--126", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A51", MRnumber = "87e:11014", MRreviewer = "Anthony A. Gioia", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cooper:1986:GSP, author = "Curtis Cooper", title = "Geometric series and a probability problem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "2", pages = "126--127", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A25 (60C05)", MRnumber = "87d:40004", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Eidswick:1986:CPW, author = "J. A. Eidswick", title = "Cubelike puzzles --- what are they and how do you solve them", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "157--176", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20E22 (00A08 05C25 20B25)", MRnumber = "88b:20043", MRreviewer = "Herbert Taylor", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schmidt:1986:AAC, author = "E. J. P. Georg Schmidt", title = "An alternative approach to canonical forms of matrices", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "176--184", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21", MRnumber = "87e:15027", MRreviewer = "A. D. Ziebur", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Grabiner:1986:TET, author = "Sandy Grabiner", title = "The {Tietze} extension theorem and the open mapping theorem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "190--191", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54C20 (46A30 47A99 54C99 54D15)", MRnumber = "88a:54034", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Keller:1986:PH, author = "Joseph B. Keller", title = "The probability of heads", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "191--197", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60C05", MRnumber = "87i:60017", MRreviewer = "Endre Cs{\'a}ki", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Parsons:1986:ACR, author = "T. D. Parsons", title = "Ancestors, cardinals, and representatives", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "197--200", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "04-01 (04A20 05A05)", MRnumber = "87g:04001", MRreviewer = "Eduard Fuchs", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lenard:1986:NLT, author = "A. Lenard", title = "A note on {Liouville}'s theorem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "200--201", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D20 (30E20)", MRnumber = "87f:30072", MRreviewer = "D. Mitrovi{\'c}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Eisemann:1986:SDC, author = "Kurt Eisemann", title = "A self-dual card trick based on congruences and $k$-shuffles", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "201--205", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A08 (05A10)", MRnumber = "87k:00005", MRreviewer = "S. Milne", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1986:SPC, author = "Donald E. Knuth", title = "Solution to problem 6480, {A Catalonian} sum", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "220--220", month = mar, year = "1986", ISSN = "0002-9890", bibdate = "Sun Dec 04 12:14:42 1994", } @Article{Ungar:1986:RTC, author = "Peter Ungar", title = "Review of three calculus textbooks", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "3", pages = "221--230", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26-01 (00A25)", MRnumber = "828 330", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Axler:1986:HFC, author = "Sheldon Axler", title = "Harmonic functions from a complex analysis viewpoint", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "246--258", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "31A05 (30C20 31-01)", MRnumber = "88h:31002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cleary:1986:NGN, author = "Joan Cleary and Sidney A. Morris and David Yost", title = "Numerical geometry --- numbers for shapes", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "260--275", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51K05 (60D05)", MRnumber = "87h:51043", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Small:1986:STS, author = "Charles Small", title = "Sums of three squares and levels of quadratic number fields", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "276--279", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11R11 (11E12 11E25)", MRnumber = "87h:11108", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lion:1986:SPD, author = "Georges A. Lion", title = "A simple proof of the {Dirichlet-Jordan} convergence test", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "281--282", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "42A20", MRnumber = "835 296", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Turk:1986:FDP, author = "Jan Turk", title = "The fixed divisor of a polynomial", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "282--286", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05 (11C08)", MRnumber = "87e:12007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brandl:1986:IPR, author = "Rolf Brandl", title = "Integer polynomials that are reducible modulo all primes", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "286--288", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05 (11S20)", MRnumber = "87f:12007", MRreviewer = "N. Sankaran", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lehmer:1986:CPS, author = "D. H. Lehmer", title = "Coloring the {Platonic} solids", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "288--292", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C15", MRnumber = "87e:05072", MRreviewer = "Paul A. Catlin", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See errata \cite{Kleiner:1990:ECP}.", acknowledgement = ack-nhfb, } @Article{Gessel:1986:LET, author = "Ira Gessel", title = "Letter to the editor: {{``Trees and power-sums''} [Amer. Math. Monthly {\bf 92} (1985), no. 5, 328--331, MR 87e:05016a] by A. H. Stone}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "323--324", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A19 (11P80)", MRnumber = "87e:05016b", MRreviewer = "Konrad Engel", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Stone:1985:TPS}.", acknowledgement = ack-nhfb, } @Article{Weintraub:1986:LET, author = "Steven H. Weintraub", title = "Letter to the editor: {{``Tricks or treats with the Hilbert matrix''} [Amer. Math. Monthly {\bf 90} (1983), no. 5, 301--312, MR 84h:47031] by M. D. Choi}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "324--324", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47B35", MRnumber = "87g:47047", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Choi:1983:TTH}.", acknowledgement = ack-nhfb, } @Article{Aldous:1986:SCS, author = "David Aldous and Persi Diaconis", title = "Shuffling cards and stopping times", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "333--348", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60C05 (60B15 60G40 60J15)", MRnumber = "88a:60021", MRreviewer = "Endre Cs{\'a}ki", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Leader:1986:WDN, author = "Solomon Leader", title = "What is a differential? {A} new answer from the generalized {Riemann} integral", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "348--356", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26A42)", MRnumber = "87e:26002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilde:1986:TLD, author = "Alan C. Wilde", title = "Transformations leaving the determinant of circulant matrices invariant", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "356--361", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A15", MRnumber = "88c:15006", MRreviewer = "Julio Ruiz-Claeyssen", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hancl:1986:SPI, author = "Jaroslav Han{\v{c}}l", title = "A simple proof of the irrationality of $\pi^4$", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "374--375", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11J72", MRnumber = "87g:11084", MRreviewer = "Vichian Laohakosol", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cecil:1986:PCM, author = "Thomas E. Cecil and Patrick J. Ryan", title = "The principal curvatures of the monkey saddle", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "380--382", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A05", MRnumber = "87f:53004", MRreviewer = "J. Hoschek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gilmer:1986:ZDC, author = "Robert Gilmer", title = "Zero divisors in commutative rings", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "382--387", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "13M05 (13H99)", MRnumber = "87f:13028", MRreviewer = "T. W. Hungerford", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ikebe:1986:EAF, author = "Yasuhiko Ikebe and Toshiyuki Inagaki", title = "An elementary approach to the functional calculus for matrices", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "390--392", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21", MRnumber = "87g:15013", MRreviewer = "Lajos L{\'a}szl{\'o}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Burgstahler:1986:ASP, author = "Sylvan Burgstahler", title = "An algorithm for solving polynomial equations", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "421--430", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65H05 (12D10)", MRnumber = "87k:65060", MRreviewer = "Boro D{\"o}ring", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kedem:1986:SCS, author = "Benjamin Kedem", title = "A stochastic characterization of the sine function", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "430--440", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60G17 (60G10 60G15)", MRnumber = "88a:60079", MRreviewer = "E. J. Hannan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Macdonald:1986:CTP, author = "I. D. Macdonald", title = "Commutators and their products", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "440--444", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20-01 (20D15)", MRnumber = "87f:20004", MRreviewer = "A. H. Rhemtulla", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Farwig:1986:VLP, author = "R. Farwig and D. Zwick", title = "A variation on the {Landau} problem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "444--451", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D10", MRnumber = "87h:26026", MRreviewer = "I. Gavrea", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Edwards:1986:QRS, author = "A. W. F. Edwards", title = "A quick route to sums of powers", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "451--455", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11P05", MRnumber = "87h:11099", MRreviewer = "S. Turj{\'a}nyi", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Walls:1986:AG, author = "Gary L. Walls", title = "Automorphism groups", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "459--462", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20F28", MRnumber = "87f:20050", MRreviewer = "Martin R. Pettet", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bosch:1986:FSM, author = "A. J. Bosch", title = "The factorization of a square matrix into two symmetric matrices", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "462--464", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21 (15A23)", MRnumber = "87g:15012", MRreviewer = "Lajos L{\'a}szl{\'o}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Benavides:1986:HMZ, author = "Tom{\'a}s Dom{\'\i}nguez Benavides", title = "How many zeros does a continuous function have", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "464--466", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A15", MRnumber = "87j:26006", MRreviewer = "P. C. Bhakta", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wimp:1986:QGM, author = "Jet Wimp", title = "Quadrature with generalized means", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "466--468", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65D32", MRnumber = "88b:65040", MRreviewer = "Stephen W. Brady", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Smyth:1986:CPG, author = "C. J. Smyth", title = "A coloring proof of a generalisation of {Fermat}'s little theorem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "469--471", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A25 (11A07)", MRnumber = "87k:11012", MRreviewer = "Charles M. Grinstead", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hoare:1986:IBP, author = "A. H. M. Hoare", title = "An involution of blocks in the partitions of $n$", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "475--476", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A17 (11P57)", MRnumber = "87i:05028", MRreviewer = "G. L. Alexanderson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Anderson:1986:LES, author = "David F. Anderson", title = "Letter to the editor: {{``Solvability of infinite systems of polynomial equations over the field of complex numbers''} [Amer. Math. Monthly {\bf 92} (1985), no. 2, 94--98, MR 86c:12004] by A. Abian}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "496--497", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05", MRnumber = "87i:12008", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Abian:1985:SIS}.", acknowledgement = ack-nhfb, } @Article{Pelling:1986:LED, author = "M. J. Pelling", title = "Letter to the editor: {{``Dini type theorems on positive series''} [Amer. Math. Monthly {\bf 92} (1985), no. 5, 347--349, MR 86m:40001] by P. Biler}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "6", pages = "497--498", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05", MRnumber = "87j:40001", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Biler:1985:DTT}.", acknowledgement = ack-nhfb, } @Article{Korevaar:1986:LBC, author = "J. Korevaar", title = "{Ludwig Bieberbach}'s conjecture and its proof by {Louis de Branges}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "505--514", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A65 (30-03)", MRnumber = "87m:01039", MRreviewer = "D. H. Hamilton", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bogart:1986:NSM, author = "Kenneth P. Bogart and Peter G. Doyle", title = "Nonsexist solution of the m{\'e}nage problem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "514--519", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A05 (05A15 90D42)", MRnumber = "87h:05007", MRreviewer = "W. Moser", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Borwein:1986:NAS, author = "David Borwein and Jonathan M. Borwein", title = "A note on alternating series in several dimensions", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "531--539", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40B05 (40A05)", MRnumber = "87j:40008", MRreviewer = "F. M{\'o}ricz", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zivaljevic:1986:IME, author = "Rade T. {\v{Z}}ivaljevi{\'c}", title = "Infinitesimals, microsimplexes and elementary homology theory", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "540--544", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "55M20 (03H05 54J05)", MRnumber = "856 293", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Barnett:1986:FRT, author = "S. Barnett", title = "Forms of the resultant of two polynomials", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "551--552", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A15 (12D10)", MRnumber = "87m:15018", MRreviewer = "Lajos L{\'a}szl{\'o}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Jacobson:1986:IBP, author = "Eliot T. Jacobson and Alan E. Parks", title = "Infinite branches of the phi-tree", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "552--554", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A25 (05C20)", MRnumber = "87j:11007", MRreviewer = "Gordon D. Prichett", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Aron:1986:H, author = "Richard M. Aron and Gerd H. Fricke", title = "Homomorphisms on {$C({\bf R})$}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "555--555", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46J10", MRnumber = "87i:46109", MRreviewer = "L. E. Pursell", bibdate = "Thu Apr 29 15:57:39 1999", note = "See comments \cite{Colley:1987:TB,Pursell:1987:CHA}.", acknowledgement = ack-nhfb, } @Article{Kueh:1986:NKA, author = "Ka-Lam Kueh", title = "A note on {Kronecker}'s approximation theorem", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "555--556", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11J72", MRnumber = "87i:11085", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hiriart-Urruty:1986:WPS, author = "J.