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It was produced automatically %% with the UNIX pipeline %% %% biblex xxx.bib | \ %% gawk -f keywords.awk | \ %% egrep 'entrytype$' | \ %% gawk -f fmtwords.awk >xxx.xwx %% %% by beebe@gamma.math.utah.edu on Tue Mar 19 09:20:42 MDT 2024 %%====================================================================== \ifx \NAMECITE \undefined % User can override this definition \def \NAMECITE #1#2{{\bf #1} \cite{#2}} \fi \NAMECITE{$ (a, b) \leftarrow \big (\frac {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $}{% Borwein:1989:MI% }. \NAMECITE{$1$}{% Bost:1988:MAG% }. \NAMECITE{$2$}{% Bost:1988:MAG,% Gaudry:2002:CCS,% Kinjo:2010:AAG,% Kinjo:2012:HSA% }. \NAMECITE{$3$}{% Lehavi:2007:EFA% }. \NAMECITE{{\$49.95}}{% Berndt:1988:BRJ% }. \NAMECITE{$B$}{% Sole:1998:LCA% }. \NAMECITE{$ D_4 $}{% Sole:1995:A% }. \NAMECITE{$e$}{% Hassani:2013:RAG,% Hassani:2014:AGM,% Yang:2001:AGM% }. \NAMECITE{$ E_6 $}{% Sole:1995:A% }. \NAMECITE{$ E_8 $}{% Sole:1995:A% }. \NAMECITE{$ \lambda $}{% Srivastava:2014:ICE% }. 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Bertot:2018:DDP% }. \NAMECITE{Forms}{% Bhatia:1993:MMF,% Koike:2008:EGA,% Yeh:2008:SEF% }. \NAMECITE{Formula}{% Lehavi:2007:EFA,% Seo:2012:AGM% }. \NAMECITE{Formulae}{% King:1921:SNF% }. \NAMECITE{formulas}{% Koike:2007:IFP,% Osler:2014:RFR% }. \NAMECITE{four}{% Borwein:1988:BFD% }. \NAMECITE{four-dimensional}{% Borwein:1988:BFD% }. \NAMECITE{Fraction}{% Borwein:2003:ACFa,% Borwein:2003:ACFb,% Borwein:2003:ACFc,% Borwein:2004:RAFa,% Borwein:2004:RAFb,% Lorentzen:2008:CDR% }. \NAMECITE{Fractions}{% Borwein:2004:RACa,% Borwein:2004:RACb,% Borwein:2004:RACc% }. \NAMECITE{France}{% Cohen:1995:AAA% }. \NAMECITE{{French}}{% Boldo:1999:CRE,% Bost:1988:MAG,% Henniart:1989:MAG,% Reyssat:1987:AMA% }. \NAMECITE{function}{% Brent:1976:MPZ,% Brent:2010:MPZ,% Mitrovic:1970:SII,% Morita:1971:CLG,% Nishimura:2015:NPL,% Plaza:2022:FBP,% Sala:1989:TJA% }. \NAMECITE{function-based}{% Plaza:2022:FBP% }. \NAMECITE{functional}{% Maksa:2010:ETF,% Zulauf:1986:SFE% }. \NAMECITE{functionals}{% Lecko:2011:DSA% }. \NAMECITE{Functions}{% Borwein:1984:AGM,% Borwein:1997:AGMa,% Borwein:2000:AGM,% Borwein:2004:AGMa,% Brent:1975:FMP,% Brent:1976:FMP,% Brent:2006:FAH,% King:1924:DNC,% King:2007:DNC,% Luther:1996:CAG,% Aujla:2007:EIC,% Baricz:2013:TTI,% Boldo:1999:CRE,% Borwein:2016:AGM,% Brent:2010:UAE,% Brent:2016:FMP,% Dupont:2011:FEM,% Garvan:1994:CMI,% Gasharov:1997:SFT,% Hirzallah:2016:SVC,% Joseph:1999:AMG,% Kum:2012:GMP,% Najafi:2013:SRK,% Srivastava:2014:ICE,% Tkachev:2003:EFI,% Tricomi:1966:RUS,% Wachspress:2000:EEF% }. \NAMECITE{{Galois}}{% Carls:2011:GTC% }. \NAMECITE{gamma}{% Glaser:1976:RGM,% Nandi:1980:EDN% }. \NAMECITE{Gaus}{% Schlesinger:1911:GJA% }. \NAMECITE{{Gauss}}{% Almkvist:1988:GLR,% Almkvist:2016:GLR,% Borwein:1987:AGM,% Borwein:1988:AGMa,% Borwein:1988:AGMb,% Borwein:1988:AGMc,% Borwein:1988:AGMd,% Borwein:1988:AGMe,% Chu:2013:STP,% Cox:1984:AGM,% Cox:1985:GAG,% Cox:1997:AGM,% Cox:2000:AGM,% Cox:2004:AGM,% Cox:2016:AGM,% Haruki:1991:NCA,% Koike:2008:EGA,% Maksa:2010:ETF,% Nishiwada:1988:HSA,% Nishiwada:1994:HSA,% Ono:1983:GGT,% Sandor:1999:AGM,% Schlesinger:1911:GJA,% Sury:2000:AGM,% Tanimoto:2007:NOA% }. \NAMECITE{{Gaussian}}{% Wang:2016:OBG% }. \NAMECITE{General}{% Schaumberger:1988:GFA% }. \NAMECITE{generalibus}{% Gauss:1917:OPG% }. \NAMECITE{generalis}{% Gauss:1992:AGM% }. \NAMECITE{generalization}{% Ekart:2001:NGA,% Fink:1976:GAG,% Heinrich:1981:VAG,% Hering:1972:GAG,% Hunter:1956:GIA,% Ono:1983:GGT,% Tricomi:1965:SID% }. \NAMECITE{Generalizations}{% Katsuura:2003:GAG,% Nussbaum:1988:AGM,% Nussbaum:1990:CPG% }. \NAMECITE{Generalized}{% Borwein:1983:GAG,% Borwein:1984:GAG,% Everitt:1963:IGA,% Passy:1971:GWM,% Schoen:1984:HGA,% Taneja:2006:GAG,% Xie:2002:SGA,% Chu:2013:IAG,% Ding:2017:OBA,% Long:2010:OIG,% Long:2011:OGL,% Matejicka:2010:POO,% Spandaw:2012:HIG,% Wang:2014:NSC,% Zhang:2011:IGM% }. \NAMECITE{Generalizing}{% Peetre:1989:GAG% }. \NAMECITE{generalizzazione}{% Tricomi:1965:SID% }. \NAMECITE{generated}{% Szyszkowicz:1991:PGL% }. \NAMECITE{generation}{% Bailey:2016:PNG% }. \NAMECITE{genre}{% Bost:1988:MAG% }. \NAMECITE{Genus}{% Lehavi:2007:EFA,% Bost:1988:MAG,% Donagi:1999:AGM,% Jarvis:2008:HGA% }. \NAMECITE{Geometic}{% Montuchi:1988:BTE% }. \NAMECITE{Geometric}{% Akerberg:1963:CNP,% Almkvist:1988:GLR,% Alsina:2000:PWA,% Bayat:2011:AGM,% Bencze:1993:NPAb,% Bhatia:1993:MMF,% Borwein:1983:GAG,% Borwein:1984:AGM,% Borwein:1984:GAG,% Borwein:1996:AGM,% Borwein:1997:AGMa,% Borwein:1997:AGMb,% Borwein:2000:AGM,% Borwein:2004:AGMa,% Burk:1987:NGL,% Butter:1936:CTA,% Cardoso:2016:MAG,% Carlson:1970:IMA,% Carlson:1971:AIA,% Cox:1997:AGM,% Cox:2000:AGM,% Cox:2004:AGM,% Cusmariu:1981:MNP,% Diananda:1960:CNS,% Everitt:1963:IGA,% Gaines:1967:AMG,% Gencev:2018:PIB,% Gluskin:2003:NGA,% Graham:2020:EPA,% Horn:1995:NBH,% Katsuura:2003:GAG,% Kaufmann:1996:IBMa,% Kosaki:1998:AGM,% Kosheleva:2009:GNJ,% Lehavi:2007:EFA,% Luther:1996:CAG,% Meany:1971:BRB,% Minassian:1987:NAG,% Nelsen:1987:PWH,% Nelsen:1989:RMS,% Nelsen:2015:PWT,% Neuman:1996:TIA,% OShea:1968:MNA,% Osler:2014:RFR,% Perisastry:1982:BRA,% Salamin:1976:CUA,% Salamin:1997:CUA,% Salamin:2000:CUA,% Salamin:2004:CUA,% Schattschneider:1986:PWA,% Schaumberger:1978:CPA,% Schaumberger:1982:SAP,% Schaumberger:1988:GFA,% Schoen:1984:HGA,% Toader:1998:SMV,% Wang:2011:SDI,% Wang:2012:SDI,% Xie:2002:SGA,% Yang:2001:AGM,% Abriata:1979:CTP,% Adiyasuren:2016:RAG,% Aiyer:1945:AGM,% Albadawi:2012:SVA,% Aldaz:2008:RIB,% Aldaz:2009:SII,% Aldaz:2010:CRB,% Aldaz:2011:CDB,% Aldaz:2012:SBD,% Alic:1997:AGH,% Alic:1997:GAM,% Almkvist:1978:AGM,% Almkvist:2016:GLR,% Alzer:1987:UZG,% Alzer:1988:UGA,% Alzer:1989:RAM,% Alzer:1990:CAM,% Alzer:1990:GGA,% Alzer:1990:IAG,% Alzer:1990:LBD,% Alzer:1990:SAM,% Alzer:1990:WAG,% Alzer:1991:NAM,% Alzer:1992:IPA,% Alzer:1992:SAM,% Alzer:1994:NSA,% Alzer:1995:DII,% Alzer:1996:PAM,% Alzer:1997:NRA,% Alzer:1999:SIA,% Alzer:2002:AMG,% Ando:1983:AGH,% Audenaert:2015:IBA,% Ba:1997:SMA,% Bajpai:1978:SAG,% Barnard:2007:IHA,% Bellissima:2014:AGH,% Bellman:1956:AGM,% Bencze:1993:NPAa,% Bencze:1994:NPW% }. \NAMECITE{geometric}{% Bencze:1995:NPA,% Bencze:1998:NPA,% Bhatia:2000:NMA,% Bhatia:2006:IAG,% Bhatia:2008:MAG,% Bini:2011:NCM,% Boldo:1999:CRE,% Borwein:1987:AGM,% Borwein:1988:AGMa,% Borwein:1988:AGMb,% Borwein:1988:AGMc,% Borwein:1988:AGMd,% Borwein:1988:AGMe,% Borwein:1988:BFD,% Borwein:1989:PAG,% Borwein:1993:HAA,% Borwein:2016:AGM,% Bracken:2001:AGM,% Bullen:1967:SMI,% Bullen:2004:GAM,% Bullett:1991:DAG,% Buric:2015:AEA,% Carlson:1971:MAG,% Cartwright:1978:RAM,% Carvalhaes:2008:APS,% Casquilho:2011:MDA,% Chang:2017:AGM,% Charzynski:2002:IBA,% Cheon:2009:RBS,% Choi:2017:IRA,% Chong:1976:AMG,% Chong:1977:AMG,% Chu:2011:OCC,% Chu:2011:OIB,% Chu:2012:IBA,% Chu:2012:OLM,% Chu:2013:IAG,% Chu:2013:STP,% Chu:2015:OBF,% Chuan:1990:NIA,% Chung:2012:VAG,% Cohen:1987:AGM,% Cohen:1992:RAG,% Cox:1984:AGM,% Cox:1985:GAG,% Cox:2016:AGM,% Crisan:2013:DSI,% Dijkstra:1992:AMG,% Dijkstra:1994:AAA,% Dijkstra:1996:AAA,% Dijkstra:1996:AGM,% Ding:2017:OBA,% Dmitrieva:1997:FAB,% Dobbs:2001:PAG,% Donagi:1999:AGM,% Dragomir:1993:ETR,% Dragomir:1993:TRA,% Dragomir:1997:SMA,% Dragomir:1998:IAG,% Dragomir:1999:CAM,% Dzhaparidze:1994:SAI,% Ekart:2001:NGA,% Everitt:1967:LPA,% Everitt:1969:CLP,% Feng:1995:RAG,% Feng:2008:MVS,% Fink:1976:GAG,% Fink:1981:WAG,% Fournier:1999:EGA,% Freour:2011:MCS,% Friedrich:2012:RGM,% Fujii:2016:RDM,% Furuichi:2014:OIA,% Furuta:1994:NAG,% Gao:2015:DWM,% Garvan:1994:CMI,% Gasharov:1997:SFT,% Gauss:1992:AGM,% Georgakis:2002:IAG,% Geppert:1928:TAG,% Glaser:1976:RGM,% Gong:2012:SDI,% Griffiths:2017:AGM,% Gumus:2011:SVI,% Gumus:2013:IAG,% Guo:2003:IMR,% Guo:2016:SBN,% Hao:1993:RAG,% Hao:2000:CIA,% Haruki:1991:NCA,% Hassani:2013:AGM,% Hassani:2013:RAG,% Hassani:2014:AGM,% Hayashi:2009:NCA,% He:2012:IAG,% He:2012:OIB,% Heinrich:1981:VAG,% Henniart:1989:MAG,% Hering:1972:GAG,% Hirzallah:2016:SVC,% Holland:2006:IBC% }. \NAMECITE{geometric}{% Huda:1986:ESE,% Hunter:1956:GIA,% Huntington:1927:SIP,% Iannazzo:2017:RBB,% Israel:2016:AGM,% Ito:2008:MAG,% Jameson:2014:AAG,% Jameson:2018:RNA,% Jarvis:2008:HGA,% Joseph:1999:AMG,% Kanas:1996:UCC,% Kanas:1998:UCC,% Kaufmann:1996:IBMb,% Kedlaya:1994:PMA,% Kim:2007:CIH,% Kim:2009:SCI,% Kim:2011:MGM,% Kinjo:2010:AAG,% Kinjo:2012:HSA,% Kinjo:2013:HSA,% Kittaneh:1992:NAG,% Kittaneh:2012:IAG,% Klamkin:1968:ICA,% Knockaert:2003:BUB,% Kober:1958:AGM,% Koike:2007:IFP,% Krafft:1979:RGA,% Kum:2012:GMP,% Kwon:2000:AGM,% Kwon:2000:ATB,% Landsberg:1978:TPI,% Latala:1999:EBG,% Lecko:2011:DSA,% Lekner:2009:ASC,% Leng:2015:SUB,% Lingappaiah:1991:DRG,% Liu:1994:GLA,% Liu:2006:OTA,% Liu:2013:SBS,% Loewner:1970:DBG,% Long:2010:OIG,% Long:2011:OGL,% Lucht:1995:AGM,% Maksa:2010:ETF,% Martins:1988:AGM,% Matejicka:2010:POO,% Mathias:1993:AGH,% Mathias:1995:EAG,% Matsuda:1995:IPM,% Matsumoto:2010:AGM,% Maze:2012:NWH,% Mercer:2003:RAG,% Micic:2008:IIA,% Mihesan:2005:RPT,% Mitrinovic:1966:ICA,% Mitrovic:1970:SII,% Molnar:2011:CMM,% Monhor:2003:AGM,% Morita:1972:CAG,% Murthy:1997:AMG,% Nakamura:2001:AAA,% Nandi:1980:EDN,% Nanjundiah:1946:IRA,% Nishiwada:1988:HSA,% Nishiwada:1994:HSA,% Nishiwada:1997:AAG,% Nussbaum:1988:AGM,% Nussbaum:1990:CPG,% Ono:1983:GGT,% Oppenheim:1965:ICA,% Oppenheim:1968:ICA,% Ovesea-Tudor:2004:UCC,% Pecaric:1995:RSA,% Pecaric:1997:AMG,% Pecaric:1997:NPA,% Peetre:1989:GAG,% Pinelis:2015:EUL,% Plaza:2022:FBP,% Qi:2003:IMRa,% Qi