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Orono Mathfest
ORONO, ME, August 810, 1991
Meeting #867
Associate secretaries:
Joseph A Cima, AMS
cima@email.unc.edu
Kenneth A Ross, MAA
ross@math.uoregon.edu
Saturday August 10, 1991

Saturday August 10, 1991, 7:30 a.m.8:20 a.m.
AMSMAA Invited Address
Laplacians of graphs and hypergraphs.
Fan R. K. Chung*, Bell Communications Research, Morristown, New Jersey

Saturday August 10, 1991, 8:35 a.m.9:25 a.m.
MAA Earle Raymond Hedrick Lecture: Lecture III
The sensual (quadratic) form. Can you speak its soul?
John Horton Conway*, Princeton University

Saturday August 10, 1991, 9:40 a.m.11:10 a.m.
AMS Progress in Mathematics Lecture
The theory and applications of harmonic mappings between Riemannian manifolds.
Richard M. Schoen*, Stanford University
(86735101)

Saturday August 10, 1991, 11:25 a.m.11:55 a.m.
MAA Business Meeting

Saturday August 10, 1991, 12:00 p.m.1:00 p.m.
National Science Foundation Informal Discussion Group

Saturday August 10, 1991, 12:40 p.m.6:00 p.m.
AMS Special Session on Problems in Number Theory, II

12:40 p.m.
Some determinant identities.
George E. Andrews*, Pennsylvania State University, University Park
William H. Burge, IBM T. J. Watson Research Center, Yorktown Heights, New York
(8671158)

1:10 p.m.
Fermat's last theorem in reverse.
Murray S. Klamkin*, University of Alberta
John R. McGregor, University of Alberta
(8671168)

1:40 p.m.
A road from Pythagoras to Pell, via continued fractions.
A. G. Schaake, Waikato Polytechnic, New Zealand
J. C. Turner*, University of Waikato, New Zealand
(86711135)

2:10 p.m.
Arrowhead curves in a tree of Pythagorean triples.
A. G. Shannon*, University of Technology, Australia
A. F. Horadam, University of New England, Australia
(8671137)

2:40 p.m.
Good Pixel permutations for expensive computer graphics.
Peter G. Anderson*, Rochester Institute of Technology
(8671163)

3:10 p.m.
Triangular numbers and primes.
Joseph Arkin*, United States Military Academy
David C. Arney, United States Military Academy
Frank R. Giordano, United States Military Academy
Rickey A. Kolb, United States Military Academy
(8671146)

3:40 p.m.
Some properties of numbers revealed on a cylindrical pointlattice.
Irving Adler*, North Bennington, Vermont
(8671109)

4:10 p.m.
Necessary and sufficient conditions for simple Abases.
Calvin Long*, Washington State University
Carl Swenson, Seattle University
(8671111)

4:40 p.m.
Generalized multinacci numbers combined with generalized Pascal triangles.
Joseph Arkin, United States Military Academy
David C. Arney, United States Military Academy
Frank R. Giordano*, United States Military Academy
Rickey A. Kolb, United States Military Academy
(8671113)

5:10 p.m.
Divisiblility of terms in Lucas sequences by their subscripts.
Lawrence Somer*, Catholic University of America
(8671147)

5:40 p.m.
Unexpected applications of number theory.
Stefan A. Burr*, City College, City University of New York
(86711193)

Saturday August 10, 1991, 12:40 p.m.4:30 p.m.
AMS Special Session on Commutative Noetherian Rings with Applications in Algebraic Geometry, III

12:40 p.m.
CohenMacaulay properties of local homomorphisms.
Luchezar L. Avramov*, Purdue University, West Lafayette
HansBjorn Foxby, University of Copenhagen, Denmark
(8671320)

1:10 p.m.
On symbolic algebras of monomial primes.
Hema Srinivasan*, University of Missouri, Columbia
(86713124)

1:40 p.m.
Depth properties of graded rings associated to an ideal.
Sam Huckaba, Florida State University
Thomas Marley*, University of Nebraska, Lincoln
(8671338)

2:10 p.m.
Rees algebras of ideals having small analytic deviation.
Sam Huckaba*, Florida State University
Craig Huneke, Purdue University, West Lafayette
(8671327)

2:40 p.m.
One dimensional local rings of maximal and almost maximal length.
William C. Brown*, Michigan State University
J\"urgen Herzog, Universit\"at Gesamthochschule Essen, Germany
(8671315)