-B. Hiriart-Urruty", title = "When is a point $x$ satisfying $\nabla f(x)=0$ a global minimum of $f$", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "556--558", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90C30", MRnumber = "87k:90223", MRreviewer = "Siegfried Schaible", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Howe:1986:NPE, author = "Everett Howe", title = "A new proof of {Erd{\"o}s}' theorem on monotone multiplicative functions", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "593--595", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A25", MRnumber = "87k:11010", MRreviewer = "Michael E. Mays", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Savage:1986:GCM, author = "Richard P. {Savage, Jr.}", title = "Graphical constructions of means", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "595--603", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15 (26D99)", MRnumber = "88b:51030", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Farnsworth:1986:GM, author = "David Farnsworth and Richard Orr", title = "Gini means", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "603--607", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15", MRnumber = "88b:51031", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Long:1986:RHP, author = "Robert L. Long", title = "Remarks on the history and philosophy of mathematics", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "609--619", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "00A05 (01-01)", MRnumber = "88b:00007", MRreviewer = "K. E. Hirst", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Maltese:1986:SPF, author = "George Maltese", title = "A simple proof of the fundamental theorem of finite {Markov} chains", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "629--630", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60J10", MRnumber = "88b:60158", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Allen:1986:CD, author = "Charles S. Allen", title = "A characterization of dimension", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "635--636", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A20 (46B25)", MRnumber = "87m:52005", MRreviewer = "G. Coquet", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Folland:1986:CA, author = "G. B. Folland", title = "On characterizations of analyticity", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "640--641", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30A05", MRnumber = "87m:30003", MRreviewer = "R. P. Boas, Jr.", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Byrd:1986:SCF, author = "Richard D. Byrd", title = "Simultaneous complements in finite-dimensional vector spaces", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "641--642", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A03 (15A99)", MRnumber = "87m:15002", MRreviewer = "B. Reichstein", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Markham:1986:OIP, author = "Thomas L. Markham", title = "Oppenheim's inequality for positive definite matrices", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "642--644", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A15 (15A45 15A57)", MRnumber = "87k:15013", MRreviewer = "George P. Barker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Blyth:1986:CCD, author = "Colin R. Blyth", title = "Convolutions of {Cauchy} distributions", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "645--647", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60E05", MRnumber = "868 113", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Carchidi:1986:MFE, author = "M. Carchidi", title = "A method for finding the eigenvectors of an $n\times n$ matrix corresponding to eigenvalues of multiplicity one", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "8", pages = "647--649", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A18", MRnumber = "88f:15013", MRreviewer = "M. Pearl", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Williams:1986:FML, author = "H. P. Williams", title = "Fourier's method of linear programming and its dual", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "681--695", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90C05", MRnumber = "88m:90092", MRreviewer = "H. C. Bakhshi", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Clough:1986:MSG, author = "John Clough and Gerald Myerson", title = "Musical scales and the generalized circle of fifths", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "695--701", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A99", MRnumber = "88a:05019", MRreviewer = "G. L. Alexanderson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Simpson:1986:MTP, author = "James E. Simpson", title = "More trees and power sums", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "701--708", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C05 (05C30)", MRnumber = "87j:05068", MRreviewer = "J. W. Moon", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Valiaho:1986:EAJ, author = "H. V{\"a}liaho", title = "An elementary approach to the {Jordan} form of a matrix", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "711--714", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21", MRnumber = "863 972", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chan:1986:AFD, author = "Beda Chan", title = "An application of finite difference algebra", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "716--717", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60G55 (62G30)", MRnumber = "863 973", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Benson:1986:FLG, author = "David Benson and Walter Feit and Roger Howe", title = "Finite linear groups, the {Commodore 64}, {Euler} and {Sylvester}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "717--719", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (05A17 20G40)", MRnumber = "87m:05011", MRreviewer = "M. S. Cheema", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kleinfeld:1986:CRW, author = "Erwin Kleinfeld", title = "A class of rings which are very nearly associative", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "720--722", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "17A30", MRnumber = "87j:17003", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Parks:1986:OIN, author = "Alan E. Parks", title = "$\pi$, and $e$, and other irrational numbers", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "722--723", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11J72", MRnumber = "87j:11068", bibdate = "Sat Dec 06 15:15:36 1997", acknowledgement = ack-nhfb, } @Article{Botsko:1986:EGR, author = "Michael W. Botsko", title = "An easy generalization of the {Riemann} integral", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "728--732", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A42", MRnumber = "87m:26007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hiller:1986:CCG, author = "Howard Hiller", title = "Crystallography and cohomology of groups", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "10", pages = "765--779", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "22E40 (20J10 53C30 57S30)", MRnumber = "88m:22025", MRreviewer = "Kyung Bai Lee", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brunson:1986:POI, author = "Barry W. Brunson", title = "The partial order of iterated exponentials", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "10", pages = "779--786", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "06A10 (20B30)", MRnumber = "89d:06001", MRreviewer = "Margret H. H{\"o}ft", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Silverman:1986:PFO, author = "Joseph H. Silverman", title = "Points of finite order on elliptic curves", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "10", pages = "793--795", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11G05 (11D25 14G25)", MRnumber = "87k:11061", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Faber:1986:SCM, author = "V. Faber and J. Mycielski", title = "The shortest curve that meets all the lines that meet a convex body", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "10", pages = "796--801", month = "????", year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40 (52A20)", MRnumber = "87m:52017", MRreviewer = "W. J. Firey", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1987:PRK, author = "Donald E. Knuth", title = "Problem 86-2, a random knockout tournament (with solution)", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "??", pages = "127--129", year = "1987", ISSN = "0002-9890", bibdate = "Fri Aug 12 23:24:40 1994", } @Article{Wilf:1987:GVR, author = "Herbert S. Wilf", title = "A greeting: and a view of {Riemann}'s hypothesis", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "3--6", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11M26", MRnumber = "88a:11082", MRreviewer = "C. Ryavec", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bender:1987:NTD, author = "Edward A. Bender", title = "The number of three-dimensional convex polyhedra", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "7--21", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A25 (05A15)", MRnumber = "88b:52010", MRreviewer = "Andrew Vince", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See errata \cite{Bender:1987:ENT}.", acknowledgement = ack-nhfb, } @Article{Kalman:1987:CFI, author = "Dan Kalman and Abraham Ungar", title = "Combinatorial and functional identities in one-parameter matrices", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "21--35", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A10 (05A19 15A24)", MRnumber = "88a:05009", MRreviewer = "Marilena Barnabei", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Roy:1987:BIH, author = "Ranjan Roy", title = "Binomial identities and hypergeometric series", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "36--46", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A19 (33A35)", MRnumber = "88f:05012", MRreviewer = "Louis Shapiro", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Beardon:1987:CCC, author = "Alan F. Beardon", title = "Curvature, circles, and conformal maps", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "48--53", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C35", MRnumber = "87m:30014", MRreviewer = "W. M. Causey", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Calhoun:1987:CSS, author = "William C. Calhoun", title = "Counting the subgroups of some finite groups", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "54--59", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20D60", MRnumber = "88d:20042", MRreviewer = "F. P{\'e}rez Monasor", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Johnson:1987:DE, author = "Wells Johnson", title = "The {Diophantine} equation {$X^2+7=2^n$}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "59--62", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D61", MRnumber = "88b:11015", MRreviewer = "Nikos Tzanakis", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Colley:1987:TB, author = "Susan Jane Colley", title = "The tumbling box", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "62--68", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A17 (70B10)", MRnumber = "88b:53010", MRreviewer = "H. R. M{\"u}ller", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Aron:1986:H} and correction \cite{Colley:1987:CTB}.", acknowledgement = ack-nhfb, } @Article{Sarason:1987:MTF, author = "Donald Sarason", title = "The multiplication theorem for {Fredholm} operators", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "68--70", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47A53 (15A04)", MRnumber = "88c:47021", MRreviewer = "Karl-Heinz F{\"o}rster", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hwang:1987:TTC, author = "F. K. Hwang", title = "A tale of two coins", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "121--129", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90C40 (05A99)", MRnumber = "88c:90136", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Althoen:1987:GJR, author = "Steven C. Althoen and Renate McLaughlin", title = "{Gauss-Jordan} reduction: a brief history", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "130--142", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A55 (15A21)", MRnumber = "88d:01017", MRreviewer = "J. L. Brenner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pelletier:1987:MMS, author = "Don Pelletier", title = "Merlin's magic square", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "143--150", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B15", MRnumber = "88a:05030", MRreviewer = "D. A. Klarner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zaks:1987:NFC, author = "Joseph Zaks", title = "Neighborly families of congruent convex polytopes", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "151--155", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A25", MRnumber = "88b:52018", MRreviewer = "J. B{\"o}hm", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Beck:1987:CFB, author = "Anatole Beck", title = "Constructing a fair border", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "157--162", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A75 (51M20)", MRnumber = "88a:28011", MRreviewer = "K. E. Hirst", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{MacHale:1987:ACR, author = "Desmond MacHale", title = "An anticommutativity consequence of a ring commutativity theorem of {Herstein}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "162--165", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A70", MRnumber = "88i:16040", MRreviewer = "Nai Chang Dong", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Searcoid:1987:RST, author = "M{\'\i}che{\'a}l {\'O} Searc{\'o}id", title = "A reordering of the {Sylow} theorems", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "165--168", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20D20", MRnumber = "87m:20068", MRreviewer = "W. E. Deskins", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Erdos:1987:API, author = "P. Erd{\"o}s and P. P. P{\'a}lfy and M. Szegedy", title = "$a\pmod {p}\leq b\pmod {p}$ for all primes $p$ implies $a=b$", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "169--170", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A07", MRnumber = "87k:11003", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Saff:1987:EQM, author = "E. B. Saff and Jon C. Snader", title = "The error for quadrature methods: a complex variables approach", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "175--180", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65D32", MRnumber = "88i:65045", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1987:SPEa, author = "Donald E. Knuth", title = "Solution to problem {E3061}, Empty cells", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "2", pages = "189", month = feb, year = "1987", ISSN = "0002-9890", bibdate = "Sun Dec 04 12:15:13 1994", } @Article{Krantz:1987:WSC, author = "Steven G. Krantz", title = "What is several complex variables", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "236--256", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "32-01", MRnumber = "88e:32001", MRreviewer = "Juli{\`a} Cuf\u\i", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brualdi:1987:JCF, author = "Richard A. Brualdi", title = "The {Jordan} canonical form: an old proof", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "257--267", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A21 (15A18)", MRnumber = "88b:15009", MRreviewer = "George P. Barker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilf:1987:FLO, author = "Herbert S. Wilf", title = "Finite lists of obstructions", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "267--271", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C10", MRnumber = "88d:05055", MRreviewer = "Bradley W. Jackson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Furuta:1987:CCH, author = "Takayuki Furuta", title = "A counterexample to a conjectured {Hermitian} matrix inequality", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "271--272", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A45 (15A57)", MRnumber = "88a:15037", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Paris:1987:AAC, author = "R. B. Paris", title = "An asymptotic approximation connected with the golden number", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "272--278", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "39B10 (30D05 41A60)", MRnumber = "88d:39014", MRreviewer = "John S. Lew", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{vanderPloeg:1987:DNQ, author = "C. E. {van der Ploeg}", title = "Duality in nonnormal quartic fields", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "279--284", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11R16", MRnumber = "88j:11064", MRreviewer = "Antonio Jos{\'e} Engler", bibdate = "Sat Dec 06 22:29:25 1997", note = "See letter to the editor \cite{Lazarus:1989:LED} and errata \cite{vanderPloeg:1987:EDN}.", acknowledgement = ack-nhfb, } @Article{Rozema:1987:RIT, author = "Edward R. Rozema", title = "{Romberg} integration by {Taylor} series", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "284--288", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A55 (65D30)", MRnumber = "88c:41051", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rovnyak:1987:NCP, author = "James Rovnyak", title = "Note on characteristic polynomials", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "289--290", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A18 (15A15 15A60)", MRnumber = "88f:15016", MRreviewer = "John Chollet", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Herstein:1987:RFF, author = "I. N. Herstein", title = "A remark on finite fields", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "290--291", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11T06", MRnumber = "88d:11124", MRreviewer = "C. Small", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Taylor:1987:SGT, author = "Robert Lee Taylor and Tien Chung Hu", title = "Sub-{Gaussian} techniques in proving strong laws of large numbers", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "3", pages = "295--299", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60F15 (60G50)", MRnumber = "88d:60100", MRreviewer = "R. J. Tomkins", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Epperson:1987:RE, author = "James F. Epperson", title = "On the {Runge} example", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "4", pages = "329--341", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A05", MRnumber = "88c:41003", MRreviewer = "Len Bos", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rosenthal:1987:RTL, author = "Peter Rosenthal", title = "The remarkable theorem of {L{\'e}vy} and {Steinitz}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "4", pages = "342--351", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05", MRnumber = "88d:40005", MRreviewer = "B. Kuttner", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ikebe:1987:MTC, author = "Yasuhiko Ikebe and Toshiyuki Inagaki and Sadaaki Miyamoto", title = "The monotonicity theorem, {Cauchy}'s interlace theorem, and the {Courant-Fischer} theorem", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "4", pages = "352--354", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A42", MRnumber = "88a:15035", MRreviewer = "Shao Kuan Li", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilker:1987:DL, author = "J. B. Wilker", title = "The $n$th derivative as a limit", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "4", pages = "354--356", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24", MRnumber = "883 289", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Choi:1987:LDG, author = "Bong Dae Choi", title = "Limiting distribution for the generalized matching problem", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "4", pages = "356--360", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60C05 (60F05)", MRnumber = "88c:60034", MRreviewer = "C. J. Park", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Roy:1987:EPC, author = "Nina M. Roy", title = "Extreme points of convex sets in infinite-dimensional spaces", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "5", pages = "409--422", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A07", MRnumber = "89a:52001", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Mauldon:1987:MAR, author = "J. G. Mauldon", title = "A matrix with applications to random walk, {Brownian} motion, and ring theory", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "5", pages = "423--436", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A99 (60J15)", MRnumber = "88j:15030", MRreviewer = "Endre Cs{\'a}ki", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wallen:1987:AWW, author = "Lawrence J. Wallen", title = "All the way with {Wirtinger}: a short proof of {Bonnesen}'s inequality", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "5", pages = "440--442", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A10 (52A40)", MRnumber = "88f:52003", MRreviewer = "Joseph H. G. Fu", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Beer:1987:WFU, author = "Gerald Beer and Luzviminda Villar", title = "When is a free union of regular measures regular", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "5", pages = "443--445", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A12", MRnumber = "886 306", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Petro:1987:RDA, author = "John Petro", title = "Real division algebras of dimension $>1$ contain {${\bf C}$}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "5", pages = "445--449", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "17A35 (12E15 16A39 55P99)", MRnumber = "88d:17002", MRreviewer = "J. L. Zemmer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Miller:1987:MOE, author = "William Miller", title = "The maximum order of an element of a finite symmetric group", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "6", pages = "497--506", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20B05 (11N99 20D60)", MRnumber = "89k:20005", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zwicker:1987:PGG, author = "William S. Zwicker", title = "Playing games with games: the hypergame paradox", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "6", pages = "507--514", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D05 (00A25 03D20 03E10)", MRnumber = "89e:90221", MRreviewer = "B. van Rootselaar", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{McKay:1987:CD, author = "John McKay", title = "On computing discriminants", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "6", pages = "523--527", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05", MRnumber = "89h:12005", MRreviewer = "Lindsay N. Childs", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zwick:1987:BAC, author = "D. Zwick", title = "Best approximation by convex functions", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "6", pages = "528--534", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "41A30 (41A50)", MRnumber = "89e:41026", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Laugwitz:1987:SCG, author = "Detlef Laugwitz and Bernd Rodewald", title = "A simple characterization of the gamma function", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "6", pages = "534--536", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A15", MRnumber = "89h:33003", MRreviewer = "P. Anandani", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wagon:1987:FPR, author = "Stan Wagon", title = "Fourteen proofs of a result about tiling a rectangle", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "601--617", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A45", MRnumber = "89h:52018", MRreviewer = "Kenneth Holladay", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kidwell:1987:TET, author = "Mark E. Kidwell and R. Bruce Richter", title = "Trees and {Euler} tours in a planar graph and its relatives", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "618--630", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C10", MRnumber = "89b:05081", MRreviewer = "Brian Alspach", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Maurer:1987:RR, author = "Peter M. Maurer", title = "A rose is a rose$\ldots$", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "631--645", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51N20", MRnumber = "89c:51025", MRreviewer = "V. Medek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Colley:1987:CTB, author = "Susan Jane Colley", title = "Correction: {{``The tumbling box''} [Amer. Math. Monthly {\bf 94} (1987), no. 1, 62--68, MR 88b:53010]}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "646--646", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A17 (70B10)", MRnumber = "89b:53018", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Colley:1987:TB}.", acknowledgement = ack-nhfb, } @Article{Pursell:1987:CHA, author = "Lyle E. Pursell", title = "Comment: {{``Homomorphisms on {$C({\bf R})$}''} [Amer. Math. Monthly {\bf 93} (1986), no. 7, 555, MR 87i:46109] by R. M. Aron and G. H. Fricke}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "646--646", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "46J10", MRnumber = "89b:46065", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Aron:1986:H}.", acknowledgement = ack-nhfb, } @Article{Ferguson:1987:GSA, author = "Helaman Ferguson", title = "Generalization of some algorithms of {Euler}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "647--652", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11J69 (11Y16)", MRnumber = "89d:11057", MRreviewer = "H. J. Godwin", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Eynden:1987:API, author = "Charles Vanden Eynden", title = "Applications of a product identity to sums of squares and partitions", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "652--656", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11P72", MRnumber = "89c:11152", MRreviewer = "Paula A. Kemp", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cronin:1987:CMR, author = "T. M. Cronin", title = "The construction of matrices with required properties over the integers", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "656--662", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A36 (15-01)", MRnumber = "89b:15023", MRreviewer = "William H. Gustafson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Choe:1987:EP, author = "Boo Rim Choe", title = "An elementary proof of $\sum^\infty_{n=1}1/n^2=\pi^2/6$", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "662--663", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A25", MRnumber = "935 853", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hoffman:1987:IFA, author = "Michael Hoffman", title = "An invariant of finite abelian groups", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "664--666", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20K01", MRnumber = "89g:20084", MRreviewer = "P. L. Sperry", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{White:1987:RC, author = "Arthur T. White", title = "Ringing the cosets", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "8", pages = "721--746", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20B99 (05C10 05C25 20D60)", MRnumber = "90a:20010", MRreviewer = "Norman Biggs", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Scott:1987:FE, author = "Paul R. Scott", title = "The fascination of the elementary", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "8", pages = "759--768", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11H06 (11H16 52A43 52A45)", MRnumber = "89k:11050", MRreviewer = "J. M. Wills", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nathanson:1987:GGS, author = "Melvyn B. Nathanson", title = "A generalization of the {Goldbach-Shnirel\cprime{}man} theorem", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "8", pages = "768--771", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11P32 (11N35)", MRnumber = "90b:11098", MRreviewer = "H. G. Meijer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Korec:1987:NP, author = "I. Korec and {\v{S}}. Zn{\'a}m", title = "A note on the {$3x+1$} problem", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "8", pages = "771--772", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B50", MRnumber = "90g:11023", MRreviewer = "G. Lord", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Mendes:1987:HMC, author = "Claudio Martins Mendes and Maria Aparecida Soares Ruas", title = "Hyperbolic motions of conics", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "825--845", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A35 (53A04 53C50)", MRnumber = "89c:53012", MRreviewer = "J. K. Beem", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kletzing:1987:RRF, author = "Dennis Kletzing", title = "Rational representations of finite groups: the story of $\gamma$", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "846--854", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20C15", MRnumber = "89c:20019", MRreviewer = "Lee Klingler", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilf:1987:ECS, author = "Herbert S. Wilf", title = "The editor's corner: strings, substrings, and the {``nearest integer''} function", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "855--860", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15", MRnumber = "89b:05019", MRreviewer = "Helmut Prodinger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Benjamin:1987:BMW, author = "Arthur Benjamin", title = "The bisection method: which root", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "861--863", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A99 (65H99)", MRnumber = "89c:26016", MRreviewer = "E. J. Barbeau", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See errata \cite{Benjamin:1990:EBM}.", acknowledgement = ack-nhfb, } @Article{Villani:1987:SLC, author = "Alfonso Villani", title = "Spaces with locally compact completions are compact", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "863--865", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54F65 (54E45 54E52)", MRnumber = "89e:54072", MRreviewer = "J. M. Aarts", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Simpson:1987:DCS, author = "R. J. Simpson", title = "Disjoint covering systems of congruences", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "865--868", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A07 (11B25)", MRnumber = "89b:11006", MRreviewer = "{\v{S}}. Zn{\'a}m", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See comment \cite{Zeilberger:1989:CRJ}.", acknowledgement = ack-nhfb, } @Article{Johnson:1987:EP, author = "C. Johnson and G. Wolkowicz and H. Wolkowicz", title = "Elem. Prob. {E}. 3234", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "9", pages = "877", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Cipra:1987:IIM, author = "Barry A. Cipra", title = "An introduction to the {Ising} model", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "937--959", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "82-01 (82A68)", MRnumber = "89g:82001", MRreviewer = "Peter J. Forrester", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Freund:1987:SES, author = "David E. Freund", title = "Selecting estimators for the standard deviation of a normal distribution", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "971--975", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "62F10", MRnumber = "89d:62026", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Tondeur:1987:BRI, author = "Philippe Tondeur", title = "Barycentric representation for the incenter and excenters of a triangle", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "975--976", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05", MRnumber = "89f:51077", MRreviewer = "Hans Robert M{\"u}ller", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Minassian:1987:AGM, author = "Donald P. Minassian", title = "The arithmetic-geometric mean inequality revisited: elementary calculus and negative numbers", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "977--978", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D15", MRnumber = "89e:26035", MRreviewer = "G. A. Heuer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Heatherly:1987:MS, author = "Henry Heatherly", title = "Matrices satisfying {$AB-BA=I$}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "979--980", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A24 (15A33)", MRnumber = "89b:15019", MRreviewer = "William H. Gustafson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Nelsen:1987:CMP, author = "Roger B. Nelsen", title = "Consequences of the memoryless property for random variables", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "981--984", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60E05 (62E10)", MRnumber = "89d:60022", MRreviewer = "Barry C. Arnold", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bender:1987:ENT, author = "Edward A. Bender", title = "Errata: {{``The number of three-dimensional convex polyhedra''} [Amer. Math. Monthly {\bf 94} (1987), no. 1, 7--21, MR 88b:52010]}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "994--994", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A25 (05A15)", MRnumber = "89b:52006", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Bender:1987:NTD}.", acknowledgement = ack-nhfb, } @Article{Bohn:1987:ESG, author = "S. Elwood Bohn and Jong Lee", title = "Errata: {{``Semitopological groups''} [Amer. Math. Monthly {\bf 72} (1965), 996--998, MR {\bf 32} \#7672]}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "994--994", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "22A05", MRnumber = "89d:22001", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Anonymous:1965:SG}.", acknowledgement = ack-nhfb, } @Article{vanderPloeg:1987:EDN, author = "C. E. {van der Ploeg}", title = "Errata: {{``Duality in nonnormal quartic fields''} [Amer. Math. Monthly {\bf 94} (1987), no. 3, 279--284]}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "10", pages = "994--994", month = "????", year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11R16", MRnumber = "89c:11156", bibdate = "Sat Dec 06 22:29:23 1997", note = "See \cite{vanderPloeg:1987:DNQ} and letter to the editor \cite{Lazarus:1989:LED}.", acknowledgement = ack-nhfb, } @Article{Alexanderson:1988:ADS, author = "Gerald L. Alexanderson", title = "Award for distinguished service to {Professor Murray Klamkim}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "1", pages = "1--4", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70", MRnumber = "935 426", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Grunbaum:1988:IF, author = "Branko Gr{\"u}nbaum and G. C. Shephard", title = "Isonemal fabrics", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "1", pages = "5--30", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B30 (52A37)", MRnumber = "89g:05039", MRreviewer = "C. R. J. Clapham", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bloom:1988:CGD, author = "Gary S. Bloom and John W. Kennedy and Louis V. Quintas", title = "A characterization of graphs of diameter two", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "1", pages = "37--38", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C75", MRnumber = "89e:05162", MRreviewer = "J. Sheehan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lima:1988:JBS, author = "Elon L. Lima", title = "The {Jordan-Brouwer} separation theorem for smooth hypersurfaces", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "1", pages = "39--42", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A07", MRnumber = "89i:53007", MRreviewer = "V. T. Fomenko", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fowler:1988:KBY, author = "Peter A. Fowler", title = "The {K{\"o}nigsberg} bridges---250 years later", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "1", pages = "42--43", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C45", MRnumber = "935 430", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Newman:1988:MS, author = "Donald J. Newman and T. D. Parsons", title = "On monotone subsequences", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "1", pages = "44--45", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A03", MRnumber = "935 431", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kopperman:1988:ATC, author = "Ralph Kopperman", title = "All topologies come from generalized metrics", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "2", pages = "89--97", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54E35 (54D10)", MRnumber = "89d:54017", MRreviewer = "R. M. Stephenson", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Polites:1988:PDT, author = "George W. Polites", title = "Prime desert $n$-tuplets", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "2", pages = "98--104", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A41", MRnumber = "89c:11014", MRreviewer = "A. N. Philippou", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Eldridge:1988:DKC, author = "Klaus E. Eldridge and Seok Sagong", title = "The determination of {Kaprekar} convergence and loop convergence of all three-digit numbers", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "2", pages = "105--112", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B83 (11A63)", MRnumber = "89c:11037", MRreviewer = "F. Schweiger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bouwer:1988:QP, author = "I. Bouwer and Z. Star", title = "A question of protocol", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "2", pages = "118--121", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C15", MRnumber = "89f:05073", MRreviewer = "I. Broere", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Beebee:1988:EII, author = "John Beebee", title = "Examples of infinite, incongruent exact covers", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "2", pages = "121--123", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B25 (11A07)", MRnumber = "89g:11013", MRreviewer = "{\v{S}}tefan Porubsk\'y", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See errata \cite{Beebee:1990:EEI}.", acknowledgement = ack-nhfb, } @Article{Hallenbeck:1988:AUC, author = "David J. Hallenbeck and Katarzyna Tkaczy{\'n}ska", title = "The absolute and uniform convergence of infinite improper integrals", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "2", pages = "124--126", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A42", MRnumber = "935 424", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Arora:1988:SIT, author = "Ashok K. Arora and Sudhir K. Goel and Dennis M. Rodriguez", title = "Special integration techniques for trigonometric integrals", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "2", pages = "126--130", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06", MRnumber = "89e:26004", MRreviewer = "G. A. Heuer", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Leibowitz:1989:LES}.", acknowledgement = ack-nhfb, } @Article{Gleason:1988:ATH, author = "Andrew M. Gleason", title = "Angle trisection, the heptagon, and the triskaidecagon", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "3", pages = "185--194", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15", MRnumber = "89d:51028", MRreviewer = "K. Strubecker", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See addenda \cite{Gleason:1988:AAT}.", acknowledgement = ack-nhfb, } @Article{Kauffman:1988:NIT, author = "Louis H. Kauffman", title = "New invariants in the theory of knots", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "3", pages = "195--242", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57M25", MRnumber = "89d:57005", MRreviewer = "Hugh Reynolds Morton", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gallian:1988:HW, author = "Joseph A. Gallian and Douglas S. Jungreis", title = "Homomorphisms from {$Z_m[i]$} into {$Z_n[i]$} and {$Z_m[\rho]$} into {$Z_n[\rho],$} where $i^2+1=0$ and $\rho^2+\rho+1=0$", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "3", pages = "247--249", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11R11", MRnumber = "89c:11154", MRreviewer = "Harald Niederreiter", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Botsko:1988:EPB, author = "Michael W. Botsko", title = "An elementary proof that a bounded a.e. continuous function is {Riemann} integrable", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "3", pages = "249--252", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26A42)", MRnumber = "89c:26001", MRreviewer = "James Foran", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Froemke:1988:AAS, author = "Jon Froemke and Jerrold W. Grossman", title = "An algebraic approach to some number-theoretic problems arising from paper-folding regular polygons", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "289--307", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11K99 (11A99)", MRnumber = "89d:11063", MRreviewer = "M. Mend{\`e}s France", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Vardi:1988:IIA, author = "Ilan Vardi", title = "Integrals, an introduction to analytic number theory", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "308--315", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11M41 (11-01 26A09)", MRnumber = "89b:11073", MRreviewer = "S. L. Segal", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Robertson:1988:DFS, author = "Lewis C. Robertson and Rae Michael Shortt and Stephen G. Landry", title = "Dice with fair sums", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "316--328", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60C05 (05-04 33A65 90D05)", MRnumber = "89h:60019", MRreviewer = "E. Rodney Canfield", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Stout:1988:TDF, author = "Lawrence Neff Stout", title = "Two discrete forms of the {Jordan} curve theorem", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "332--336", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C10 (05C38)", MRnumber = "89e:05085", MRreviewer = "Andrew Vince", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ashraf:1988:SPI, author = "Mohd. Ashraf and Murtaza A. Quadri and Daniel Zelinsky", title = "Some polynomial identities that imply commutativity for rings", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "336--339", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A70", MRnumber = "89c:16045", MRreviewer = "A. Yaqub", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Trotter:1988:OEN, author = "Hale F. Trotter", title = "An overlooked example of nonunique factorization", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "339--342", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12E05 (11R27)", MRnumber = "89h:12006", MRreviewer = "H. G. Diamond", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Krishnaiah:1988:TCG, author = "P. V. Krishnaiah", title = "Two counterexamples in general topology", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "342--343", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54G20", MRnumber = "935 210", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Artmann:1988:SPS, author = "Benno Artmann", title = "A simple proof for the simplicity of {$A_5$}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "4", pages = "344--349", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20D06 (51M20)", MRnumber = "89e:20034", MRreviewer = "Ulrich Dempwolff", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lalley:1988:PNT, author = "S. P. Lalley", title = "The {``prime number theorem''} for the periodic orbits of a {Bernoulli} flow", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "385--398", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58F17", MRnumber = "89e:58094", MRreviewer = "H. R. Gluck", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Withers:1988:FPT, author = "Wm. Douglas Withers", title = "Folding polynomials and their dynamics", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "399--413", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58F25 (26C05 58F08)", MRnumber = "89g:58178", MRreviewer = "M. Mend{\`e}s France", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Leonard:1988:MFI, author = "I. E. Leonard", title = "More on {Fresnel} integrals", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "431--433", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06", MRnumber = "89m:26002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Martin:1988:CAG, author = "Gary A. Martin", title = "A class of abelian groups arising from an analysis of a proof", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "433--436", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20K99", MRnumber = "89e:20098", MRreviewer = "Delmar L. Boyer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Schue:1988:WTF, author = "John Schue", title = "The {Wedderburn} theorem of finite division rings", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "436--437", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A39 (12E15 16A44 16A70)", MRnumber = "89f:16021", MRreviewer = "Jean-Pierre Tignol", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hill:1988:CHM, author = "Theodore P. Hill", title = "Common hyperplane medians for random vectors", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "437--441", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60D05", MRnumber = "89d:60018", MRreviewer = "Hermann Haase", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cox:1988:QRC, author = "David A. Cox", title = "Quadratic reciprocity: its conjecture and application", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "442--448", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A15", MRnumber = "937 534", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hayes:1988:EPE, author = "Barry Hayes and Donald E. Knuth and Carlos Subi", title = "Elementary problem {E3267}, a solitaire game", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "5", pages = "456--457", month = may, year = "1988", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:57:59 1994", note = "Solutions in \cite{Nijenhuis:1993:SEP}.", } @Article{Day:1988:GGE, author = "Jane Day and Brian Peterson", title = "Growth in {Gaussian} elimination", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "489--513", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65F05 (15A15)", MRnumber = "89i:65032", MRreviewer = "O. Pokorn{\'a}", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fisher:1988:MGI, author = "Stephen D. Fisher", title = "The {M{\"o}bius} group and invariant spaces of analytic functions", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "514--527", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30H05 (46E15 46J15 47B35)", MRnumber = "89k:30051", MRreviewer = "Richard M. Timoney", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Conrey:1988:ZTP, author = "Brian Conrey and Amit Ghosh", title = "On the zeros of the {Taylor} polynomials associated with the exponential function", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "528--533", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C15 (30B10)", MRnumber = "90e:30006", MRreviewer = "A. K. Agarwal", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wendel:1988:SIE, author = "J. G. Wendel", title = "Shanks' identity is elementary", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "534--534", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A05", MRnumber = "90c:11005", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pelling:1988:LE, author = "M. J. Pelling", title = "Letter to the editor", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "535--536", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30D45 (30B99)", MRnumber = "89g:30062", MRreviewer = "W. H. J. Fuchs", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fabrykowski:1988:CFC, author = "J. Fabrykowski", title = "On continued fractions and a certain example of a sequence of continuous functions", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "537--539", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A15 (11A55 26A03)", MRnumber = "89i:40001", MRreviewer = "Andr{\'e} Hautot", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See errata \cite{Hensley:1988:ECF}.", acknowledgement = ack-nhfb, } @Article{Anglin:1988:UPT, author = "W. S. Anglin", title = "Using {Pythagorean} triangles to approximate angles", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "540--541", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D09 (51M05)", MRnumber = "89c:11040", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wildenberg:1988:CPF, author = "Gerald Wildenberg", title = "Convergence-preserving functions", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "542--544", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A99 (90A05)", MRnumber = "89f:26012", MRreviewer = "J. S. Lipi{\'n}ski", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Boyd:1988:DE, author = "David W. Boyd", title = "The {Diophantine} equation $x^2+y^m=z^{2n}$", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "544--547", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D41 (11D25)", MRnumber = "89f:11046", MRreviewer = "Nikos Tzanakis", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See addendum \cite{Boyd:1990:ADE}.", acknowledgement = ack-nhfb, } @Article{Almkvist:1988:GLR, author = "Gert Almkvist and Bruce Berndt", title = "{Gauss}, {Landen}, {Ramanujan}, the arithmetic-geometric mean, ellipses, $\pi$, and the {\it {Ladies} diary}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "585--608", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A50 (01A55 01A60 33A25)", MRnumber = "89j:01028", MRreviewer = "R. A. Askey", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kingston:1988:SPT, author = "John G. Kingston and John L. Synge", title = "The sequence of pedal triangles", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "609--620", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A07 (51M05)", MRnumber = "90b:11005", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Small:1988:MSF, author = "Charles Small", title = "Magic squares over fields", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "621--625", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B15 (05B20 15A03)", MRnumber = "89i:05062", MRreviewer = "E. J. F. Primrose", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Tremain:1988:JTP, author = "Janet Crandell Tremain", title = "The {Jerusalem} ticket problem", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "626--630", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15", MRnumber = "89i:05031", MRreviewer = "C. R. Pranesachar", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chilakamarri:1988:DBG, author = "Kiran B. Chilakamarri", title = "Decomposition of bipartite graphs into paths", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "634--636", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C70", MRnumber = "89m:05087", MRreviewer = "H. Joseph Straight", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Quine:1988:FLT, author = "W. V. Quine", title = "Fermat's last theorem in combinatorial form", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "636--636", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D41", MRnumber = "89g:11026", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Simoson:1988:DES, author = "Andrew Simoson", title = "A difference equation for strings of ones", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "636--638", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "39A10 (11A63)", MRnumber = "89j:39002", MRreviewer = "B. M. Agrawal", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Norton:1988:CFD, author = "Alec Norton", title = "Continued fractions and differentiability of functions", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "639--643", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A24 (11A55 26A27)", MRnumber = "89j:26009", MRreviewer = "Mary E. Flahive", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1988:SPE, author = "Donald E. Knuth", title = "Solution to problem {E3166}, {A} polynomial identity", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "662--663", month = aug # "--" # sep, year = "1988", ISSN = "0002-9890", bibdate = "Sun Dec 04 12:16:44 1994", } @Article{Kazarinoff:1988:SFB, author = "Nicholas D. Kazarinoff", title = "Special functions and the {Bieberbach} conjecture", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "689--696", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C50 (33A30)", MRnumber = "90d:30043", MRreviewer = "S. L. Shukla", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Guy:1988:SLS, author = "Richard K. Guy", title = "The strong law of small numbers", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "697--712", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11-01 (00A05 05-01)", MRnumber = "90c:11002", MRreviewer = "Louis Shapiro", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Mitchell:1988:ESM, author = "John Mitchell and Lee A. Rubel", title = "Every smooth map of {Euclidean} space into itself is an expansion followed by a contraction", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "713--716", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26B40 (58C25)", MRnumber = "89m:26023", MRreviewer = "D. Preiss", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cohen:1988:SVI, author = "G. L. Cohen and G. H. Smith", title = "A simple verification of {Ilieff}'s conjecture for polynomials with three zeros", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "734--737", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C10 (30C15)", MRnumber = "89i:30002", MRreviewer = "Thomas McCoy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Beer:1988:USR, author = "Gerald Beer", title = "{UC} spaces revisited", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "737--739", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54E35 (54E50)", MRnumber = "90a:54073", MRreviewer = "R. Hodel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hile:1988:LIH, author = "G. N. Hile and R. Z. Yeh", title = "Line integrals of higher-order derivatives", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "739--744", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A36", MRnumber = "90c:26027", MRreviewer = "Anna Salvadori", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Chew:1988:NCC, author = "James Chew", title = "A note on closure continuity", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "744--745", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54C08", MRnumber = "89i:54011", MRreviewer = "Janina Ewert", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1988:APA, author = "Donald E. Knuth and Ilan Vardi", title = "Advanced problem 6581, the asymptotic expansion of the middle binomial coefficient", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "774", month = oct, year = "1988", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:02 1994", note = "Solutions in \cite{Knuth:1990:SAP}.", } @Article{Taussky:1988:HBT, author = "Olga Taussky", title = "How {I} became a torchbearer for matrix theory", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "801--812", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70 (15-03)", MRnumber = "90d:01077", MRreviewer = "Desmond Fearnley-Sander", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Morgan:1988:AMS, author = "Frank Morgan", title = "Area-minimizing surfaces, faces of {Grassmannians}, and calibrations", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "813--822", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "53A10 (49F10 49F20)", MRnumber = "89m:53016", MRreviewer = "Michael Gr{\"u}ter", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Brooks:1988:CIM, author = "Robert Brooks", title = "Constructing isospectral manifolds", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "823--839", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58G25 (11F72 53C20)", MRnumber = "89k:58285", MRreviewer = "Min-oo Maung", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Baston:1988:SCG, author = "V. J. Baston and F. A. Bostock", title = "A simple cover-up game", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "850--854", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D05", MRnumber = "90c:90242", MRreviewer = "A. Pultr", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Liu:1988:NPP, author = "Fa Sheng Liu", title = "A note on probabilities in proofreading", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "854--854", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60C05 (62N10)", MRnumber = "89j:60020", MRreviewer = "Karl Weber", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rosen:1988:PLL, author = "Michael I. Rosen", title = "A proof of the {Lucas-Lehmer} test", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "855--856", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A51 (11Y11)", MRnumber = "89i:11011", MRreviewer = "John Michael Schram", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Aczel:1988:BMU, author = "J. Acz{\'e}l and Zs. P{\'a}les", title = "The behaviour of means under equal increments of their variables", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "856--860", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A20 (26D20)", MRnumber = "90e:05015", MRreviewer = "Helmut Prodinger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Andrews:1988:CS, author = "Peter Andrews", title = "The classification of surfaces", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "861--867", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57N05", MRnumber = "89k:57024", MRreviewer = "Roger Fenn", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Campoli:1988:PID, author = "Oscar A. C{\'a}mpoli", title = "A principal ideal domain that is not a {Euclidean} domain", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "868--871", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11R11 (13F10)", MRnumber = "89h:11066", MRreviewer = "C. Small", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lehmer:1988:NAB, author = "D. H. Lehmer", title = "A new approach to {Bernoulli} polynomials", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "905--911", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B68 (39B20)", MRnumber = "90c:11014", MRreviewer = "W. Herget", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Callan:1989:LEN}.", acknowledgement = ack-nhfb, } @Article{Gleason:1988:AAT, author = "Andrew M. Gleason", title = "Addenda: {{``Angle trisection, the heptagon, and the triskaidecagon''} [Amer. Math. Monthly {\bf 95} (1988), no. 3, 185--194, MR 89d:51028]}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "911--911", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M15", MRnumber = "90c:51023", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Gleason:1988:ATH}.", acknowledgement = ack-nhfb, } @Article{Hensley:1988:ECF, author = "Doug Hensley", title = "Errata: {{``On continued fractions and a certain example of a sequence of continuous functions''} [Amer. Math. Monthly {\bf 95} (1988), no. 6, 537--539, MR 89i:40001] by J. Fabrykowski}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "911--911", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A15", MRnumber = "89k:40006", MRreviewer = "Andr{\'e} Hautot", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Fabrykowski:1988:CFC}.", acknowledgement = ack-nhfb, } @Article{Llewellyn:1988:FST, author = "Donna Crystal Llewellyn and Craig Tovey and Michael Trick", title = "Finding saddlepoints of two-person, zero sum games", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "912--918", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D05", MRnumber = "90f:90164", MRreviewer = "C. B. Millham", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Book:1988:DAC, author = "Ronald V. Book", title = "Dehn's algorithm and the complexity of word problems", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "919--925", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "03D03 (03D40 20F10 20M05)", MRnumber = "90k:03039", MRreviewer = "Do Long Van", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lin:1988:ABP, author = "X.-B. Lin", title = "Another brief proof of the {Sylvester} theorem", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "932--933", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A37", MRnumber = "89m:52012", MRreviewer = "G. D. Chakerian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Furuta:1988:ESC, author = "Takayuki Furuta", title = "{$A\geq B\geq 0$} ensures {$(BA^2B)^{1/2}\geq B^2$}---solution to a conjecture on operator inequalities", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "933--934", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47A60 (15A45 47B15)", MRnumber = "90a:47040", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Landy:1988:GCT, author = "Steven Landy", title = "A generalization of {Ceva}'s theorem to higher dimensions", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "936--939", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05 (51M20)", MRnumber = "90c:51020", MRreviewer = "J. Strommer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ramakrishnan:1988:SCT, author = "S. Ramakrishnan and W. D. Sudderth", title = "A sequence of coin toss variables for which the strong law fails", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "939--941", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60F15", MRnumber = "90a:60063", MRreviewer = "Gh. Opri{\c{s}}an", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lewin:1988:STT, author = "Jonathan Lewin and Myrtle Lewin", title = "A simple test for the $n$th term of a series to approach zero", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "942--942", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05", MRnumber = "979 142", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Magill:1988:UTS, author = "K. D. {Magill, Jr.}", title = "Universal topological spaces", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "942--946", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54C25 (54-01)", MRnumber = "89m:54018", MRreviewer = "J. M. Aarts", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See errata \cite{Magill:1990:EUT}.", acknowledgement = ack-nhfb, } @Article{Gilbert:1988:CMI, author = "Richard C. Gilbert", title = "Companion matrices with integer entries and integer eigenvalues and eigenvectors", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "947--950", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A36 (15A21)", MRnumber = "89j:15030", MRreviewer = "Morris Newman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Gerstein:1988:NAC, author = "Larry J. Gerstein", title = "A new algorithm for computing the rank of a matrix", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "10", pages = "950--952", month = "????", year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "65F30 (15A03)", MRnumber = "979 145", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1989:EPEb, author = "Donald E. Knuth", title = "Elementary problem {E3303}, a binary summation", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "??", pages = "54", year = "1989", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:12 1994", note = "Solutions in \cite{Knuth:1990:SEPb}.", } @Article{Knuth:1989:EPEc, author = "Donald E. Knuth", title = "Elementary problem {E3309}, a binomial coefficient inequality", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "??", pages = "154", year = "1989", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:14 1994", note = "Solutions in \cite{Knuth:1990:SEPc}.", } @Article{Knuth:1989:EPEa, author = "Donald E. Knuth", title = "Elementary problem {E3335}, a deranged recurrence", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "??", pages = "525", year = "1989", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:04 1994", note = "Solutions in \cite{Knuth:1990:SEPa}.", } @Article{Knuth:1989:SEP, author = "Donald E. Knuth", title = "Solution to Elementary problem {E2982}, a double infinite sum for $\vert x\vert$", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "??", pages = "525--526", year = "1989", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:57:44 1994", note = "Original problem in \cite{Knuth:1983:EPE}.", } @Article{Ross:1989:ADS, author = "Kenneth Ross", title = "Award for distinguished service to {Ivan Niven}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "3--4", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A70", MRnumber = "90c:01097", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Busenberg:1989:MPD, author = "Stavros Busenberg and David Fisher and Mario Martelli", title = "Minimal periods of discrete and smooth orbits", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "5--17", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "58F22 (34C25)", MRnumber = "90b:58229", MRreviewer = "Stanis{\l}aw S{\c{e}}dziwy", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lazarus:1989:LED, author = "Andrew J. Lazarus", title = "Letter to the editor: {{``Duality in nonnormal quartic fields''} [Amer. Math. Monthly {\bf 94} (1987), no. 3, 279--284, MR 88j:11064 and errata, MR 89c:11156] by C. E. van der Ploeg}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "17--17", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11R16", MRnumber = "90c:11081", MRreviewer = "Antonio Jos{\'e} Engler", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{vanderPloeg:1987:DNQ} and errata \cite{vanderPloeg:1987:EDN}.", acknowledgement = ack-nhfb, } @Article{Gamelin:1989:IIR, author = "T. W. Gamelin and D. Khavinson", title = "The isoperimetric inequality and rational approximation", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "18--30", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30E10 (41A20 46J10)", MRnumber = "90d:30108", MRreviewer = "Arne Stray", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Hupert:1989:SRI, author = "Lillian E. Peters Hupert and Anne Leggett", title = "On the square roots of infinite matrices", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "34--38", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47B37 (15A24 47A60)", MRnumber = "90b:47045", MRreviewer = "William W. Hastings", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pakula:1989:NVD, author = "Lewis Pakula", title = "A note on {Venn} diagrams", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "38--39", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51N20", MRnumber = "89k:51040", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ligh:1989:DSR, author = "Steve Ligh and Jiang Luh", title = "Direct sum of {$J$}-rings and zero rings", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "40--41", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A48 (16A70)", MRnumber = "90a:16021", MRreviewer = "A. Yaqub", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Patin:1989:VSP, author = "J. M. Patin", title = "A very short proof of {Stirling}'s formula", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "41--42", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A15", MRnumber = "90e:33005a", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Nelsen:1989:LEV}.", acknowledgement = ack-nhfb, } @Article{Mader:1989:EME, author = "Adolf Mader", title = "A {Euclidean} model for {Euclidean} geometry", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "43--49", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M05", MRnumber = "89m:51030", MRreviewer = "H. W. Guggenheimer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Osborne:1989:OBI, author = "Anthony Osborne and Hans Liebeck", title = "Orthogonal bases of {${\bf {R}}^3$} with integer coordinates and integer lengths", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "49--53", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D09 (11H06 15A36)", MRnumber = "90d:11035", MRreviewer = "A. Florian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Strang:1989:PLA, author = "Gilbert Strang", title = "Patterns in linear algebra", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "2", pages = "105--117", month = feb, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A23 (05C50 65Fxx)", MRnumber = "90g:15024", MRreviewer = "Ching-Tsuan Pan", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cooper:1989:CIN, author = "Curtis N. Cooper and Robert E. Kennedy", title = "{Chebyshev}'s inequality and natural density", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "2", pages = "118--124", month = feb, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B05", MRnumber = "90g:11018", MRreviewer = "T. {\v{S}}al{\'a}t", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bateman:1989:NMC, author = "P. T. Bateman and J. L. Selfridge and S. S. {Wagstaff, Jr.}", title = "The new {Mersenne} conjecture", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "2", pages = "125--128", month = feb, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A51 (11Y11)", MRnumber = "90c:11009", MRreviewer = "Neville Robbins", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See letter to the editor \cite{Mullin:1989:LEN}. The authors state: {\sc New Mersenne Conjecture}. {\em If two of the following statements about an odd positive integer $p$ are true, then the third one is also true. (a) $p = 2^k \pm 1$ or $p = 4^k \pm 3$. (b) $M_p (= 2^p - 1)$ is prime. (c) $(2^p + 1)/3$ is prime.}", acknowledgement = ack-nhfb, } @Article{Bockman:1989:GFA, author = "S. F. Bockman", title = "Generalizing the formula for areas of polygons to moments", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "2", pages = "131--132", month = feb, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M25 (26B15)", MRnumber = "90c:51026", MRreviewer = "Murray S. Klamkin", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Kappe:1989:ETG, author = "Luise-Charlotte Kappe and Bette Warren", title = "An elementary test for the {Galois} group of a quartic polynomial", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "2", pages = "133--137", month = feb, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12F10 (12E05)", MRnumber = "90i:12006", MRreviewer = "Kurt Girstmair", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bapat:1989:CSR, author = "R. B. Bapat", title = "Comparing the spectral radii of two nonnegative matrices", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "2", pages = "137--139", month = feb, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A48 (15A45 47A10)", MRnumber = "90e:15027", MRreviewer = "Sing Cheong Ong", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Borwein:1989:RME, author = "J. M. Borwein and P. B. Borwein and D. H. Bailey", title = "{Ramanujan}, modular equations, and approximations to pi, or {How} to compute one billion digits of pi", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "201--219", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11Y60 (01A60 11F03 33A25)", MRnumber = "90d:11143", MRreviewer = "Herman J. J. te Riele", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See also \cite{Bailey:1997:RCV} for a significance advance in this work, and \cite{Adamchik:1997:SF} for further simplifications and derivations of families of series for $\pi$.", acknowledgement = ack-nhfb, } @Article{Lawrence:1989:EDR, author = "J. Lawrence and G. E. Simons", title = "Equations in division rings --- a survey", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "220--232", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A39 (12E15)", MRnumber = "90g:16015", MRreviewer = "John Dauns", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Leibowitz:1989:LES, author = "Gerald Leibowitz", title = "Letters to the editor: {{``Special integration techniques for trigonometric integrals''} [Amer. Math. Monthly {\bf 95} (1988), no. 2, 126--130, MR 89e:26004] by A. K. Arora, S. K. Goel and D. M. Rodriguez}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "232--232", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06", MRnumber = "90d:26002", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Arora:1988:SIT}.", acknowledgement = ack-nhfb, } @Article{Sangwine-Yager:1989:MBB, author = "J. R. Sangwine-Yager", title = "The missing boundary of the {Blaschke} diagram", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "233--237", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40", MRnumber = "90a:52024", MRreviewer = "J. B. Wilker", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Blank:1989:GIP, author = "S. J. Blank and Nishan Krikorian and David Spring", title = "A geometrically inspired proof of the singular value decomposition", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "238--239", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A18 (15A57)", MRnumber = "90g:15017", MRreviewer = "B. Reichstein", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bailey:1989:SZM, author = "Craig Bailey and R. Bruce Richter", title = "Sum zero (mod $n$), size $n$ subsets of integers", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "240--242", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B13", MRnumber = "90d:11020", MRreviewer = "A. P. Street", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Crowe:1989:OM, author = "John Crowe and Dominick Samperi", title = "On open maps", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "242--243", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54D15 (54A25 54D10 54D30)", MRnumber = "90f:54035", MRreviewer = "I. A. Hasanein", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zeilberger:1989:CRJ, author = "Doron Zeilberger", title = "On a conjecture of {R. J. Simpson} about exact covering congruences: {{``Disjoint covering systems of congruences''} [Amer. Math. Monthly {\bf 94} (1987), no. 9, 865--868, MR 89b:11006]}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "243--243", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A07 (11B25)", MRnumber = "90a:11008", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Simpson:1987:DCS}.", acknowledgement = ack-nhfb, } @Article{Gupta:1989:GWE, author = "Narain Gupta", title = "On groups in which every element has finite order", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "297--308", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "20F50", MRnumber = "90d:20073", MRreviewer = "Seymour Bachmuth", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Adhikari:1989:SPA, author = "Ani Adhikari and Jim Pitman", title = "The shortest planar arc of width $1$", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "309--327", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40", MRnumber = "90d:52016", MRreviewer = "G. D. Chakerian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Botsko:1989:UFC, author = "Michael W. Botsko", title = "The use of full covers in real analysis", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "328--333", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26A24)", MRnumber = "90d:26001", MRreviewer = "G. A. Heuer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Diaconis:1989:FD, author = "Persi Diaconis and Joseph B. Keller", title = "Fair dice", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "337--339", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A25", MRnumber = "90f:52011", MRreviewer = "E. Hertel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cosgrave:1989:REP, author = "John B. Cosgrave", title = "A remark on {Euclid}'s proof of the infinitude of primes", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "339--341", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A41", MRnumber = "90i:11011", MRreviewer = "J. B. Roberts", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cucker:1989:APC, author = "Felipe Cucker and Antonio Gonzalez Corbalan", title = "An alternate proof of the continuity of the roots of a polynomial", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "342--345", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12D10 (30C15 32A05)", MRnumber = "90h:12003", MRreviewer = "Yi Hong", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Thompson:1989:TTU, author = "H. B. Thompson", title = "{Taylor}'s theorem using the generalized {Riemann} integral", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "4", pages = "346--350", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A42 (26A39)", MRnumber = "90d:26015", MRreviewer = "Ralph Henstock", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Andrews:1989:MPR, author = "George E. Andrews and R. J. Baxter", title = "A motivated proof of the {Rogers-Ramanujan} identities", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "401--409", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11P57 (05A19)", MRnumber = "90e:11147", MRreviewer = "F. van der Blij", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See comment \cite{Robinson:1990:CMP}.", acknowledgement = ack-nhfb, } @Article{McCleary:1989:HPF, author = "John McCleary", title = "How not to prove {Fermat}'s last theorem", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "410--420", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D41 (11J87)", MRnumber = "90h:11026", MRreviewer = "Lian Xiang Wang", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rubel:1989:ECS, author = "Lee A. Rubel", title = "The editor's corner: summability theory: a neglected tool of analysis", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "421--423", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40-01", MRnumber = "994 033", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{David:1989:PC, author = "Guy David and Carlos Tomei", title = "The problem of the calissons", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "429--431", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M20 (05B40 52A45)", MRnumber = "90c:51024", MRreviewer = "Tam{\'a}s Sz{\"o}nyi", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rosay:1989:AAT, author = "Jean-Pierre Rosay and Walter Rudin", title = "Arakelian's approximation theorem", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "432--434", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30E10", MRnumber = "90h:30091", MRreviewer = "V. P. Khavin", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Maddox:1989:NLF, author = "I. J. Maddox", title = "The norm of a linear functional", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "434--436", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26D15 (46E15)", MRnumber = "90c:26065", MRreviewer = "R. N. Mohapatra", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bradley:1989:ETR, author = "Richard C. Bradley", title = "An elementary treatment of the {Radon-Nikod\'ym} derivative", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "437--440", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A15 (28A50)", MRnumber = "90d:28007", MRreviewer = "Cristina Maria Di Bari", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilansky:1989:PRN, author = "Albert Wilansky", title = "On the proof of the {Radon-Nikod\'ym} theorem", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "441--441", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A15 (26A46)", MRnumber = "994 038", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Thompson:1989:NCU, author = "Christopher L. Thompson", title = "Nonstandard continuity and uniform convergence", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "443--444", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26E35 (03H05)", MRnumber = "994 039", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Anderson:1989:DBW, author = "Richard Anderson and L{\'a}szl{\'o} Lov{\'a}sz and Peter Shor and Joel Spencer and {\'E}va Tardos and Shmuel Winograd", title = "Disks, balls, and walls: analysis of a combinatorial game", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "481--493", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D42 (05A20)", MRnumber = "90e:90169", MRreviewer = "Harold Reiter", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Goodman:1989:MCL, author = "Jacob E. Goodman and J{\'a}nos Pach and Chee-K. Yap", title = "Mountain climbing, ladder moving, and the ring-width of a polygon", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "494--510", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A37 (90B10)", MRnumber = "90h:52010", MRreviewer = "G. D. Chakerian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Callan:1989:LEN, author = "David Callan", title = "Letter to the editor: {{``A new approach to Bernoulli polynomials''} [Amer. Math. Monthly {\bf 95} (1988), no. 10, 905--911, MR 90c:11014] by D. H. Lehmer}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "510--510", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B68", MRnumber = "90g:11024", MRreviewer = "W. Herget", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Lehmer:1988:NAB}.", acknowledgement = ack-nhfb, } @Article{Nelsen:1989:LEV, author = "Roger B. Nelsen", title = "Letter to the editor: {{``A very short proof of Stirling's formula''} [Amer. Math. Monthly {\bf 96} (1989), no. 1, 41--42, MR 90e:33005a] by J. M. Patin}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "510--511", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "33A15", MRnumber = "90e:33005b", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Patin:1989:VSP}.", acknowledgement = ack-nhfb, } @Article{Mullin:1989:LEN, author = "Albert A. Mullin", title = "Letter to the editor: {{``The new Mersenne conjecture''} [Amer. Math. Monthly {\bf 96} (1989), no. 2, 125--128, MR 90c:11009] by P. T. Bateman, J. L. Selfridge and S. S. Wagstaff, Jr}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "511--511", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11A51 (11Y11)", MRnumber = "90f:11008", MRreviewer = "Neville Robbins", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Bateman:1989:NMC}. Conjectures that ``$M_n (= 2^{n} - 1)$ is the product of two distinct primes only if $n$ is either a prime $p$ or the square of a prime $q$, in which case precisely one prime factor of $M_n$ is Mersenne, vis. $M_q$.''", acknowledgement = ack-nhfb, } @Article{Pinkham:1989:LES, author = "Roger Pinkham", title = "Letter to the editor: {``A simple test for the $n$th term of a series to approach zero''} {[Amer. Math. Monthly {\bf 95} (1988), no. 10, 942] by J. Lewin and M. Lewin}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "511--511", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A05", MRnumber = "999 416", bibdate = "Sat Dec 06 16:44:14 1997", acknowledgement = ack-nhfb, } @Article{Cohen:1989:MMF, author = "Joel M. Cohen", title = "Monotone multiplicative functions", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "512--513", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11N64", MRnumber = "90f:11086", MRreviewer = "J. Knopfmacher", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wong:1989:PPD, author = "W. J. Wong", title = "Powers of a prime dividing binomial coefficients", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "513--517", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A10 (11A99 20G05)", MRnumber = "90d:05011", MRreviewer = "Wayne M. Dymacek", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wang:1989:PDM, author = "Derming Wang", title = "The polar decomposition and a matrix inequality", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "6", pages = "517--519", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A57", MRnumber = "90e:15037", MRreviewer = "Shao Kuan Li", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Erdos:1989:PLM, author = "Paul Erd{\"o}s and Dean Hickerson and J{\'a}nos Pach", title = "A problem of {Leo Moser} about repeated distances on the sphere", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "569--575", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A37", MRnumber = "90h:52008", MRreviewer = "L. M. Kelly", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Abi-Khuzam:1989:SRG, author = "Faruk F. Abi-Khuzam and Artin B. Boghossian", title = "Some recent geometric inequalities", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "576--589", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "51M25 (52A40)", MRnumber = "90h:51022", MRreviewer = "A. Florian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zeilberger:1989:KOC, author = "Doron Zeilberger", title = "{Kathy O'Hara}'s constructive proof of the unimodality of the {Gaussian} polynomials", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "590--602", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05A15 (05A10 05A30)", MRnumber = "90g:05021", MRreviewer = "Dennis White", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Arterburn:1989:CSN, author = "David R. Arterburn and William Dean Stone", title = "A {Cantor} set of nonconvergence", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "604--608", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A18 (58F08)", MRnumber = "90e:26009", MRreviewer = "F. Brooks", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Stock:1989:MMS, author = "Daniel L. Stock", title = "{Merlin}'s magic square revisited", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "608--610", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05B15 (90D42)", MRnumber = "90g:05053", MRreviewer = "Dieter Jungnickel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Fisher:1989:NWL, author = "David C. Fisher", title = "The number of words of length $n$ in a graph monoid", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "610--614", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C99 (05A99)", MRnumber = "90d:05193", MRreviewer = "Larry Basen{\v{s}}piler", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Edelsbrunner:1989:NFN, author = "Herbert Edelsbrunner and Steven S. Skiena", title = "On the number of furthest neighbour pairs in a point set", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "614--618", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A37 (52A40)", MRnumber = "90h:52007", MRreviewer = "L. M. Kelly", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lee:1989:RDD, author = "E. T. Y. Lee", title = "A remark on divided differences", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "7", pages = "618--622", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "39A99 (65D99)", MRnumber = "90i:39008", MRreviewer = "Dumitru Acu", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Borwein:1989:PEN, author = "J. M. Borwein and P. B. Borwein and K. Dilcher", title = "Pi, {Euler} numbers, and asymptotic expansions", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "681--687", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "40A25 (11Y60 65B15)", MRnumber = "91c:40002", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Irwin:1989:GCF, author = "M. C. Irwin", title = "Geometry of continued fractions", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "696--703", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11J70 (11A55 40A15 41A21)", MRnumber = "90j:11063", MRreviewer = "H.-J. Runckel", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Wilf:1989:ECW, author = "Herbert S. Wilf", title = "The editor's corner: the white screen problem", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "704--707", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "60J10 (68U05)", MRnumber = "1 019 150", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Zoll:1989:LE, author = "Peter F. Zoll", title = "Letter to the editor", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "709--710", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "01A40", MRnumber = "92e:01027", MRreviewer = "Louis Charbonneau", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Cusick:1989:FPT, author = "Larry W. Cusick and Peter Tannenbaum", title = "Fixed points of the twisted cyclic shift operator", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "713--717", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "57S17", MRnumber = "90j:57032", MRreviewer = "M.