Vol. 10 No 6 - Pi Mu Epsilon

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List of Referees o, als in Kaleidoscopic Tilings on Closed Surfaces Dennis A. Schmidt Wisconsin Delta St. Norbert College The editor wishes to acknowledge the substantial contributions made by the following mathematicians who reviewed manuscripts for the Pi Mu Epsilon Journal during the past year. A Paradox of Funct1on ApproXImations Pi peflo\\ m the Reg10n of a BifurcatiOn A Discrete Time Martingale Dtscusston of the Free Group with Tv.o Generators a and h Days of the W eel from Dates Shape: The Unsoh ed M)stery To Be or Not To Be Written b~ · Shakespeare Mark Short Wisconsm Delta Carthage College *Eugene Sy Califonua Lambda Utuversity ofCalifonua. Dans Michael Everett Theriot, Jr. Lowsiana Alpha Louisiana State Universi~· Bryan Treusch Ohio Xi Yowtgsto\\n State University Rebecca Weingard Virginia Alpha University of Richmond Hande Yurttan D.C. Beta Georgetov.n Uruversi~· Phil Barker, University of Missouri-Kansas City Philip J. Byrne, College of St. Benedict Gerard Buskes. University of Mississippi Hang Chen. Central Missouri State University Curtis Cooper. Central Missouri State University Richard Delaware. University of Missouri - Kansas City Underwood Dudley. DePauw University Larry Eifler. University of Missouri - Kansas City J. Douglas Faires. Youngstown State University James Foran. University of Missouri - Kansas City Ramesh Garimella. Tennessee Technological University Betty Jean Harmsen, Northwest Missouri State University Terry King, Northwest Missouri State University Michael Kinyon, Indiana University South Bend Dennis Maim, Northwest Missouri State University Wayne McDaniel, University of Missouri- St. Louis Allan D. Mills. Tennessee Technological University Michael Motto, Northwest Missouri State University Charles B. Pierre, Clark Atlantic University Jawad Sadek. Northwest Missouri State University Norman Schaumberger. Bronx Community College Lawrence Somer, The Catholic University of America Michael Steiner. University of Texas- Austin Songlin Tian, Central Missouri State University Jingcheng Tong, University of North Florida ·. 516 517
MISCELLANY Letter to the Editor Basil Rennie of South Australia sent the following conuncnt on the note ··Approximabng e"/'2 with nearly n + 1/3 TemtS·· by Frame and Frenzen (Volume 10. Number 5. Fall1996). These authors are treading in the footsteps of Rarnanujan. who in a partJal solution of a problem in The Journal of the Indian Math Soc. commented that if S = + n + n 2 12 + ·· + n o- 1 /(n - 1)! and M = n"/n!. then e" 2S + .!:. ~) 1 + _±._ n _, - ~ n - 2 - ~ n - .~ + ···) . 3 •• , ~5 9~5 2835 Subscription and Change of Address lf,our address label contams the s\mbols "S97'". then true; IS the last Issue m ~~ur current subscnption We hope that you agree that the .loutnal provides good Yaluc and that ~ou mllicnew ~our subscnption The rates arc Umtcd States Foreign Back Issue!> $20 tor 2 years $-lO for 5 ~ cars $25 for 2 ~cars 1> 5 each In Memoriam Complete 'olumes $50 (5 ~ears. 10 ISSUeS) Leon Bankoff pmcticcd dentistry for sixty years in Beyerly Hills. California. Among his other interests. such as piano and guitar. he lectured and \\TOte papers both on dcntisby and mathematics. His specialty was geometry. and the figure he loYed best was the arbelos. or shoemaker·s knife. It is said that the test of a mathematician is not what he himself has discoYered. but what he inspired others to do Leon· s discovery of a third circle congruent to each of the t\\in circles of Archimedes moti,·ated the discm·ery of several other members of that family of circles. An article on those circles is in progress. Dr. Bankoff edited this Problem Deparbnent from 1968 to 1981. setting and maintaining a high standard of excellence in the more than 300 problems he included in these pages. His influence continues today. Leon and I became good friends. first through correspondence and later through many personal meetings. On February 16. 1997. he died of cancer at age 88. Right up to his last few weeks he worked on the manuscript for a proposed book on the properties of the arbelos. cail)ing on work started by his collaboration with the late Victor Thebault. He ''as a gentleman and a scholar. a true friend. Clay1on W. Dodge All Issues 1>400 ( 9 back 'olumcs and 'olumc I o l lf~ou ltaYC moYed. please let us kno" Titc .lournal1s not fomardcd so 11 IS important that we have a current mailing address for \OU. To subscnbe or chartgc ~our address. complete the form belo" (or a cop~ thereof) and send it. \\Ith a check payable to the Pi Mu Ep~ilon .Journal for subscnptions. to Joan Weiss Department of Mathematics and Com puler Sc1cncc Fairfield l hm crs1~ Fairfield. CT 06-l3U Name: -------------- Chapter:-------- Address: __________________________________________ ___ Francis Regan. professor and chair emeritus of St. Louis University. died on February 18. 1996. Born on January 10. 1903. he was a member of the American Mathematical Society for sixty-three years. Francis was editor of the Pi Mu Epsilon Journal from 1957 to 1963. 518 Address change----------- ~ubscnption 519 ______._
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