3:10 p.m.
Betti numbers of modules of finite length.
Hara Charalambous*, State University of New York, Albany
(86713181)

3:40 p.m.
Fundamental groups of surface singularities.
Steven Dale Cutkosky*, University of Missouri, Columbia
(86713123)

4:10 p.m.
The HilbertLoewy function, and deformations of a local algebra.
A. Iarrobino*, Northeastern University
(8671384)

Saturday August 10, 1991, 12:40 p.m.2:00 p.m.
AMS Special Session on Continuum Theory and Dynamical Systems, III

12:40 p.m.
Linear patterns of periodic points on dendrites.
Stewart Baldwin*, Auburn University, Auburn
(86758165)

1:10 p.m.
A treelike continuum admitting fixed point free maps with arbitarily small trajectories.
Piotr Minc*, Auburn University, Auburn
(86754146)

1:40 p.m.
Convex metrics for separable metric spaces.
J. Nikiel, University of Saskatchewan
H. M. Tuncali, University of Saskatchewan
E. D. Tymchatyn*, University of Saskatchewan
(8675495)

Saturday August 10, 1991, 12:40 p.m.4:00 p.m.
AMS Special Session on Analytic Number Theory, II

12:40 p.m.
Some asymptotic expansions of Ramanujan.
Bruce C. Berndt*, University of Illinois, UrbanaChampaign
Ronald J. Evans, University of California at San Diego, La Jolla
(86711150)

1:10 p.m.
Calculation of a sieve auxiliary function.
Harold G. Diamond*, University of Illinois, UrbanaChampaign
H. Halberstam, University of Illinois, UrbanaChampaign
H.E. Richert, University of Ulm, Germany
(86711126)

1:40 p.m.
Primitive points on elliptic curves. II.
Ram Murty*, McGill University
(86711127)

2:10 p.m.
Limiting distributions of additive functions.
Adolf J. Hildebrand*, University of Illinois, UrbanaChampaign
(86711128)

2:40 p.m.
Iterations of multiplicative functions.
Don Redmond*, Southern Illinois University, Carbondale
(86711185)

3:10 p.m.
On the frequencies of large values of divisor functions.
Karl K. Norton*, Bangor, Maine
(8671199)

3:40 p.m.
The number of relatively prime solutions to a Diophantine approximation of Hurwitz numbers.
John Sadowsky*, Johns Hopkins University, Laurel
(8671129)

Saturday August 10, 1991, 12:40 p.m.3:30 p.m.
AMS Special Session on Variational Methods, Differential Analysis and Symmetry, III

12:40 p.m.
Nonsingular group actions.
Arthur G. Wasserman*, University of Michigan, Ann Arbor
(8675764)

1:10 p.m.
Geometric and differential properties of subanalytic sets.
Edward Bierstone, University of Toronto
Pierre Milman*, University of Toronto
(8673236)

1:40 p.m.
Spacelike isoparametric submanifolds of Lorentzian spaces.
Bing Le Wu*, Brandeis University
(8675357)

2:10 p.m.
Lipschitz equisingularity, subanalytic case.
Adam Parusi\'nski*, University of Georgia
(86732173)

2:40 p.m.
Polar actions on compact Lie groups.
Gudlaugur Thorbergsson*, University of Notre Dame
(86753125)

3:10 p.m.
Connections on split trivial bundles over homogeneous spaces, and locally symmetric spaces.
Lance D. Drager*, Texas Tech University
Robert L. Foote, Wabash College
(8675393)

Saturday August 10, 1991, 12:40 p.m.3:30 p.m.
AMS Special Session on Function Algebras and Function Spaces, III

12:40 p.m.
An open mapping theorem on homogeneous spaces.
Shozo Koshi*, Hokkaido University, Japan
(8674674)

1:10 p.m.
A new function space on Lorentzian 3manifolds.
Phillip E. Parker*, Wichita State University
(86733109)

1:40 p.m.
The heat equation and BerezinToeplitz estimates.
L. A. Coburn*, State University of New York, College at Buffalo
(8674623)

2:10 p.m.
Part metric and conformal mapping.
H. S. Bear*, University of Hawaii, Honolulu
(8673076)

2:40 p.m.
Bergman type spaces on hyperbolic spaces.
John E. Gilbert*, University of Texas, Austin
Ray A. Kunze, University of Georgia
Christopher Meaney, Macquarie University, Australia
(8674296)