-C. Ku", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Douwen:1989:FTN, author = "Eric K. {van Douwen}", title = "{Fubini}'s theorem for null sets", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "718--721", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "28A35", MRnumber = "90h:28007", MRreviewer = "J. C. Oxtoby", bibdate = "Sat Dec 13 13:34:55 1997", acknowledgement = ack-nhfb, } @Article{Bassein:1989:OP, author = "Richard Bassein", title = "An optimization problem", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "721--725", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "90D99 (70Q05 90D42)", MRnumber = "90h:90209", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lewkowicz:1989:CCC, author = "R. E. Lewkowicz", title = "A characterization of a class of composition operators", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "725--726", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "47B38", MRnumber = "90i:47033", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rubel:1989:STT, author = "Lee A. Rubel", title = "A survey of transcendentally transcendental functions", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "777--788", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "12H05 (30D05)", MRnumber = "91b:12010", MRreviewer = "E. P. Merkes", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bezdek:1989:CCT, author = "K. Bezdek and R. Connelly", title = "Covering curves by translates of a convex set", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "789--806", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40 (52A10)", MRnumber = "90k:52020", MRreviewer = "G. D. Chakerian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Horwitz:1989:RFS, author = "Alan Horwitz", title = "Reconstructing a function from its set of tangent lines", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "807--813", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26B05 30E99)", MRnumber = "91a:26003", MRreviewer = "W. T. Whitley", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Thurston:1989:CGB, author = "Hugh Thurston", title = "Can a graph be both continuous and discontinuous", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "814--815", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A15", MRnumber = "90k:26007", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rosset:1989:NSF, author = "Shmuel Rosset", title = "Normalized symmetric functions, {Newton}'s inequalities and a new set of stronger inequalities", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "815--819", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05E05", MRnumber = "91e:05083", MRreviewer = "Helmut Prodinger", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Alon:1989:RS, author = "N. Alon and I. Krasikov and Y. Peres", title = "Reflection sequences", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "820--823", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B75", MRnumber = "91c:11013", MRreviewer = "Richard T. Bumby", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Sagher:1989:CR, author = "Yoram Sagher", title = "Counting the rationals", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "823--823", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "04A10", MRnumber = "90i:04001", MRreviewer = "Perry Smith", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Herron:1989:RCP, author = "Isom H. Herron", title = "The radius of convergence of power series solutions to linear differential equations", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "824--827", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "34A25", MRnumber = "1 033 352", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Epperson:1989:UIM, author = "James F. Epperson", title = "On the use of iteration methods for approximating the natural logarithm", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "831--835", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26A09)", MRnumber = "91a:26002", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Dowling:1989:TNS, author = "William F. Dowling", title = "There are no safe virus tests", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "9", pages = "835--836", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "68Q99 (03D10 68N05)", MRnumber = "91c:68101", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Ash:1989:URT, author = "J. Marshall Ash", title = "Uniqueness of representation by trigonometric series", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "10", pages = "873--885", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "42B05 (42A63 43A50)", MRnumber = "90k:42021", MRreviewer = "Colin C. Graham", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Lew:1989:OIP, author = "John S. Lew and Donald A. {Quarles, Jr.}", title = "Optimal inscribed polygons in convex curves", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "10", pages = "886--902", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "52A40", MRnumber = "90k:52023", MRreviewer = "G. D. Chakerian", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Tsarpalias:1989:VRT, author = "A. Tsarpalias", title = "A version of {Rouch{\'e}}'s theorem of continuous functions", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "10", pages = "911--913", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C15", MRnumber = "91b:30023", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Pambuccian:1989:AEE, author = "Victor Pambuccian", title = "Another example of an exotic function", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "10", pages = "913--914", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A30", MRnumber = "90m:26013", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Bogart:1989:FMT, author = "Kenneth P. Bogart", title = "A fresh(man) treatment of determinants", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "10", pages = "915--920", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A15", MRnumber = "90j:15012", MRreviewer = "Shao Kuan Li", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Rushanan:1989:VM, author = "Joseph J. Rushanan", title = "On the {Vandermonde} matrix", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "10", pages = "921--924", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "15A99 (12E10)", MRnumber = "90j:15039", MRreviewer = "Morris Newman", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Leary:1989:RIR, author = "F. C. Leary", title = "Rings with invertible regular elements", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "10", pages = "924--926", month = "????", year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "16A45 (16A44)", MRnumber = "90k:16022", MRreviewer = "J. L. Zemmer", bibdate = "Wed Dec 3 17:17:33 MST 1997", acknowledgement = ack-nhfb, } @Article{Knuth:1990:SEPb, author = "Donald E. Knuth", title = "Solution to Elementary problem {E3303}, a binary summation", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "??", pages = "348--349", year = "1990", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:13 1994", note = "Original problem in \cite{Knuth:1989:EPEb}.", } @Article{Knuth:1990:SEPc, author = "Donald E. Knuth", title = "Solution to Elementary problem {E3309}, a binomial coefficient inequality", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "??", pages = "614", year = "1990", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:16 1994", note = "Original problem in \cite{Knuth:1989:EPEc}.", } @Article{Knuth:1990:SEPa, author = "Donald E. Knuth", title = "Solution to Elementary problem {E3335}, a deranged recurrence", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "??", pages = "927--927", year = "1990", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:06 1994", note = "Original problem in \cite{Knuth:1989:EPEa}.", } @Article{Robinson:1990:CMP, author = "Raphael M. Robinson", title = "Comment to: {{``A motivated proof of the Rogers-Ramanujan identities''} [Amer. Math. Monthly {\bf 96} (1989), no. 5, 401--409, MR 90e:11147] by G. E. Andrews and R. J. Baxter. With a reply by Andrews}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "3", pages = "214--215", month = mar, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11P81 (05A19)", MRnumber = "91j:11086", MRreviewer = "F. van der Blij", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Andrews:1989:MPR}.", acknowledgement = ack-nhfb, } @Article{Boyd:1990:ADE, author = "David W. Boyd", title = "Addendum: {{``The Diophantine equation $x^2+y^m=z^{2n\,}$''} [Amer. Math. Monthly {\bf 95} (1988), no. 6, 544--547, MR 89f:11046]}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "5", pages = "411--412", month = may, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11D41", MRnumber = "91d:11028", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Boyd:1988:DE}.", acknowledgement = ack-nhfb, } @Article{Beebee:1990:EEI, author = "John Beebee", title = "Errata: {{``Examples of infinite, incongruent exact covers''} [Amer. Math. Monthly {\bf 95} (1988), no. 2, 121--123, MR 89g:11013]}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "5", pages = "412--412", month = may, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "11B25 (11A07)", MRnumber = "91a:11013", bibdate = "Sat Dec 06 23:11:57 1997", note = "See \cite{Beebee:1988:EII}.", acknowledgement = ack-nhfb, } @Article{Benjamin:1990:EBM, author = "Arthur T. Benjamin", title = "Errata: {{``The bisection method: which root?''} [Amer. Math. Monthly {\bf 94} (1987), no. 9, 861--863, MR 89c:26016]}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "5", pages = "412--412", month = may, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A99 (65H99)", MRnumber = "91c:26013", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Benjamin:1987:BMW}.", acknowledgement = ack-nhfb, } @Article{Kleiner:1990:ECP, author = "Hans-J. Kleiner", title = "Errata: {{``Coloring the Platonic solids''} [Amer. Math. Monthly {\bf 93} (1986), no. 4, 288--292, MR 87e:05072] by D. H. Lehmer}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "5", pages = "412--412", month = may, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "05C15", MRnumber = "91a:05044", bibdate = "Thu Apr 29 16:01:32 1999", note = "See \cite{Lehmer:1986:CPS}.", acknowledgement = ack-nhfb, } @Article{Magill:1990:EUT, author = "K. D. {Magill, Jr.}", title = "Errata: {``Universal topological spaces''} {[Amer. Math. Monthly {\bf 95} (1988), no. 10, 942--946, MR 89m:54018]}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "5", pages = "412--412", month = may, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "54C25 (54-01)", MRnumber = "91c:54021", bibdate = "Sat Dec 06 16:42:13 1997", note = "See \cite{Magill:1988:UTS}.", acknowledgement = ack-nhfb, } @Article{Wong:1990:EMV, author = "Jingcheng Wong", title = "Errata: {{``On the mean value theorem for integrals''} [Amer. Math. Monthly {\bf 89} (1982), no. 5, 300--301, MR 83g:26002] by B. Jacobson}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "5", pages = "412--412", month = may, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "26A06 (26A24)", MRnumber = "91b:26004", bibdate = "Wed Dec 3 17:17:33 MST 1997", note = "See \cite{Jacobson:1982:MVT}.", acknowledgement = ack-nhfb, } @Article{Knuth:1990:SAP, author = "Donald E. Knuth", title = "Solution to Advanced problem 6581, the asymptotic expansion of the middle binomial coefficient", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "7", pages = "629--630", month = aug # "\slash " # sep, year = "1990", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:03 1994", note = "Original problem in \cite{Knuth:1988:APA}.", } @Article{Nijenhuis:1993:SEP, author = "Albert Nijenhuis", title = "Solution to Elementary problem {E3267}, a solitaire game", journal = j-AMER-MATH-MONTHLY, volume = "100", number = "3", pages = "292--294", month = mar, year = "1993", ISSN = "0002-9890", bibdate = "Thu Sep 22 14:58:01 1994", note = "Original problem in \cite{Hayes:1988:EPE}.", } @Article{Adamchik:1997:SF, author = "Victor Adamchik and Stan Wagon", title = "A Simple Formula for $\pi$", journal = j-AMER-MATH-MONTHLY, volume = "104", number = "9", pages = "852--855", month = nov, year = "1997", CODEN = "AMMYAE", ISSN = "0002-9890", bibdate = "Thu Apr 29 15:56:59 1999", note = "The authors employ Mathematica to extend earlier work of Bailey, Borwein \cite{Borwein:1989:RME}, and Plouffe, \cite{Bailey:1997:RCV}, done in 1995, but only just published, that discovered an amazing formula for $\pi$ as is a power series in $16^{-k}$, enabling any base-16 digit of $\pi$ to be computed without knowledge of any prior digits. In this paper, Mathematica is used to find several simpler formulas having powers of $4^{-k}$. They also note that it has been proven that their methods cannot be used to exhibit similar formulas in powers of $10^{-k}$.", acknowledgement = ack-nhfb, } %======================================================================= % Cross-referenced entries must come last: @Article{Ortega:1964:GTM, author = "James M. Ortega", title = "Generation of test matrices by similarity transformations", journal = j-CACM, volume = "7", number = "6", pages = "377--378", month = jun, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782", MRclass = "65.35", MRnumber = "29\#5375", bibdate = "Tue May 28 07:10:52 1996", note = "See comment \cite{Ortega:1985:CMI}.", abstract = "A method for obtaining test matrices with a prescribed distribution of characteristic roots is given. The process consists of using particularly simple similarity transformations to generate full matrices from canonical forms. The matrices generated also have known characteristic vectors, inverses and determinants.", acknowledgement = ack-nhfb, } @Article{Knuth:1981:AMM, author = "Donald E. Knuth", title = "Algorithms in modern mathematics and computer science", journal = j-LNCS, volume = "122", pages = "82--99", year = "1981", ISSN = "0302-9743", bibdate = "Fri Sep 23 01:46:57 1994", note = "Russian translation by G.~S. Tse{\u\i}tin in {\sl Algoritmy v Sovremennoi Matematike i Ee Pri\-lozheni{\t\i{a}}kh}, Chast'~I (Novosibirsk: Akademi{\t\i{a}} Nauk SSSR, Sibirskoe Otdelenie, Vychislitel'ny{\u\i} Tsentr, 1982), 64--98. Revised version in \cite{Knuth:1985:ATM}.", } @Article{Bailey:1997:RCV, author = "David Bailey and Peter Borwein and Simon Plouffe", title = "On the rapid computation of various polylogarithmic constants", journal = j-MATH-COMPUT, volume = "66", number = "218", pages = "903--913", month = apr, year = "1997", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Yxx", MRnumber = "1 415 794", bibdate = "Wed Dec 03 19:28:24 1997", note = "See \cite{Adamchik:1997:SF,Borwein:1989:RME}.", URL = "http://www.ams.org/mcom/1997-66-218", acknowledgement = ack-nhfb, }