:2003:IMRb,% Qi:2009:AUP,% Qian:2014:OBN,% Qian:2015:SBS,% Raissouli:2009:AGH,% Rauch:1942:MPS,% Razpet:1986:MAG,% Reyssat:1987:AMA,% Rodin:2017:VIA,% Roy:1992:CBA,% Roy:2003:CBW,% Ruan:2015:NAG,% Sabnis:2006:AAG,% Sagae:1994:ULB,% Sala:1989:TJA,% Salamin:2016:CUA,% Sampedro:1999:DIP,% Sandor:1990:IAG,% Sandor:1999:AGM,% Schaumberger:1977:APA,% Schlesinger:1911:GJA% }. \NAMECITE{geometric}{% Seiffert:1987:WZG,% Seiffert:1997:TIA,% Sen:1987:WDA,% Seo:2012:AGM,% Shao:2013:SRI,% Sheikhhosseini:2016:NRV,% Sheikhhosseini:2017:AGM,% Shisha:1966:GII,% Solak:2010:NEN,% Spandaw:2012:HIG,% Srivastava:2014:ICE,% Stefanski:1996:NAG,% Stubban:1944:AGM,% Sury:2000:AGM,% Taneja:2006:GAG,% Tanimoto:2007:NOA,% Torrent:1956:NEC,% Tung:1975:LUB,% Uchida:2008:SPG,% Vasic:1972:ICA,% Walden:2007:HMI,% Wang:1988:IRA,% Wang:1999:SLT,% Wang:2014:BPE,% Wang:2014:NSC,% Wang:2016:OBG,% Wazwaz:1991:MNM,% Wilf:1963:SAI,% Wu:2017:NYA,% Xia:2012:OOP,% Xu:2015:RSP,% Xue:2017:RWA,% Yamamoto:2010:HGA,% Yamazaki:2006:EKI,% Yamazaki:2013:EPA,% Yang:2000:AGM,% Yang:2014:OGC,% Yang:2014:SBA,% Yang:2014:SBS,% Yeh:2008:SEF,% Zhang:2011:IGM,% Zhao:2014:OII,% Zou:2015:IAG,% Zou:2015:RAG,% Zou:2016:NIB,% Zou:2017:AGM,% Zou:2019:UAG,% Zulauf:1986:SFE,% Zuo:2014:UBS,% Zuo:2015:IRA,% dalahu:1996:AIA,% Eddy:1985:BAG,% Nelsen:1995:PWA,% Bost:1988:MAG% }. \NAMECITE{geometric-harmonic}{% Mathias:1993:AGH,% Mathias:1995:EAG,% Sagae:1994:ULB,% Stefanski:1996:NAG% }. \NAMECITE{geometric-harmonic-mean}{% Ando:1983:AGH% }. \NAMECITE{geometric-mean}{% Griffiths:2017:AGM,% Joseph:1999:AMG,% Kedlaya:1994:PMA,% Kittaneh:1992:NAG,% Wang:1999:SLT% }. \NAMECITE{geom{\'e}trica}{% Gauss:1992:AGM% }. \NAMECITE{Geometrical}{% Shisha:1966:GII% }. \NAMECITE{geometricorum}{% Gauss:1917:OPG,% Gauss:1992:AGM% }. \NAMECITE{g{\'e}om{\'e}trique}{% Boldo:1999:CRE,% Bost:1988:MAG,% Henniart:1989:MAG% }. \NAMECITE{g{\'e}om{\'e}triques}{% Reyssat:1987:AMA% }. \NAMECITE{geometrische}{% Alzer:1988:UGA,% Alzer:1990:GGA% }. \NAMECITE{geometrischen}{% Alzer:1987:UZG,% Geppert:1928:TAG,% Heinrich:1981:VAG,% Schlesinger:1911:GJA,% Seiffert:1987:WZG% }. \NAMECITE{geometriska}{% Almkvist:1978:AGM% }. \NAMECITE{geometry}{% Dobbs:2001:PAG% }. \NAMECITE{{German}}{% Alzer:1987:UZG,% Alzer:1988:UGA,% Alzer:1990:GGA,% Geppert:1928:TAG,% Heinrich:1981:VAG,% Schlesinger:1911:GJA,% Seiffert:1987:WZG% }. \NAMECITE{Germany}{% Alefeld:1996:SCV,% Broy:1996:DPD% }. \NAMECITE{gewichtete}{% Alzer:1990:GGA% }. \NAMECITE{{Gini}}{% Chu:2012:IBA% }. \NAMECITE{{GM}}{% Bakherad:2016:RRG,% Barratt:2012:IPC,% Hajja:2020:MPG,% Hirschhorn:2007:GI,% Hoffmann:2016:WGI,% Mahmoudi:2020:GIG,% Maligranda:2012:GIE,% Sawhney:2017:TPG,% Schaumberger:1989:GI,% Shirali:2011:BPG% }. \NAMECITE{{GM}-Based}{% Moustrou:2022:SRG% }. \NAMECITE{good}{% Thurston:1972:HGU% }. \NAMECITE{Gradient}{% Mahmoudi:2020:GIG% }. \NAMECITE{graphs}{% Berndt:1988:BRJ% }. \NAMECITE{{Green}}{% Morita:1971:CLG% }. \NAMECITE{growth}{% Agarwal:2016:BGC% }. \NAMECITE{Guarantees}{% Bertot:2018:DDP% }. \NAMECITE{Guesstimation}{% Kosheleva:2009:GNJ% }. \NAMECITE{{Hadamard}}{% Horn:1995:NBH,% Mathias:1993:AGH,% Mathias:1995:EAG% }. \NAMECITE{hapless}{% Peetre:1989:GAG% }. \NAMECITE{Harmonic}{% Foster:1984:AHM,% Nelsen:1987:PWH,% Nelsen:1989:RMS,% Plaza:2020:HLA,% Schoen:1984:HGA,% Yamamoto:2010:HGA,% Alic:1997:AGH,% Alzer:1990:IAG,% Alzer:1990:WAG,% Alzer:1995:DII,% Ando:1983:AGH,% Bellissima:2014:AGH,% Casquilho:2011:MDA,% Choi:2017:IRA,% Chu:2011:OIB,% Dragomir:1999:CAM,% Furuichi:2014:OIA,% He:2012:OIB,% Huntington:1927:SIP,% Kim:2011:MGM,% Klamkin:1968:ICA,% Kum:2012:GMP,% Long:2011:OGL,% Mathias:1993:AGH,% Mathias:1995:EAG,% Maze:2012:NWH,% Mercer:2003:RAG,% Nakamura:2001:AAA,% Plaza:2022:FBP,% Qian:2015:SBS,% Raissouli:2009:AGH,% Roy:1992:CBA,% Roy:2003:CBW,% Sagae:1994:ULB,% Sen:1987:WDA,% Shisha:1966:GII,% Solak:2010:NEN,% Stefanski:1996:NAG,% Walden:2007:HMI,% Wang:2014:BPE,% Wang:2014:NSC,% Yang:2014:OGC% }. \NAMECITE{harmonic-mean}{% Alic:1997:AGH% }. \NAMECITE{{Heinz}}{% Gumus:2011:SVI,% He:2012:IAG,% Kittaneh:2012:IAG,% Zhao:2014:OII% }. \NAMECITE{held}{% Alefeld:1996:SCV,% Broy:1996:DPD,% Traub:1976:ACC% }. \NAMECITE{{Hellinger}}{% Dzhaparidze:1994:SAI% }. \NAMECITE{{Heron}}{% Zhao:2014:OII% }. \NAMECITE{Heuristic}{% Kosheleva:2009:GNJ% }. \NAMECITE{heuristics}{% Dijkstra:1994:AAA,% Dijkstra:1996:AAA% }. \NAMECITE{High}{% Brent:2006:FAH% }. \NAMECITE{High-Precision}{% Brent:2006:FAH% }. \NAMECITE{Higher}{% Jarvis:2008:HGA,% Donagi:1999:AGM,% Kim:2007:CIH% }. \NAMECITE{{Hilbert}}{% Kittaneh:2012:IAG,% Zuo:2015:IRA% }. \NAMECITE{history}{% Bailey:2016:PNG% }. \NAMECITE{{H{\"o}lder}}{% Kober:1958:AGM,% Maligranda:1998:WHI,% Zou:2019:UAG% }. \NAMECITE{Holomorphic}{% Nishiwada:1994:HSA,% Nishiwada:1988:HSA% }. \NAMECITE{Hyperelliptic}{% Spandaw:2012:HIG,% Matsumoto:2010:AGM% }. \NAMECITE{Hypergeometric}{% Borwein:1993:HAA,% Kinjo:2012:HSA,% Kinjo:2013:HSA,% Baricz:2013:TTI,% Barnard:2007:IHA,% Garvan:1994:CMI% }. \NAMECITE{identities}{% Garvan:1994:CMI% }. \NAMECITE{Identity}{% Borwein:1988:CCJ,% Singh:2016:PAL,% Bayat:2011:AGM,% Borwein:1991:CCJ% }. \NAMECITE{Identric}{% Neuman:1996:TIA,% Seiffert:1997:TIA% }. \NAMECITE{{II}}{% Borwein:2004:RAFb,% Kanas:1996:UCC,% Nanjundiah:1946:IRA,% Nishiwada:1994:HSA,% Oppenheim:1968:ICA,% Sandor:1996:CIM% }. \NAMECITE{{III}}{% Aiyer:1945:AGM% }. \NAMECITE{imperfect}{% Chang:2017:AGM,% Ouyang:2013:OPL% }. \NAMECITE{Improved}{% Kittaneh:2012:IAG,% Zou:2015:IAG,% Zuo:2015:IRA,% Gumus:2013:IAG,% He:2012:IAG% }. \NAMECITE{improvement}{% Aldaz:2009:SII,% Dragomir:1998:IAG% }. \NAMECITE{inaccessible}{% Bailey:2016:CPI% }. \NAMECITE{included}{% Dijkstra:1994:AAA,% Dijkstra:1996:AAA% }. \NAMECITE{independent}{% Huntington:1927:SIP% }. \NAMECITE{Induction}{% King:1921:SNF,% Zhang:1996:AMI% }. \NAMECITE{inductive}{% Barratt:2012:IPC,% Matsuda:1995:IPM,% Sampedro:1999:DIP% }. \NAMECITE{Ineqality}{% Nelsen:1987:PWH% }. \NAMECITE{Inequalities}{% Alzer:1990:IAG,% Alzer:1992:IPA,% Borwein:1993:ICM,% Choi:2017:IRA,% Chu:2012:IBA,% Chu:2013:IAG,% Guo:2003:IMR,% Klamkin:1968:ICA,% Kosaki:1998:AGM,% Micic:2008:IIA,% Nanjundiah:1946:IRA,% Neuman:1996:TIA,% Qi:2003:IMRa,% Qi:2003:IMRb,% Sandor:1996:CIM,% Vamanamurthy:1994:IM,% Wang:1988:IRA,% Albadawi:2012:SVA,% Alic:1997:AGH,% Alzer:1995:DII,% Alzer:1999:SIA,% Ando:1983:AGH,% Audenaert:2015:IBA,% Aujla:2007:EIC,% Ba:1997:SMA,% Baricz:2013:TTI,% Barnard:2007:IHA,% Bhatia:2000:NMA,% Bullen:1967:SMI,% Buric:2015:AEA,% Chu:2011:OIB,% Furuichi:2009:TIP,% Furuichi:2014:OIA,% Gumus:2011:SVI,% Gumus:2013:IAG,% He:2012:IAG,% He:2012:OIB,% Ito:2008:MAG,% Kittaneh:1994:SOI,% Kittaneh:1999:SNI,% Kittaneh:2012:IAG,% Liu:1994:GLA,% Long:2010:OIG,% Maze:2012:NWH,% Mercer:2003:RAG,% Mihesan:2005:RPT,% Mitrovic:1970:SII,% Najafi:2013:SRK,% Oppenheim:1965:ICA,% Oppenheim:1968:ICA,% Pecaric:1997:AMG,% Plaza:2022:FBP,% Seiffert:1997:TIA,% Shisha:1966:GII,% Stefanski:1996:NAG,% Tao:2006:MRS,% Vasic:1972:ICA,% Wang:2014:NSC,% Wu:2005:SRE,% Wu:2017:NYA,% Xue:2017:RWA,% Yang:2000:AGM,% Zhao:2014:OII,% Zou:2016:NIB,% Zou:2019:UAG,% Zuo:2015:IRA,% Alzer:1988:UGA% }. \NAMECITE{Inequality}{% Akerberg:1963:CNP,% Alsina:2000:PWA,% Bencze:1993:NPAb,% Bhatia:1993:MMF,% Braden:1992:IAL,% Burk:1987:NGL,% Carlson:1970:IMA,% Carlson:1991:IAL,% Cusmariu:1981:MNP,% Diananda:1960:CNS,% Everitt:1963:IGA,% Gaines:1967:AMG,% Gencev:2018:PIB,% Gluskin:2003:NGA,% Graham:2020:EPA,% Hoffmann:2016:WGI,% Horn:1995:NBH,% Katsuura:2003:GAG,% Mahmoudi:2020:GIG,% Maligranda:2012:GIE,% Meany:1971:BRB,% Minassian:1987:NAG,% Nelsen:1989:RMS,% Nelsen:2015:PWT,% OShea:1968:MNA,% Sawhney:2017:TPG,% Schattschneider:1986:PWA,% Schaumberger:1978:CPA,% Schaumberger:1982:SAP,% Schaumberger:1988:GFA,% Schaumberger:1989:GI,% Shirali:2011:BPG,% Wang:2011:SDI,% Wang:2012:SDI,% Yang:2001:AGM,% Abriata:1979:CTP,% Adiyasuren:2016:RAG,% Aldaz:2008:RIB,% Aldaz:2009:SII,% Alic:1997:GAM,% Alzer:1987:UZG,% Alzer:1989:RAM,% Alzer:1990:CAM,% Alzer:1990:SAM,% Alzer:1991:NAM,% Alzer:1992:SAM,% Alzer:1996:PAM,% Alzer:1997:NRA,% Alzer:2002:AMG,% Bakherad:2016:RRG,% Bellman:1956:AGM,% Bencze:1993:NPAa,% Bencze:1994:NPW,% Bencze:1995:NPA,% Bencze:1998:NPA,% Bhatia:2006:IAG,% Bhatia:2008:MAG,% Bracken:2001:AGM,% Bullen:2004:GAM,% Cartwright:1978:RAM,% Chang:2017:AGM,% Charzynski:2002:IBA,% Cheon:2009:RBS,% Chong:1976:AMG,% Chong:1977:AMG,% Chuan:1990:NIA,% Dobbs:2001:PAG,% Dragomir:1993:ETR,% Dragomir:1993:TRA,% Dragomir:1998:IAG,% Dragomir:1999:CAM,% Everitt:1967:LPA,% Everitt:1969:CLP,% Feng:1995:RAG,% Feng:2008:MVS,% Fink:1976:GAG,% Fink:1981:WAG,% Fournier:1999:EGA,% Fujii:2016:RDM,% Furuta:1994:NAG,% Gao:2015:DWM,% Georgakis:2002:IAG,% Gong:2012:SDI,% Hajja:2020:MPG,% Hao:1993:RAG,% Hao:2000:CIA,% Hassani:2013:AGM,% Hayashi:2009:NCA,% Hering:1972:GAG,% Hirschhorn:2007:GI,% Hirzallah:2016:SVC,% Holland:2006:IBC,% Hunter:1956:GIA,% Israel:2016:AGM,% Joseph:1999:AMG,% Kedlaya:1994:PMA,% Kim:2007:CIH,% Kim:2009:SCI,% Kittaneh:1992:NAG% }. \NAMECITE{inequality}{% Knockaert:2003:BUB,% Kober:1958:AGM,% Krafft:1979:RGA,% Kwon:2000:AGM,% Landsberg:1978:TPI,% Liu:2006:OTA,% Lucht:1995:AGM,% Matejicka:2010:POO,% Mathias:1993:AGH,% Mathias:1995:EAG,% Matsuda:1995:IPM,% Mitrinovic:1966:ICA,% Murthy:1997:AMG,% Pecaric:1995:RSA,% Pecaric:1997:NPA,% Qi:2009:AUP,% Rodin:2017:VIA,% Rooin:2003:AIB,% Ruan:2015:NAG,% Sabnis:2006:AAG,% Sampedro:1999:DIP,% Sandor:1990:IAG,% Schaumberger:1977:APA,% Seo:2012:AGM,% Sheikhhosseini:2017:AGM,% Uchida:2008:SPG,% Wang:1999:SLT,% Wilf:1963:SAI,% Yamazaki:2006:EKI,% Yamazaki:2013:EPA,% Yeh:2008:SEF,% Zou:2015:IAG,% Zou:2015:RAG,% Zou:2017:AGM,% dalahu:1996:AIA,% Eddy:1985:BAG,% Maligranda:1998:WHI,% Montuchi:1988:BTE,% Nelsen:1995:PWA,% Todd:1992:BRB% }. \NAMECITE{Initial}{% Srivastava:2014:ICE% }. \NAMECITE{Institute}{% Broy:1996:DPD% }. \NAMECITE{integers}{% Hassani:2014:AGM,% Krafft:1979:RGA% }. \NAMECITE{integrable}{% Nakamura:2001:AAA% }. \NAMECITE{integral}{% Wang:2016:OBG% }. \NAMECITE{Integrals}{% King:1924:DNC,% King:2007:DNC,% Arndt:2010:AEI,% Dzhaparidze:1994:SAI,% Morita:1972:CAG,% Spandaw:2012:HIG% }. \NAMECITE{Interaction}{% Kaufmann:1996:IBMa,% Kaufmann:1996:IBMb% }. \NAMECITE{International}{% Alefeld:1996:SCV,% Cohen:1995:AAA% }. \NAMECITE{Interpolating}{% Audenaert:2015:IBA,% Bhatia:2006:IAG% }. \NAMECITE{interpolation}{% Dzhaparidze:1994:SAI,% Zou:2016:NIB% }. \NAMECITE{interpretation}{% Walden:2007:HMI% }. \NAMECITE{interpretations}{% Shisha:1966:GII% }. \NAMECITE{Introduction}{% Tkachev:2003:EFI% }. \NAMECITE{invariance}{% Zhang:2011:IGM% }. \NAMECITE{Invariant}{% Horn:1995:NBH,% Furuta:1994:NAG,% Zou:2019:UAG% }. \NAMECITE{inventory}{% Cardenas-Barron:2010:EMD,% Chang:2014:API% }. \NAMECITE{inverses}{% Wachspress:2000:EEF% }. \NAMECITE{Involving}{% Carlson:1971:AIA,% Alzer:1995:DII,% Bullen:1967:SMI,% Crisan:2013:DSI,% Maksa:2010:ETF,% Mathias:1993:AGH,% Mathias:1995:EAG,% Micic:2008:IIA,% Mitrovic:1970:SII,% Shao:2013:SRI,% Zhao:2014:OII% }. \NAMECITE{Irreducibility}{% Hadjidimos:2012:IEO% }. \NAMECITE{isogenies}{% Donagi:1999:AGM% }. \NAMECITE{Isogeny}{% Koike:2007:IFP% }. \NAMECITE{{Italian}}{% Tricomi:1965:SID% }. \NAMECITE{items}{% Chang:2014:API% }. \NAMECITE{Iteration}{% Borwein:1989:MI,% Borwein:1993:HAA,% Garvan:1994:CMI% }. \NAMECITE{Iterations}{% Borwein:1993:ICM,% Sole:1998:LCA,% Dupont:2011:FEM% }. \NAMECITE{iterative}{% Buric:2016:AAI,% Tricomi:1965:SID% }. \NAMECITE{iterativo}{% Tricomi:1965:SID% }. \NAMECITE{{Jacobi}}{% Borwein:1988:CCJ,% Borwein:1991:CCJ% }. \NAMECITE{{Jacobian}}{% Sala:1989:TJA% }. \NAMECITE{Jellyfish}{% Griffin:2023:AJS% }. \NAMECITE{{Jensen}}{% Zuo:2014:UBS% }. \NAMECITE{Jonathan}{% Wimp:1988:BRP,% Askey:1988:BRP,% Bailey:2020:AVC,% Berndt:1988:BRJ,% Brent:2017:JBP% }. \NAMECITE{Jugendarbeiten}{% Schlesinger:1911:GJA% }. \NAMECITE{July}{% Broy:1996:DPD,% Cohen:1995:AAA% }. \NAMECITE{Justification}{% Kosheleva:2009:GNJ% }. \NAMECITE{{Kantorovich}}{% Yamazaki:2006:EKI% }. \NAMECITE{known}{% Haruki:1991:NCA% }. \NAMECITE{{Kr{\"o}ner}}{% Freour:2011:MCS% }. \NAMECITE{{Kwong}}{% Najafi:2013:SRK% }. \NAMECITE{{{{Ladies}}}}{% Almkvist:1988:GLR,% Almkvist:2016:GLR% }. \NAMECITE{{Landen}}{% Almkvist:1988:GLR,% Almkvist:2016:GLR% }. \NAMECITE{{Latin}}{% Gauss:1917:OPG% }. \NAMECITE{lattice}{% Morita:1971:CLG% }. \NAMECITE{Lattices}{% Sole:1998:LCA,% Morita:1971:CLG% }. \NAMECITE{law}{% Wang:1999:SLT% }. \NAMECITE{Lectures}{% Tricomi:1966:RUS% }. \NAMECITE{Legacy}{% Bailey:2020:AVC% }. \NAMECITE{{Legendre}}{% Borwein:1987:AGM,% Borwein:1988:AGMa,% Borwein:1988:AGMb,% Borwein:1988:AGMc,% Borwein:1988:AGMd,% Borwein:1988:AGMe,% Singh:2016:PAL% }. \NAMECITE{{Lehmer}}{% Chu:2012:OLM,% Wang:2011:SDI,% Wang:2012:SDI% }. \NAMECITE{lemniscate}{% Nishimura:2015:NPL% }. \NAMECITE{length}{% Almkvist:1978:AGM,% Sen:1987:WDA% }. \NAMECITE{length-biased}{% Sen:1987:WDA% }. \NAMECITE{Li}{% Yamazaki:2006:EKI% }. \NAMECITE{Life}{% Bailey:2020:AVC% }. \NAMECITE{like}{% Bajpai:1978:SAG% }. \NAMECITE{limit}{% Everitt:1967:LPA,% Everitt:1969:CLP% }. \NAMECITE{limits}{% Nishiwada:1997:AAG% }. \NAMECITE{line}{% Iannazzo:2017:RBB% }. \NAMECITE{linear}{% Nussbaum:1988:AGM,% Mathias:1995:EAG% }. \NAMECITE{locate}{% Chung:2012:VAG% }. \NAMECITE{Log}{% Borwein:1984:RCC,% Aujla:2007:EIC,% Huda:1986:ESE,% Latala:1999:EBG% }. \NAMECITE{log-concave}{% Latala:1999:EBG% }. \NAMECITE{log-convex}{% Aujla:2007:EIC% }. \NAMECITE{Logarithm}{% Cardoso:2016:MAG,% Sury:2001:LA% }. \NAMECITE{Logarithmic}{% Borwein:1993:ICM,% Braden:1992:IAL,% Burk:1987:NGL,% Carlson:1991:IAL,% Plaza:2020:HLA,% Todd:1992:BRB,% Chu:2011:OIB,% Chu:2013:IAG,% Chu:2013:STP,% Ding:2017:OBA,% Liu:1994:GLA,% Long:2010:OIG,% Long:2011:OGL,% Matejicka:2010:POO,% Nelsen:1995:PWA% }. \NAMECITE{logarithms}{% Cremona:2013:CAPa,% Cremona:2013:CAPb% }. \NAMECITE{logical}{% Szyszkowicz:1991:PGL% }. \NAMECITE{{Lorentz}}{% Martins:1988:AGM% }. \NAMECITE{lot}{% Chang:2017:AGM,% Ouyang:2013:OPL% }. \NAMECITE{lower}{% Alzer:1990:LBD,% Pinelis:2015:EUL,% Sagae:1994:ULB,% Shao:2013:SRI,% Tung:1975:LUB% }. \NAMECITE{M}{% Askey:1988:BRP,% Bailey:2020:AVC,% Berndt:1988:BRJ,% Todd:1992:BRB,% Wimp:1988:BRP% }. \NAMECITE{Mapping}{% Rauch:1942:MPS% }. \NAMECITE{mappings}{% Dragomir:1997:SMA% }. \NAMECITE{maps}{