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BibTeX entry
@Article{Scott:1991:MCS,
author = "Thomas J. Scott",
title = "Mathematics and computer science at odds over real
numbers",
journal = j-SIGCSE,
volume = "23",
number = "1",
pages = "130--139",
month = mar,
year = "1991",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/107004.107029;
https://doi.org/10.1145/107005.107029",
ISBN = "0-89791-377-9",
ISBN-13 = "978-0-89791-377-5",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 18:57:15 MST 2012",
bibsource = "DBLP;
http://dblp.uni-trier.de/db/conf/sigcse/sigcse1991.html#Scott91;
http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/sigcse1990.bib",
note = "22nd SIGCSE Technical Symposium on Computer Science
Education.",
URL = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib;
ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/DBLP/1991.bib",
abstract = "Discusses the `real numbers' data type as implemented
by `floating point' numbers. Floating point
implementations and a theorem that characterizes their
truncations are presented. A teachable floating point
system is presented, chosen so that most problems can
be worked out with paper and pencil. Then major
differences between floating point number systems and
the continuous real number system are presented.
Important floating point formats are next discussed.
Two examples derived from actual computing practice on
mainframes, minicomputers, and PCs are presented. The
paper concludes with a discussion of where floating
point arithmetic should be taught in standard courses
in the ACM curriculum.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Western Illinois Univ., Macomb,
IL, USA",
classification = "C0220 (Education and training); C5230 (Digital
arithmetic methods)",
confdate = "7-8 March 1991",
conflocation = "San Antonio, TX, USA",
confsponsor = "ACM",
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
keywords = "ACM curriculum; Computer science; Floating point
arithmetic; Floating point formats; Floating point
number systems; Real number data types; Standard
courses; Teaching; Truncations",
thesaurus = "Computer science education; Data structures; Digital
arithmetic; Educational courses; Number theory",
}
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22(4)5,
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27(1)146,
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27(1)253,
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28(1)93,
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28(1)155,
28(1)195,
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28(3)2,
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31(1)119,
31(1)252,
31(1)346,
31(2)73,
31(3)5,
31(3)52,
31(3)198,
31(3)202,
31(4)70
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22(1)216,
22(4)55,
23(1)199,
24(1)107,
24(3)45,
26(1)218,
26(4)25,
27(1)131,
27(1)146,
27(1)322,
28(1)4,
28(4)59,
29(1)53,
29(1)67,
29(3)54,
29(4)30,
29(4)45,
30(1)40,
30(1)198,
30(1)341,
30(3)86,
30(3)199,
31(1)63,
31(1)68,
31(1)165,
31(1)170,
31(1)184,
31(1)237,
31(2)28,
31(3)99,
31(3)139,
31(3)204,
31(4)13
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25(1)304,
26(1)111,
26(1)397
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22(1)111,
22(4)29,
24(1)235,
24(3)53,
24(4)1,
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24(4)52,
25(1)300,
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29(1)6,
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31(2)73,
31(3)147,
31(3)175,
31(3)187,
31(3)199,
31(3)200,
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31(4)61,
31(4)106
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0(0)0,
1(0)0,
2(0)0,
3(0)0,
22(1)253,
23(4)27,
24(1)309,
24(4)1,
25(4)21,
26(0)xxii--414,
27(4)1,
27(4)13,
28(0)xxxii--441,
29(0)xxi--404,
29(1)340,
