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Articles 23401 - 23430 of 27424

Full-Text Articles in Physical Sciences and Mathematics

The Best Way To Knock 'M Down, Arthur T. Benjamin, Matthew T. Fluet '99 Apr 1999

The Best Way To Knock 'M Down, Arthur T. Benjamin, Matthew T. Fluet '99

All HMC Faculty Publications and Research

"Knock 'm Down" is a game of dice that is so easy to learn that it is being played in classrooms around the world. Although this game has been effective at developing students' intuition about probability [Fendel et al. 1997; Hunt 1998], we will show that lurking underneath this deceptively simple game are many surprising and highly unintuitive results.

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Anticommuting Derivations, Steen Pedersen Apr 1999

Anticommuting Derivations, Steen Pedersen

Mathematics and Statistics Faculty Publications

We show that the re are no non-trivial closable derivations of a C*-algebra anticommuting with an ergodic action of a compact group, supposing that the set of squares is dense in the group. We also show that the re are no non-trivial closable densely defined rank one derivations on any C*-algebra.

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A Numerical Solution Of Low-Energy Neutron Boltzmann Equation, Martha Sue Clowdsley Apr 1999

A Numerical Solution Of Low-Energy Neutron Boltzmann Equation, Martha Sue Clowdsley

Mathematics & Statistics Theses & Dissertations

A multigroup method using a straight ahead approximation is created to calculate low energy neutron fluence due to the elastic scattering of evaporation neutrons produced in interactions of high energy particles with target nuclei. This multigroup method is added to NASA Langley Research Center's HZETRN particle transport code. This new code is used to calculate the energy spectra of the neutron fluence in several different materials. The multigroup method is found to be an efficient way of calculating low energy neutron fluence in multiple atom materials as well as single atom materials. Comparisons to results produced by Monte Carlo methods …

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Ossa's Theorem And Adams Covers, Robert R. Bruner Mar 1999

Ossa's Theorem And Adams Covers, Robert R. Bruner

Mathematics Faculty Research Publications

We show that Ossa’s theorem splitting ku ∧ BV for elementary abelian groups V follows from general facts about ku ∧ BZ/2 and Adams covers. For completeness, we also provide the analogous results for ko ∧ BV .

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An Analytic Solution To The Busemann-Petty Problem On Sections Of Convex Bodies, Richard J. Gardner, Alexander Koldobsky, Thomas Schlumprecht Mar 1999

An Analytic Solution To The Busemann-Petty Problem On Sections Of Convex Bodies, Richard J. Gardner, Alexander Koldobsky, Thomas Schlumprecht

Mathematics Faculty Publications

We derive a formula connecting the derivatives of parallel section functions of an origin-symmetric star body in Rn with the Fourier transform of powers of the radial function of the body. A parallel section function (or (n - 1)-dimensional X-ray) gives the ((n - 1)-dimensional) volumes of all hyperplane sections of the body orthogonal to a given direction. This formula provides a new characterization of intersection bodies in Rn and leads to a unified analytic solution to the Busemann-Petty problem: Suppose that K and L are two origin-symmetric convex bodies in Rn such that the …

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The Classroom Encounter, Reuben Hersh Mar 1999

The Classroom Encounter, Reuben Hersh

Humanistic Mathematics Network Journal

No abstract provided.

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Letter To The New York Times, Arthur B. Powell, Miriam L. Yevick Mar 1999

Letter To The New York Times, Arthur B. Powell, Miriam L. Yevick

Humanistic Mathematics Network Journal

No abstract provided.

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Book Reviews: Einstein, A Life, By Denis Brian, And The Silver Horse-Shoe, By Javad Tarjemanov, Harald M. Ness Mar 1999

Book Reviews: Einstein, A Life, By Denis Brian, And The Silver Horse-Shoe, By Javad Tarjemanov, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

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"Numbers Man", Lawrence Mark Lesser Mar 1999

"Numbers Man", Lawrence Mark Lesser

Humanistic Mathematics Network Journal

No abstract provided.

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Spirograph® Math, Karin M. Deck Mar 1999

Spirograph® Math, Karin M. Deck

Humanistic Mathematics Network Journal

No abstract provided.

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The Difference Between Pure And Applied Mathematics, Adrian Riskin Mar 1999

The Difference Between Pure And Applied Mathematics, Adrian Riskin

Humanistic Mathematics Network Journal

No abstract provided.

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Music Of The Spheres, Lawrence Mark Lesser Mar 1999

Music Of The Spheres, Lawrence Mark Lesser

Humanistic Mathematics Network Journal

No abstract provided.

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The Prospects For Mathematics In A Multi-Media Civilization, Philip J. Davis Mar 1999

The Prospects For Mathematics In A Multi-Media Civilization, Philip J. Davis

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematicians Can Be Wrong, Tony Dunlop, Ken Kaminsky Mar 1999

Mathematicians Can Be Wrong, Tony Dunlop, Ken Kaminsky

Humanistic Mathematics Network Journal

No abstract provided.

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To My Students, Alvin White Mar 1999

To My Students, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

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Cantor’S Coat, Lawrence Mark Lesser Mar 1999

Cantor’S Coat, Lawrence Mark Lesser

Humanistic Mathematics Network Journal

No abstract provided.