% Molnar:2011:CMM% }. \NAMECITE{Marktoberdorf}{% Broy:1996:DPD% }. \NAMECITE{Mathematical}{% Berndt:1988:BRJ,% Cusmariu:1981:MNP,% OShea:1968:MNA,% Zhang:1996:AMI% }. \NAMECITE{{Mathias}}{% Yamazaki:2006:EKI% }. \NAMECITE{matrices}{% Alic:1997:GAM,% Ando:1983:AGH,% Cohen:1987:AGM,% Furuichi:2009:TIP,% Gumus:2011:SVI,% He:2012:IAG,% Israel:2016:AGM,% Kittaneh:1992:NAG,% Molnar:2011:CMM,% Sagae:1994:ULB,% Sheikhhosseini:2017:AGM,% Solak:2010:NEN,% Tao:2006:MRS,% Wu:2017:NYA,% Yamazaki:2013:EPA% }. \NAMECITE{Matrix}{% Bhatia:1993:MMF,% Cardoso:2016:MAG,% Feng:2008:MVS,% Luther:1996:CAG,% Alic:1997:AGH,% Audenaert:2015:IBA,% Bhatia:2000:NMA,% Bhatia:2008:MAG,% Bini:2011:NCM,% Fujii:2016:RDM,% Furuta:1994:NAG,% Gumus:2013:IAG,% Iannazzo:2017:RBB,% Kim:2011:MGM,% Pecaric:1997:AMG,% Zou:2016:NIB% }. \NAMECITE{Matters}{% Arndt:2011:MC% }. \NAMECITE{Mean}{% Akerberg:1963:CNP,% Almkvist:1988:GLR,% Alsina:2000:PWA,% Bencze:1993:NPAb,% Bhatia:1993:MMF,% Borwein:1983:GAG,% Borwein:1984:AGM,% Borwein:1984:GAG,% Borwein:1989:MI,% Borwein:1993:ICM,% Borwein:1997:AGMa,% Borwein:2000:AGM,% Borwein:2004:AGMa,% Braden:1992:IAL,% Burk:1987:NGL,% Butter:1936:CTA,% Cardoso:2016:MAG,% Carlson:1991:IAL,% Cox:1997:AGM,% Cox:2000:AGM,% Cox:2004:AGM,% Cusmariu:1981:MNP,% Diananda:1960:CNS,% Eddy:1985:BAG,% Foster:1984:AHM,% Gaines:1967:AMG,% Gluskin:2003:NGA,% Graham:2020:EPA,% Horn:1995:NBH,% Katsuura:2003:GAG,% Kaufmann:1996:IBMa,% Kosaki:1998:AGM,% Kosheleva:2009:GNJ,% Lehavi:2007:EFA,% Luther:1996:CAG,% Minassian:1987:NAG,% Montuchi:1988:BTE,% Nelsen:1987:PWH,% Nelsen:1989:RMS,% Nelsen:2015:PWT,% OShea:1968:MNA,% Passy:1971:GWM,% Perisastry:1982:BRA,% Salamin:1976:CUA,% Salamin:1997:CUA,% Salamin:2000:CUA,% Salamin:2004:CUA,% Schattschneider:1986:PWA,% Schaumberger:1978:CPA,% Schaumberger:1982:SAP,% Schaumberger:1988:GFA,% Toader:1998:SMV,% Yang:2001:AGM,% Abriata:1979:CTP,% Adiyasuren:2016:RAG,% Albadawi:2012:SVA,% Alic:1997:AGH,% Alic:1997:GAM,% Almkvist:1978:AGM,% Almkvist:2016:GLR,% Alzer:1987:UZG,% Alzer:1989:RAM,% Alzer:1990:CAM,% Alzer:1990:GGA,% Alzer:1990:SAM,% Alzer:1990:WAG,% Alzer:1991:NAM,% Alzer:1992:SAM,% Alzer:1996:PAM,% Alzer:1997:NRA,% Alzer:2002:AMG,% Ando:1983:AGH,% Audenaert:2015:IBA,% Ba:1997:SMA,% Barnard:2007:IHA,% Bellman:1956:AGM,% Bencze:1993:NPAa,% Bencze:1994:NPW,% Bencze:1995:NPA,% Bencze:1998:NPA,% Bhatia:2000:NMA,% Bhatia:2006:IAG,% Bhatia:2008:MAG,% Boldo:1999:CRE,% Borwein:1987:AGM,% Borwein:1988:AGMa,% Borwein:1988:AGMb,% Borwein:1988:AGMc,% Borwein:1988:AGMd,% Borwein:1988:AGMe,% Borwein:1988:BFD,% Borwein:1989:PAG,% Borwein:1993:HAA,% Borwein:2016:AGM,% Bost:1988:MAG,% Bracken:2001:AGM,% Bullen:2004:GAM,% Bullett:1991:DAG% }. \NAMECITE{mean}{% Buric:2015:AEA,% Cartwright:1978:RAM,% Carvalhaes:2008:APS,% Chang:2017:AGM,% Charzynski:2002:IBA,% Cheon:2009:RBS,% Chong:1976:AMG,% Chong:1977:AMG,% Chu:2011:OCC,% Chu:2012:OLM,% Chu:2013:STP,% Chung:2012:VAG,% Cox:1984:AGM,% Cox:1985:GAG,% Cox:2016:AGM,% Dijkstra:1992:AMG,% Dijkstra:1994:AAA,% Dijkstra:1996:AAA,% Ding:2017:OBA,% Dobbs:2001:PAG,% Donagi:1999:AGM,% Dragomir:1993:ETR,% Dragomir:1993:TRA,% Dragomir:1999:CAM,% Dzhaparidze:1994:SAI,% Ekart:2001:NGA,% Everitt:1967:LPA,% Everitt:1969:CLP,% Feng:1995:RAG,% Feng:2008:MVS,% Freour:2011:MCS,% Friedrich:2012:RGM,% Fujii:2016:RDM,% Furuichi:2014:OIA,% Furuta:1994:NAG,% Gao:2015:DWM,% Garvan:1994:CMI,% Gauss:1992:AGM,% Geppert:1928:TAG,% Glaser:1976:RGM,% Griffiths:2017:AGM,% Gumus:2013:IAG,% Haruki:1991:NCA,% Hassani:2013:AGM,% Hayashi:2009:NCA,% He:2012:IAG,% He:2012:OIB,% Heinrich:1981:VAG,% Henniart:1989:MAG,% Hering:1972:GAG,% Hirzallah:2016:SVC,% Huda:1986:ESE,% Huntington:1927:SIP,% Iannazzo:2017:RBB,% Israel:2016:AGM,% Jameson:2014:AAG,% Joseph:1999:AMG,% Kaufmann:1996:IBMb,% Kedlaya:1994:PMA,% Kim:2011:MGM,% Kinjo:2010:AAG,% Kinjo:2012:HSA,% Kinjo:2013:HSA,% Kittaneh:1992:NAG,% Knockaert:2003:BUB,% Koike:2007:IFP,% Kum:2012:GMP,% Kwon:2000:AGM,% Kwon:2000:ATB,% Landsberg:1978:TPI,% Lekner:2009:ASC,% Leng:2015:SUB,% Lingappaiah:1991:DRG,% Liu:1994:GLA,% Liu:2006:OTA,% Liu:2013:SBS,% Loewner:1970:DBG,% Long:2011:OGL,% Lucht:1995:AGM,% Maksa:2010:ETF,% Mathias:1993:AGH,% Mathias:1995:EAG,% Matsuda:1995:IPM,% Mercer:2003:RAG,% Molnar:2011:CMM,% Monhor:2003:AGM,% Morita:1972:CAG,% Murthy:1997:AMG,% Nandi:1980:EDN,% Nishiwada:1988:HSA,% Nishiwada:1994:HSA,% Nishiwada:1997:AAG,% Nussbaum:1988:AGM,% Nussbaum:1990:CPG,% Pecaric:1995:RSA,% Pecaric:1997:AMG,% Pecaric:1997:NPA,% Peetre:1989:GAG,% Plaza:2022:FBP,% Qi:2009:AUP% }. \NAMECITE{mean}{% Qian:2015:SBS,% Raissouli:2009:AGH,% Rauch:1942:MPS,% Razpet:1986:MAG,% Ruan:2015:NAG,% Sabnis:2006:AAG,% Sala:1989:TJA,% Salamin:2016:CUA,% Sampedro:1999:DIP,% Sandor:1999:AGM,% Schaumberger:1977:APA