%%% -*-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 = "59698 15200 52684 454804", %%% 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-MONTHL