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A New Family Of Irrational Numbers With Curious Properties, Vera W. De Spinadel, José M. Paz University Of Buenos Aires Mar 1999

A New Family Of Irrational Numbers With Curious Properties, Vera W. De Spinadel, José M. Paz University Of Buenos Aires

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematical Fiction, Pat Mower Mar 1999

Mathematical Fiction, Pat Mower

Humanistic Mathematics Network Journal

No abstract provided.

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The Möbius Metaphor, Julian Fleron Mar 1999

The Möbius Metaphor, Julian Fleron

Humanistic Mathematics Network Journal

No abstract provided.

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A Day In The Life Of Diophantus (C. 251 A.D.), Rebecca Pekrul Mar 1999

A Day In The Life Of Diophantus (C. 251 A.D.), Rebecca Pekrul

Humanistic Mathematics Network Journal

No abstract provided.

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News Extra: Ancient Document Discovered"Could Be The Greatest Of All Time If Validated" Says Professor, Shawn Dolezilek Mar 1999

News Extra: Ancient Document Discovered"Could Be The Greatest Of All Time If Validated" Says Professor, Shawn Dolezilek

Humanistic Mathematics Network Journal

No abstract provided.

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Limericks On The "Century Of Genius", Thomas J. Lipp Mar 1999

Limericks On The "Century Of Genius", Thomas J. Lipp

Humanistic Mathematics Network Journal

No abstract provided.

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Book Announcement: Women, Art And Geometry In Southern Africa, By Paulus Gerdes Mar 1999

Book Announcement: Women, Art And Geometry In Southern Africa, By Paulus Gerdes

Humanistic Mathematics Network Journal

No abstract provided.

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Leibniz: His Philosophy And His Calculi, Eric Ditwiler Mar 1999

Leibniz: His Philosophy And His Calculi, Eric Ditwiler

Humanistic Mathematics Network Journal

No abstract provided.

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The Moral Significance Of Indetectable Effects, Sven Ove Hansson Mar 1999

The Moral Significance Of Indetectable Effects, Sven Ove Hansson

RISK: Health, Safety & Environment (1990-2002)

A reassessment of Parfit's fifth "mistake in moral mathematics."

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Nontoric Hamiltonian Circle Actions On Four-Dimensional Symplectic Orbifolds, S. F. Singer, Janet Talvacchia, N. Watson Mar 1999

Nontoric Hamiltonian Circle Actions On Four-Dimensional Symplectic Orbifolds, S. F. Singer, Janet Talvacchia, N. Watson

Mathematics & Statistics Faculty Works

We construct four-dimensional symplectic orbifolds admitting Hamiltonian circle actions with isolated fixed points, but not admitting any Hamiltonian action of a two-torus. One example is linear, and one example is compact.

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Classroom Capsules: Additivity ⊕ Homogeneity, Michael J. Bradley, Michael St. Vincent, David L. Finn Mar 1999

Classroom Capsules: Additivity ⊕ Homogeneity, Michael J. Bradley, Michael St. Vincent, David L. Finn

Mathematics Faculty Publications

A Classroom Capsule is a short article that contains a new insight on a topic taught in the earlier years of undergraduate mathematics.

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Prestructuring Neural Networks Via Extended Dependency Analysis With Application To Pattern Classification, George G. Lendaris, Thaddeus T. Shannon, Martin Zwick Mar 1999

Prestructuring Neural Networks Via Extended Dependency Analysis With Application To Pattern Classification, George G. Lendaris, Thaddeus T. Shannon, Martin Zwick

Systems Science Faculty Publications and Presentations

We consider the problem of matching domain-specific statistical structure to neural-network (NN) architecture. In past work we have considered this problem in the function approximation context; here we consider the pattern classification context. General Systems Methodology tools for finding problem-domain structure suffer exponential scaling of computation with respect to the number of variables considered. Therefore we introduce the use of Extended Dependency Analysis (EDA), which scales only polynomially in the number of variables, for the desired analysis. Based on EDA, we demonstrate a number of NN pre-structuring techniques applicable for building neural classifiers. An example is provided in which EDA …

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Molecular Mechanics Simulations Of The Three Dimensional Cavity Problem, Donald Greenspan Mar 1999

Molecular Mechanics Simulations Of The Three Dimensional Cavity Problem, Donald Greenspan

Mathematics Technical Papers

The rapid development of computer technology has resulted in broad interest in three dimensional fluid simulation, which is known to have more complex force interactions than occur in two dimensions (see, e.g., refs. [1-6], [9], [11-15], [17], [18] and the additional references therein). In this paper we develop and analyze some molecular mechanics simulations of the three dimensional cavity problem. The fluid considered is water at 15° C.

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Tennis, Geometric Progression, Probability And Basketball, Mostafa Ghandehari Mar 1999

Tennis, Geometric Progression, Probability And Basketball, Mostafa Ghandehari

Mathematics Technical Papers

The following problem about a tennis match is well—known. See Halmos [1, 2]. Consider 2n tennis players playing a single elimination match. Ask the question: what are the number of games played? The answer can be obtained in two ways. First using the geometric progression 2n-1 + 2n-2 + • • • -2+1 we find that the answer is 2n — 1. We can also explain the answer as follows: for each game played there is a loser. Thus the total number of games played is equal to the number of losers. Since there is only one winner the total …

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