,% Schlesinger:1911:GJA,% Seiffert:1987:WZG,% Seo:2012:AGM,% Shao:2013:SRI,% Sheikhhosseini:2016:NRV,% Sheikhhosseini:2017:AGM,% Spandaw:2012:HIG,% Stefanski:1996:NAG,% Sury:2000:AGM,% Taneja:2006:GAG,% Torrent:1956:NEC,% Tung:1975:LUB,% Uchida:2008:SPG,% Walden:2007:HMI,% Wang:1999:SLT,% Wang:2014:NSC,% Wang:2016:OBG,% Wu:2017:NYA,% Xia:2012:OOP,% Xu:2013:PPM,% Xu:2015:RSP,% Xue:2017:RWA,% Yamazaki:2006:EKI,% Yamazaki:2013:EPA,% Yang:2000:AGM,% Yang:2014:SBA,% Yang:2014:SBS,% Yeh:2008:SEF,% Zhang:2011:IGM,% Zou:2015:IAG,% Zou:2015:RAG,% Zou:2016:NIB,% Zou:2017:AGM,% Zou:2019:UAG,% Bayat:2011:AGM,% Nelsen:1995:PWA,% Osler:2014:RFR,% Todd:1992:BRB% }. \NAMECITE{Mean-Geometric}{% Graham:2020:EPA,% Alzer:1991:NAM,% Alzer:1992:SAM,% Cartwright:1978:RAM,% Chong:1976:AMG,% Dragomir:1993:ETR,% Dragomir:1993:TRA% }. \NAMECITE{Mean-Harmonic}{% Nelsen:1989:RMS% }. \NAMECITE{meaning}{% Freour:2011:MCS% }. \NAMECITE{Means}{% Borwein:1996:AGM,% Borwein:1997:AGMb,% Carlson:1970:IMA,% Carlson:1971:AIA,% Everitt:1963:IGA,% Gencev:2018:PIB,% Hiai:1999:CVM,% Neuman:1996:TIA,% Plaza:2020:HLA,% Sandor:1996:CIM,% Schoen:1984:HGA,% Vamanamurthy:1994:IM,% Wang:2011:SDI,% Wang:2012:SDI,% Aiyer:1945:AGM,% Aldaz:2008:RIB,% Aldaz:2009:SII,% Aldaz:2010:CRB,% Aldaz:2011:CDB,% Aldaz:2012:SBD,% Alzer:1990:IAG,% Alzer:1990:LBD,% Alzer:1992:IPA,% Alzer:1994:NSA,% Alzer:1995:DII,% Alzer:1999:SIA,% Bajpai:1978:SAG,% Bellissima:2014:AGH,% Bini:2011:NCM,% Bullen:1967:SMI,% Buric:2016:AAI,% Buric:2017:CAA,% Carlson:1971:MAG,% Casquilho:2011:MDA,% Choi:2017:IRA,% Chu:2011:OCC,% Chu:2011:OIB,% Chu:2012:IBA,% Chu:2012:OLM,% Chu:2013:IAG,% Chu:2015:OBF,% Chuan:1990:NIA,% Cohen:1987:AGM,% Cohen:1992:RAG,% Crisan:2013:DSI,% Dijkstra:1996:AGM,% Ding:2017:OBA,% Dmitrieva:1997:FAB,% Dragomir:1997:SMA,% Dragomir:1998:IAG,% Fink:1976:GAG,% Fink:1981:WAG,% Fournier:1999:EGA,% Friedrich:2012:RGM,% Gasharov:1997:SFT,% Georgakis:2002:IAG,% Gong:2012:SDI,% Gumus:2011:SVI,% Guo:2003:IMR,% Guo:2016:SBN,% Hao:1993:RAG,% Hao:2000:CIA,% Hassani:2013:RAG,% Hassani:2014:AGM,% He:2012:OIB,% Holland:2006:IBC,% Hunter:1956:GIA,% Ito:2008:MAG,% Jameson:2018:RNA,% Jarvis:2008:HGA,% Kanas:1996:UCC,% Kanas:1998:UCC,% Kim:2007:CIH,% Kim:2009:SCI,% Kim:2011:MGM,% Kittaneh:2012:IAG,% Klamkin:1968:ICA,% Kober:1958:AGM,% Krafft:1979:RGA,% Kum:2012:GMP,% Latala:1999:EBG,% Lecko:2011:DSA,% Lehmer:1970:CCM,% Lehmer:1971:CCM,% Liu:2013:SBS,% Long:2010:OIG,% Long:2011:OGL,% Martins:1988:AGM,% Matejicka:2010:POO,% Matsumoto:2010:AGM,% Maze:2012:NWH,% Micic:2008:IIA,% Mihesan:2005:RPT,% Mitrinovic:1966:ICA,% Mitrovic:1970:SII,% Nakamura:2001:AAA,% Nanjundiah:1946:IRA,% Ono:1983:GGT,% Oppenheim:1965:ICA,% Oppenheim:1968:ICA,% Ovesea-Tudor:2004:UCC,% Pinelis:2015:EUL% }. \NAMECITE{means}{% Qi:2003:IMRa,% Qi:2003:IMRb,% Qian:2014:OBN,% Qian:2015:SBS,% Reyssat:1987:AMA,% Rodin:2017:VIA,% Roy:1992:CBA,% Roy:2003:CBW,% Sagae:1994:ULB,% Sandor:1990:IAG,% Seiffert:1997:TIA,% Sen:1987:WDA,% Shisha:1966:GII,% Solak:2010:NEN,% Srivastava:2014:ICE,% Stubban:1944:AGM,% Tanimoto:2007:NOA,% Vasic:1972:ICA,% Wang:1988:IRA,% Wang:2014:BPE,% Wang:2014:NSC,% Wazwaz:1991:MNM,% Wilf:1963:SAI,% Xia:2012:OOP,% Yamamoto:2010:HGA,% Yang:2014:OGC,% Yang:2014:SBS,% Zhang:2011:IGM,% Zhao:2014:OII,% Zulauf:1986:SFE,% Zuo:2014:UBS,% Zuo:2015:IRA,% dalahu:1996:AIA,% Meany:1971:BRB% }. \NAMECITE{measure}{% Taneja:2006:GAG,% Walden:2007:HMI% }. \NAMECITE{measures}{% Latala:1999:EBG,% Yamamoto:2010:HGA% }. \NAMECITE{Medelv{\"a}rdet}{% Almkvist:1978:AGM% }. \NAMECITE{media}{% Gauss:1992:AGM% }. \NAMECITE{mediorum}{% Gauss:1917:OPG,% Gauss:1992:AGM% }. \NAMECITE{Mellon}{% Traub:1976:ACC% }. \NAMECITE{meta}{% Friedrich:2012:RGM% }. \NAMECITE{meta-analysis}{% Friedrich:2012:RGM% }. \NAMECITE{method}{% Cardenas-Barron:2010:EMD,% Cardenas-Barron:2010:SMC,% Chung:2012:VAG,% Freour:2011:MCS,% Iannazzo:2017:RBB,% Razpet:1986:MAG% }. \NAMECITE{methods}{% Brent:1976:MPZ,% Brent:2010:MPZ,% Wazwaz:1991:MNM% }. \NAMECITE{minimum}{% Casquilho:2011:MDA% }. \NAMECITE{Mittel}{% Seiffert:1987:WZG,% Alzer:1987:UZG,% Schlesinger:1911:GJA% }. \NAMECITE{{Mittels}}{% Geppert:1928:TAG,% Heinrich:1981:VAG% }. \NAMECITE{{Mittelwerte}}{% Alzer:1988:UGA,% Alzer:1990:GGA% }. \NAMECITE{Mixed}{% Carlson:1970:IMA,% Carlson:1971:MAG,% Ito:2008:MAG,% Meany:1971:BRB,% Ba:1997:SMA,% Gao:2015:DWM,% Kedlaya:1994:PMA,% Matsuda:1995:IPM% }. \NAMECITE{model}{% Freour:2011:MCS% }. \NAMECITE{models}{% Cardenas-Barron:2010:EMD,% Chang:2014:API% }. \NAMECITE{Modified}{% Wazwaz:1991:MNM% }. \NAMECITE{modular}{% Borwein:2016:RME,% Dupont:2011:FEM,% Garvan:1994:CMI,% Koike:2007:IFP,% Koike:2008:EGA% }. \NAMECITE{modulus}{% Morita:1972:CAG% }. \NAMECITE{Mono}{% Berndt:1988:BRJ% }. \NAMECITE{Mono-}{% Berndt:1