29(1)371,
30(0)xx--396,
30(0)0,
30(1)359,
30(1)368,
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31(0)xix--383,
31(1)343,
31(1)346,
31(2)17,
31(2)92,
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31(4)13,
31(4)35
- standard,
22(3)34,
23(2)51,
24(1)113,
24(1)142,
24(1)192,
24(1)197,
24(1)235,
24(2)2,
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27(2)31,
28(1)180,
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29(1)67,
29(1)72,
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31(2)51,
31(2)65,
31(2)73,
31(2)86,
31(3)79,
31(3)198,
31(3)200,
31(3)201
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0(0)0,
23(4)27,
24(1)309,
24(4)1,
26(0)xxii--414,
28(0)xxxii--441,
29(0)xxi--404,
30(0)xx--396,
30(0)0,
31(0)xix--383,
31(1)346,
31(2)17,
31(4)35
- taught,
22(1)216,
23(4)23,
24(1)53,
24(1)81,
24(1)181,
24(1)246,
24(2)55,
24(3)24,
25(2)19,
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26(1)41,
26(1)51,
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27(1)66,
27(1)149,
27(1)199,
27(1)268,
27(1)331,
27(4)9,
27(4)57,
27(4)60,
28(1)47,
28(1)78,
28(1)93,
28(1)378,
28(2)49,
28(3)51,
28(4)3,
28(4)25,
29(1)35,
29(1)131,
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30(1)63,
30(1)117,
30(1)166,
30(1)198,
30(1)217,
30(1)322,
30(1)365,
30(2)61,
30(3)37,
30(3)105,
30(3)139,
31(1)114,
31(1)170,
31(1)252,
31(1)281,
31(1)336,
31(2)42,
31(2)81,
31(3)84,
31(3)103,
31(3)175,
31(3)211,
31(4)13,
31(4)39,
31(4)61,
31(4)79
- teachable,
29(1)35
- technical,
0(0)0,
23(2)21,
23(4)27,
24(1)309,
24(2)2,
24(2)7,
24(3)51,
24(4)1,
26(0)xxii--414,
26(1)41,
26(2)52,
26(4)45,
27(1)248,
27(1)273,
28(0)xxxii--441,
28(1)102,
28(1)295,
28(2)49,
29(0)xxi--404,
29(1)1,
29(1)320,
29(1)390,
29(2)11,
29(3)6,
29(4)58,
30(0)xx--396,
30(0)0,
30(1)117,
30(1)140,
30(1)181,
30(1)252,
30(1)262,
30(3)25,
30(3)28,
30(3)285,
31(0)xix--383,
31(1)155,
31(1)189,
31(1)208,
31(1)237,
31(1)326,
31(2)17,
31(3)33,
31(3)115,
31(3)123,
31(4)13,
31(4)35,
31(4)106,
31(4)121
- then,
22(3)21,
22(4)5,
23(2)60,
23(3)36,
24(1)197,
24(1)207,
25(2)51,
26(1)111,
26(1)238,
26(1)281,
26(1)300,
26(2)9,
26(4)9,
27(1)248,
27(1)350,
27(2)25,
27(3)3,
27(4)51,
28(1)47,
28(1)217,
28(1)266,
28(2)3,
28(2)40,
28(3)2,
28(3)9,
29(1)39,
29(1)58,
29(1)219,
29(1)330,
29(2)7,
29(3)31,
30(1)6,
30(1)102,
30(1)166,
30(1)237,
30(1)287,
30(1)297,
30(1)302,
30(1)341,
30(1)365,
30(1)383,
30(2)28,
30(3)5,
30(3)37,
30(3)46,
30(3)55,
30(3)59,
30(3)90,
30(3)249,
30(3)260,
31(1)189,
31(1)336,
31(1)343,
31(1)346,
31(2)28,
31(2)84,
31(3)5,
31(3)9,
31(3)99,
31(3)123,
31(3)155,
31(4)13
- theorem,
22(3)21,
29(3)133,
30(3)302,
31(1)336
- training,
22(3)34,
22(4)55,
24(1)81,
26(1)329,
27(1)53,
27(1)71,
27(1)209,
28(1)117,
29(2)54,
30(1)350,
30(3)312,
31(1)346,
31(2)69,
31(3)9,
31(3)64,
31(3)71,
31(3)123
- type,
22(1)134,
22(1)219,
23(3)20,
24(1)192,
24(1)264,
24(1)309,
24(3)1,
24(4)15,
24(4)49,
24(4)52,
25(4)33,
26(1)76,
26(1)198,
26(1)203,
26(2)36,
26(2)57,
27(1)6,
27(1)24,
27(1)56,
27(1)102,
27(1)233,
27(1)317,
27(1)331,
27(2)7,
27(3)47,
27(3)50,
28(1)237,
28(1)368,
28(3)60,
29(1)44,
29(1)229,
29(1)287,
29(1)315,
29(1)340,
29(3)65,
30(1)126,
30(1)190,
30(1)198,
30(1)292,
30(1)302,
30(3)102,
30(3)185,
31(1)136,
31(1)311,
31(2)48,
31(2)60,
31(3)17,
31(3)68,
31(3)187,
31(4)61,
31(4)106
- where,
22(1)251,
22(3)7,
22(3)21,
23(2)29,
23(3)5,
23(4)51,
24(1)246,
24(2)59,
24(4)1,
25(1)300,
25(2)51,
25(3)45,
25(4)2,
25(4)41,
26(1)21,
26(1)92,
26(1)160,
26(1)218,
26(1)309,
26(1)314,
26(1)349,
27(1)1,
27(1)6,
27(1)19,
27(1)360,
27(3)7,
28(1)47,
28(1)295,
28(3)55,
28(4)8,
28(4)55,
29(1)101,
29(1)121,
29(1)145,
29(1)330,
30(1)30,
30(1)73,
30(1)176,
30(1)227,
30(1)378,
30(3)18,
30(3)153,
30(3)275,
31(1)27,
31(1)127,
31(1)170,
31(1)232,
31(1)346,
31(2)73,
31(3)99,
31(4)39
- worked,
28(1)98,
29(1)6,
30(2)36,
31(1)208,
31(2)69,
31(3)201