3:10 p.m.
Moebius invariant function spaces on the open unit ball in C^n.
K. T. Hahn, Pennsylvania State University, University Park
E. H. Youssfi*, Pennsylvania State University, University Park
(86732118)

Saturday August 10, 1991, 12:40 p.m.4:05 p.m.
AMS General Session, III

12:40 p.m.
Monopoly variations and Markov chains.
Laurence Murphy*, Wittenberg University
(86760148)

12:55 p.m.
Recurrence relations for moments of order statistics in the presence of an outlier.
Kandasamy Selvavel*, Claflin College
(8676234)

1:10 p.m.
Comparison of simultaneity tests for combined experiments.
Jack Tomsky*, Lockheed Missiles & Space Company
(8676203)

1:25 p.m.
A new method for derivation of continuous RungeKutta formulas.
Leroy Derr, University of New Orleans
Curtis Outlaw, University of New Orleans
Diran Sarafyan*, University of New Orleans
(86765114)

1:40 p.m.
Thresholdrange scaling for twodimensional cyclic cellular automata.
Robert Fisch*, Colby College
(8676871)

1:55 p.m.
A wave method for analyzing the spectrum of a vibrating thin plate.
Goong Chen, Texas A\thsp\&\thsp M University, College Station
Matthew P. Coleman*, Fairfield University
Jianxin Zhou, Texas A\thsp\&\thsp M University, College Station
(86773163)

2:10 p.m.
On a pulsatile flow of a twophase viscous fluid in a tube of elliptic crosssection.
Lokenath Debnath*, University of Central Florida
(8677632)

2:25 p.m.
Interaction of laser light and amorphous and/or polycrystalline barium titanate films.
Terry Logan*, University of Akron
(86778166)

2:40 p.m.
Models of premeal and postmeal heart rate power spectra in young normals.
Jerry Collins*, Vanderbilt University
Tushar Desai, Vanderbilt University
Italo Biaggioni, Vanderbilt University
Richard Shiavi, Vanderbilt University
Virginia Haile, Vanderbilt University
David Robertson, Vanderbilt University
(8679292)

2:55 p.m.
A system approach to representing the sum of two nth powers as an nth power.
C. Mus\`es*, Mathematics & Morphology Research Centre, Canada
(8679372)

3:10 p.m.
The bump in the carpet, Fermat's last theorem, and Kasner's kindergarten.
Herbert E. Salzer*, Brooklyn, New York
(86798104)

3:25 p.m.
Graphing calculators and workshops in large calculus classes.
Al Shenk*, University of California at San Diego, La Jolla
(86798113)

3:40 p.m.
Nonstandard solutions to standard problems.
Joe Thrash*, University of Southern Mississippi
(86798115)

3:55 p.m.
Series for Euler's constant and Log n.
Jonathan D. Sondow*, Yeshiva University
(86711194)

Saturday August 10, 1991, 12:40 p.m.4:55 p.m.
MAA Session on Computer Software for Classroom Use, I

12:40 p.m.
Introduction "On Lecture Hardware and Software at the University of Maine"

1:05 p.m.
A computer on every desk: The impact on mathematics students, faculty, and curriculum.
Stan Seltzer, Ithaca College
Constance Elson*, Ithaca College

1:30 p.m.
Computer software for classroom use.
Leslie Hogben*, Iowa State College, Ames

1:55 p.m.
Ralph, a simulated computer.
Charles A. Green*, Blackburn College

2:20 p.m.
GASP: Graphical aids for stochastic processes.
Robert Fisch*, Colby College

2:40 p.m.
Break

2:55 p.m.
Fourier analysis software (FAS).
James S. Walker*, University of Wisconsin, Eau Claire and Washington University

3:20 p.m.
Using LINDO in an undergraduate optimization course.
Elaine Hubbard*, Kennesaw State College

3:45 p.m.
Illustrating cubic splines and Lagrange interpolating polynomials.
Shepley L. Ross, II*, Bates College

4:10 p.m.
Using MATLAB in a first course in linear algebra.
George Mackiw*, Loyola College in Maryland

4:35 p.m.
Using MATLAB to compute the Jordan form of a matrix.
Richard Barshinger*, Pennsylvania State University, Worthington Scranton

Saturday August 10, 1991, 12:40 p.m.1:55 p.m.
MAA Undergraduate Student Paper Session, II on Algebraic Graph Theory (NSF Undergraduate Research ProgramREU)