988:BRJ% }. \NAMECITE{monotonicity}{% Guo:2003:IMR,% Qi:2003:IMRa,% Qi:2003:IMRb% }. \NAMECITE{{Moore}}{% Kaufmann:1996:IBMa,% Kaufmann:1996:IBMb% }. \NAMECITE{Moyenne}{% Bost:1988:MAG,% Henniart:1989:MAG,% Boldo:1999:CRE% }. \NAMECITE{moyennes}{% Reyssat:1987:AMA% }. \NAMECITE{{MR1209383}}{% Mathias:1995:EAG% }. \NAMECITE{MR1220829}{% Dragomir:1993:ETR% }. \NAMECITE{{Muirhead}}{% Wang:2014:NSC% }. \NAMECITE{Multiple}{% Brent:1975:FMP,% Brent:1976:FMP,% Brent:1976:MPZ,% Brent:2010:MPZ,% Karmer:1993:MPC,% Kramer:1993:MPC,% Luther:1996:CAG,% Brent:2016:FMP,% Kanada:1988:VMA,% Kanada:2016:VMP% }. \NAMECITE{Multiple-Precision}{% Brent:1976:FMP,% Kramer:1993:MPC,% Luther:1996:CAG,% Brent:1975:FMP,% Brent:1976:MPZ,% Brent:2010:MPZ,% Karmer:1993:MPC,% Brent:2016:FMP,% Kanada:1988:VMA,% Kanada:2016:VMP% }. \NAMECITE{Multivariable}{% Hoffmann:2016:WGI% }. \NAMECITE{music}{% Bellissima:2014:AGH% }. \NAMECITE{Mutual}{% King:1921:SNF% }. \NAMECITE{NATO}{% Broy:1996:DPD% }. \NAMECITE{Necessary}{% Wang:2014:NSC% }. \NAMECITE{Negative}{% Minassian:1987:NAG% }. \NAMECITE{Nested}{% Osler:2015:PNR% }. \NAMECITE{{Neuman}}{% Guo:2016:SBN,% Qian:2014:OBN,% Yang:2014:OGC% }. \NAMECITE{{Newton}}{% Dupont:2011:FEM% }. \NAMECITE{next}{% Bailey:2016:PNG% }. \NAMECITE{Nieuw}{% Dragomir:1993:ETR% }. \NAMECITE{no}{% Dragomir:1993:ETR% }. \NAMECITE{nominal}{% Yamamoto:2010:HGA% }. \NAMECITE{Non}{% Hayashi:2009:NCA,% Dobbs:2001:PAG% }. \NAMECITE{Non-commutative}{% Hayashi:2009:NCA% }. \NAMECITE{non-{Euclidean}}{% Dobbs:2001:PAG% }. \NAMECITE{noncommuting}{% Nussbaum:1988:AGM% }. \NAMECITE{noncontinuous}{% Ekart:2001:NGA% }. \NAMECITE{nonlinear}{% dalahu:1996:AIA% }. \NAMECITE{nonmonotone}{% Iannazzo:2017:RBB% }. \NAMECITE{Norm}{% Horn:1995:NBH,% Audenaert:2015:IBA,% Furuta:1994:NAG,% Kittaneh:1999:SNI,% Zou:2016:NIB% }. \NAMECITE{normalized}{% Nandi:1980:EDN% }. \NAMECITE{Norms}{% Horn:1995:NBH,% Gumus:2013:IAG,% Solak:2010:NEN,% Zou:2019:UAG% }. \NAMECITE{Note}{% Alzer:1994:NSA,% Chuan:1990:NIA,% Gluskin:2003:NGA,% Torrent:1956:NEC,% Wu:2017:NYA,% Alzer:1991:NAM,% Bini:2011:NCM,% Furuta:1994:NAG,% Jameson:2018:RNA,% Kittaneh:1992:NAG,% Maze:2012:NWH,% Solak:2010:NEN,% Stefanski:1996:NAG,% Zou:2016:NIB% }. \NAMECITE{Notes}{% Akerberg:1963:CNP,% Bhatia:2000:NMA,% Burk:1987:NGL,% Cusmariu:1981:MNP,% Diananda:1960:CNS,% Gaines:1967:AMG,% Minassian:1987:NAG,% OShea:1968:MNA,% Ruan:2015:NAG% }. \NAMECITE{novel}{% Tanimoto:2007:NOA% }. \NAMECITE{November}{% Martin:1988:SPN% }. \NAMECITE{Number}{% Berndt:1988:BRJ,% Borwein:1987:PAS,% Wimp:1988:BRP,% Borwein:1998:PAS,% Hassani:2013:RAG,% Hassani:2014:AGM% }. \NAMECITE{Numbers}{% Alsina:2000:PWA,% Minassian:1987:NAG,% Alzer:2002:AMG,% Hassani:2013:RAG,% Oppenheim:1965:ICA,% Oppenheim:1968:ICA,% Seiffert:1987:WZG,% Vasic:1972:ICA% }. \NAMECITE{Numerical}{% King:1921:SNF,% King:1924:DNC,% King:2007:DNC,% Sheikhhosseini:2016:NRV,% Sheikhhosseini:2017:AGM,% Wazwaz:1991:MNM% }. \NAMECITE{numerics}{% Alefeld:1996:SCV% }. \NAMECITE{numerorum}{% Gauss:1917:OPG,% Gauss:1992:AGM% }. \NAMECITE{observations}{% Cardenas-Barron:2010:SMC,% Cohen:1992:RAG% }. \NAMECITE{once}{% Dijkstra:1996:AGM% }. \NAMECITE{one}{% Borwein:2016:RME,% He:2012:OIB,% Matejicka:2010:POO,% Tricomi:1965:SID,% Xia:2012:OOP% }. \NAMECITE{one-parameter}{% He:2012:OIB,% Xia:2012:OOP% }. \NAMECITE{ones}{% Hering:1972:GAG% }. \NAMECITE{operation}{% Tanimoto:2007:NOA% }. \NAMECITE{Operator}{% Furuichi:2014:OIA,% Zhao:2014:OII,% Bakherad:2016:RRG,% Bhatia:2006:IAG,% Kittaneh:1994:SOI,% Liu:2006:OTA,% Micic:2008:IIA,% Zuo:2014:UBS% }. \NAMECITE{operator-trace}{% Liu:2006:OTA% }. \NAMECITE{Operators}{% Hiai:1999:CVM,% Kosaki:1998:AGM,% Albadawi:2012:SVA,% Hirzallah:2016:SVC,% Kim:2007:CIH,% Kim:2009:SCI,% Kittaneh:1999:SNI,% Kittaneh:2012:IAG,% Nussbaum:1988:AGM,% Raissouli:2009:AGH,% Sheikhhosseini:2016:NRV,% Szyszkowicz:1991:PGL,% Xue:2017:RWA,% Yamazaki:2006:EKI,% Yang:2000:AGM,% Zuo:2015:IRA% }. \NAMECITE{Optimal}{% Chu:2011:OCC,% Chu:2011:OIB,% Chu:2012:OLM,% Chu:2015:OBF,% Ding:2017:OBA,% He:2012:OIB,% Long:2010:OIG,% Long:2011:OGL,% Ouyang:2013:OPL,% Qian:2014:OBN,% Wang:2016:OBG,% Xia:2012:OOP,% Chang:2017:AGM,% Chung:2012:VAG,% Matejicka:2010:POO,% Yang:2014:OGC% }. \NAMECITE{Optimization}{% Moustrou:2022:SRG% }. \NAMECITE{order}{% Cardenas-Barron:2010:SMC,% Kim:2007:CIH% }. \NAMECITE{origene}{% Gauss:1917:OPG,% Gauss:1992:AGM% }. \NAMECITE{Orlando}{% Martin:1988:SPN% }. \NAMECITE{{Ostrowski}}{% Hadjidimos:2012:IEO% }. \NAMECITE{other}{% Haruki:1991:NCA% }. \NAMECITE{outcomes}{% Friedrich:2012:RGM% }. \NAMECITE{overweighted}{% Alzer:1990:GGA% }. \NAMECITE{packing}{% Xu:2013:PPM% }. \NAMECITE{parallel}{% Sabnis:2006:AAG% }. 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