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Vol. 8 No 7 - Pi Mu Epsilon

Vol. 8 No 7 - Pi Mu Epsilon

Vol. 8 No 7 - Pi Mu Epsilon

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An Algebraist's View of<br />

Competitive Games<br />

Perpendicular Least Square<br />

Estimators<br />

The Isoperimetric Inequality<br />

Inverting a <strong>Pi</strong>n in R 2<br />

Fourier Series and the "Best u<br />

Mean Square Approxhtion<br />

Dynamic Programming Applied to<br />

Computer Voice Recognition<br />

A Formal Sum Method Approach to<br />

the Traveling Salesman Problem<br />

A Bit of Checking and Correcting<br />

A Graphical Illustration of the<br />

Covergence of Karmarkar's Linear<br />

Programming Algorithm<br />

The Existence of Eulericm and<br />

Hdtonian Circuits in Graphs and<br />

Their Line Graphs<br />

Circuit Spaces and Cut-Spaces of<br />

a Connected Graph<br />

Yet Another Discussion of Graceful<br />

Graphs<br />

Sub-families of Venn Diagrams<br />

Soap Fihs as Minimal Surfaces<br />

Wan whec^m II<br />

VitAg-LruA Be-ta<br />

V-uigLnia Po&&echnic Im-tc&rfe<br />

B^mn Andition<br />

KeHitucky Bi-ta.<br />

W u t m Kentucky UnivWnity<br />

Je66 V^JULm<br />

Ohio ZeAl<br />

UnivitiJuty of, Vayton<br />

Ue^ Godwin<br />

Alkanbu Alpha<br />

Univitiilty of, Ankan~~,<br />

M0~gtuii-t M. Linebe~gea<br />

<strong>No</strong>vkh Cmofina VeJUa<br />

E a t Ctuiofina Un^v~iZy<br />

Thomu Eugene Gibboni,<br />

M-innuota VeJUa<br />

St. Jodnlb UnAMe/i&.Lty<br />

Je66-te.y Horn<br />

W.hconi,Ln Alpha<br />

Mmque-tte UnivmJuty<br />

summm Qtumby<br />

Whconbin VeJUa.<br />

St. <strong>No</strong>hbULt CoUege<br />

Jo~ef, S. C-tepeau<br />

Montana Atpha<br />

Univitiii-ty of, Uonta.na<br />

Andhw P. FeAte-iAo.<br />

<strong>Mu</strong>bachuAa.t-t4 Mpha<br />

Wo-tc.utm Poiytechnic Ini,tJULivt-e<br />

P U P Beymm<br />

O-tegon Atpha<br />

Univiti-cty 06 Ohegon<br />

Gw%e Madm<br />

tiinnuota. V&a<br />

St. John'b Univm.Lty<br />

Theology, Mathematics and Meaning<br />

Games of Timing with Two or<br />

Three Players<br />

A Glimpse at the Theory of<br />

Res&cted Choice<br />

Mo/ur €hi<br />

W-Liroiu-Ln VeJUa<br />

St. <strong>No</strong>-tbULt College<br />

Timothy P. Ronan +<br />

PenlUyivania. Omichon<br />

Momvim CoUe-ge<br />

Sco-fct Kn.O*4ch<br />

Indiana Gamma<br />

Rob e-HuAnan Inb-fcetute 06 Technolog y<br />

The following papers were presented by students in the Mathematical<br />

Association of America Student Paper Session, held jointly with thpe P i<br />

<strong>Mu</strong> <strong>Epsilon</strong> Paper Session.<br />

W e s Length Minimizing Modulo v<br />

in fi"<br />

Jef,f, Abmhambon<br />

Md~bacftu-ietti lyi~-tctu/te 06 Te.cAnoLog y<br />

Hp-Completeness and the Traveling Melanie K. &eakm<br />

Salesman Problem<br />

<strong>No</strong>vkheo~-t M-Lihoiyn. SWe Univiti-fcty<br />

The Classical 'Problems of Rob& CuvLU<br />

Antiquity in the Hyperbolic PlaneUnw~i-fcty 06 CoJLLf,o~Viia., Sa&<br />

A Physical Derivation of the Well<br />

Tempered <strong>Mu</strong>sical Scale<br />

Timothy Koponen<br />

Aquina CoUege<br />

EcLi.tohlb <strong>No</strong>te<br />

OLUZ<br />

The <strong>Pi</strong> <strong>Mu</strong> EpA-t^on Jowcno-E um founded in 7949 and .LA dedicated to undmg/iaduLdte<br />

and beginning ghadua.tt btULdenL.4 JLwtmute.d .in mu the ma ti.(^^.<br />

Submitted aii.ti.atu, announcementil and contu.bution.li to the Puzzle Section<br />

and P-tobtem Vepcuttment of, the Jomat bhouX.d be d-dec-ted toward tUA g-toup.<br />

Undmgmduate and beginning gmduate. ~Aidentli aws. aged to bubmit papuui<br />

to the Jomd don. coni,idma.HJOn and pobb-iMe publLca-Uon. Student<br />

papm me given top' p&iuity.<br />

Expob~o~y 0AfCt.d~ by piwf,u~bnaJU .in a-U. mm 04 mathemati~i me<br />

upe.uaXJi.y welcome.<br />

Thi& &&u.e cont(U.ni thhee 4Aident papm. Each gem, Ae National Papm ;<br />

CompeAtitcon au& piusu 06 $200, $100 and $50, p-tovided that at twist<br />

dive btudent papm have. bun ~ubnviJtt.ed to the. EAc-toh. A^C 6-tude.ntA who<br />

have not yvt le.cu.ved a mute^'^ Veg-tee, o-t highm, awi. eLigibie 6o-t thue<br />

WHOA~. AnttAd6 6o-t 7986-1987 me announced on page 488 06 thih Abue.

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