12:40 p.m.
Topics in algebraic graph theory. I.
Joshua Brandon*, Harvard University

12:55 p.m.
Topics in algebraic graphy theory. II.
Lana Holmes*, Hanover College

1:10 p.m.
Topics in algebraic graph theory. III.
Alan Jaffray*, Sonoma State University

1:25 p.m.
Topics in algebraic graph theory. IV.
Ian Robertson*, Oberlin College

1:40 p.m.
Topics in algebraic graph theory. V.
Marc Douglass Wallace*, Washington University

Saturday August 10, 1991, 12:40 p.m.2:00 p.m.
MAA CUPM Subcommittee on Quantitative Literacy Informal Discussion
Quantitative Literacy

Saturday August 10, 1991, 12:40 p.m.3:40 p.m.
MAA Student Workshop
Using the DERIVE computer algebra system to generate conjectures
Organizers:
Marvin L. Brubaker, Messiah College
Carl L. Leinbach, Gettysburg College

Saturday August 10, 1991, 12:45 p.m.2:45 p.m.
MAA Minicourse #4: Part C
Teaching mathematical modeling
Organizers:
Frank Giordano, U.S. Military Academy
Maurice Weir, Naval Postgraduate School

Saturday August 10, 1991, 12:45 p.m.2:45 p.m.
MAA Minicourse #5: Part B
Conceptualizing, organizing, and seeking funding for teacher education projects
Organizers:
Joan FerriniMundy, University of New Hampshire
Carole Lacampagne, National Science Foundation

Saturday August 10, 1991, 12:45 p.m.2:45 p.m.
MAA Minicourse #6: Part B
Symmetry analysis of repeated patterns
Organizers:
Donald Crowe, University of Wisconsin, Madison

Saturday August 10, 1991, 12:45 p.m.2:45 p.m.
MAA Minicourse #7: Part B
Great theorems from mathematical analysis: 16891881
Organizers:
William Dunham, Hanover College

Saturday August 10, 1991, 1:05 p.m.4:55 p.m.
MAA Session on Computer Software for Classroom Use, II

1:05 p.m.
Software use at Centre College. I.
Bill Johnston*, Centre College

1:30 p.m.
Software at Centre College. II.
John Wilson*, Centre College

1:55 p.m.
MPP, graphical software for calculus.
Howard Lewis Penn*, United States Naval Academy

2:20 p.m.
Computer plotting for mathematics insight.
Mark Bridger*, Northeastern University

2:40 p.m.
Break

2:55 p.m.
Understanding surfaces through animation.
Maurino P. Bautista*, Rochester Institute of Technology

3:20 p.m.
GyroGraphics^tm in the calculus classroom.
Jerry Johnson*, Oklahoma State University, Stillwater

3:45 p.m.
Using DERIVE in mathematics courses for liberal arts students.
Kay Gura*, Ramapo College of New Jersey

4:10 p.m.
First year experiences using symbolic software in calculus.
Lisa Townsley Kulich*, Illinois Benedictine College
Barbara Victor, Illinois Benedictine College

4:35 p.m.
Using DERIVE to simplify an integral of Lubin.
Dave Trautman*, The Citadel

Saturday August 10, 1991, 2:00 p.m.3:30 p.m.
MAA Undergraduate Student Paper Session, III on Cooperative Game Theory (NSF Undergraduate Research ProgramREU)

2:00 p.m.
Topics in cooperative game theory. I.
Thomas Ventrudo*, Loyola College of Maryland

2:15 p.m.
Topics in cooperative game theory. II.
Stephanie Merki*, Eastern Nazarene College

2:30 p.m.
Topics in cooperative game theory. III.
Owen Patashnick*, Brandeis University

2:45 p.m.
Topics in cooperative game theory. IV.
Brett Allan Saraniti*, Harvey Mudd College

3:00 p.m.
Topics in cooperative game theory. V.
Jodi P. Wallman*, Bryn Mawr College

3:15 p.m.
Topics in cooperative game theory. VI.
Daniel S. Arthur*, Miami University, Ohio

Saturday August 10, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #8: Part B
Knot theory for undergraduates
Organizers:
Stefanos Gialamas, Columbia College

Saturday August 10, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #9: Part B
Unifying themes for discrete mathematics
Organizers:
Ralph Grimaldi, RoseHulman Institute of Technology
Inquiries: meet@ams.org