Physical Sciences and Mathematics Commons^™

Cantor’S Coat, Lawrence Mark Lesser

Humanistic Mathematics Network Journal

No abstract provided.

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.

Mathematical Fiction, Pat Mower

Humanistic Mathematics Network Journal

No abstract provided.

The Möbius Metaphor, Julian Fleron

Humanistic Mathematics Network Journal

No abstract provided.

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

Humanistic Mathematics Network Journal

No abstract provided.

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.

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

Humanistic Mathematics Network Journal

No abstract provided.

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

Humanistic Mathematics Network Journal

No abstract provided.

Leibniz: His Philosophy And His Calculi, Eric Ditwiler

Humanistic Mathematics Network Journal

No abstract provided.

Field Station Under Threat, Paul Faulstich

Pitzer Faculty Publications and Research

As reported in the last issue of The Other Side, The Bernard Biological Field Station of the Colleges is slated to be the site of the Keck Graduate Institute, the newest (but yet unbuilt) addition to the Claremont Consortium. With Pitzer casting the sole dissenting vote, the Claremont Colleges approved construction of the Keck Institute on eleven acres of the 85 acre Field Station.

Land Development And Biotechnology At The Claremont Colleges, Paul Faulstich

Pitzer Faculty Publications and Research

Founded on the Oxford model of a cluster of institutions, the Claremont Colleges has periodically established a new school. In the Spring of 1997, the Board of Fellows of the Claremont University Center charged with policy-making for the consortium-voted to establish a seventh college; the Keck Graduate Institute of applied life sciences. or bioengineering. Despite other landholdings, including a golf course and a non-operational gravel quarry, the Board of Fellows voted to site the New Venture on a portion-approximately eleven acres--of the Bernard Biological Field Station. (Pitzer's vote was cast against building on the Field Station.)

Magic "Squares" Indeed, Arthur T. Benjamin, Kan Yasuda '97

All HMC Faculty Publications and Research

No abstract provided in this article.

Grazing Arizona: Public Land Management In The Southwest, Char Miller

Pomona Faculty Publications and Research

In February of 1999, the chief of the U.S. Forest Service, Michael Dombeck, placed a moratorium on road building on most roadless areas. In October, President Clinton put forth an initiative to prohibit road building on 40 million acres of roadless area. Such modifications in Forest Service land management decisions is not new as suggested by Char Miller in this look back at early grazing decisions by Pinchot. To be proactive and reactive at the same time in relation to changing social pressures and political realties may be the legacy of the agency.

Bounds On A Bug, Arthur T. Benjamin, Matthew T. Fluet '99

All HMC Faculty Publications and Research

In the game of Cootie, players race to construct a "cootie bug" by rolling a die to collect component parts. Each cootie bug is composed of a body, a head, two eyes, one nose, two antennae, and six legs. Players must first acquire the body of the bug by rolling a 1. Next, they must roll a 2 to add the head to the body. Once the body and head are both in place, the remaining body parts can be obtained in any order by rolling two 3s for the eyes, one 4 for the nose, two 5s for the …

On The Number Of Radially Symmetric Solutions To Dirichlet Problems With Jumping Nonlinearities Of Superlinear Order, Alfonso Castro, Hendrik J. Kuiper

All HMC Faculty Publications and Research

This paper is concerned with the multiplicity of radially symmetric solutions u(x) to the Dirichlet problem

Δu+f(u)=h(x)+cφ(x)

on the unit ball Ω⊂R^N with boundary condition u=0 on ∂Ω. Here φ(x) is a positive function and f(u) is a function that is superlinear (but of subcritical growth) for large positive u, while for large negative u we have that f'(u)<μ, where μ is the smallest positive eigenvalue for Δψ+μψ=0 in Ω with ψ=0 on ∂Ω. It is shown that, given any integer k≥0, the value c may be chosen so large that there are 2k+1 solutions with k or less interior nodes. Existence of positive solutions is excluded for large enough values of c.

Model Updating By Adding Known Masses And Stiffnesses, Philip D. Cha, Lisette G. De Pillis

All HMC Faculty Publications and Research

New approaches are developed to update the analytical mass and stiffness matrices of a system. By adding known masses to the structure of interest, measuring the modes of vibration of this mass-modified system, and finally using this set of new data in conjunction with the initial modal survey, the mass matrix of the structure can be corrected. A similar approach can also be used to update the stiffness matrix of the system by attaching known stiffnesses. Manipulating the mass and stiffness correction matrices into vector forms, the connectivity information can be enforced, thereby preserving the physical configuration of the system, …

An Inverse Function Theorem, Alfonso Castro, J. W. Neuberger

All HMC Faculty Publications and Research

In this note we present a local surjectivity result which is applicable to differential equations for which full boundary conditions may not be known. Our method uses continuous steepest descent and Sobolev gradients.

Black Holes And The Sym Phase Diagram, Miao Li, Emil Martinec, Vatche Sahakian

All HMC Faculty Publications and Research

Making combined use of the matrix and Maldacena conjectures, the relation between various thermodynamic transitions in super Yang-Mills (SYM) theory and supergravity is clarified. The thermodynamic phase diagram of an object in DLCQ M theory in four and five non-compact space dimensions is constructed; matrix strings, matrix black holes, and black p-branes are among the various phases. Critical manifolds are characterized by the principles of correspondence and longitudinal localization, and a triple point is identified. The microscopic dynamics of the matrix string near two of the transitions is studied; we identify a signature of black hole formation from SYM physics.

A Theoretical Study Of The Electronic Coupling Element For Electron Transfer In Water, Newt E. Miller '99, Matthew C. Wander '97, Robert J. Cave

All HMC Faculty Publications and Research

The electronic coupling element for electron transfer between a donor and acceptor in water is examined using simulations combining molecular dynamics and semiempirical quantum mechanics. In the first phase of the simulations a model donor and acceptor are solvated in water, using realistic potentials. Following equilbration, molecular dynamics simulations are performed with the donor, acceptor, and water at approximately 300 K, under periodic boundary conditions. In the second phase of the simulation, the electronic coupling element between the donor and acceptor is calculated for a number of time slices, in the presence of the intervening water molecules (those having a …

The Bordalo Order On A Commutative Ring, Melvin Henriksen, Frank A. Smith

All HMC Faculty Publications and Research

If R is a commutative ring with identity and ≤ is defined by letting a ≤ b mean ab = a or a = b, then (R,≤) is a partially ordered ring. Necessary and sufficient conditions on R are given for (R,≤) to be a lattice, and conditions are given for it to be modular or distributive. The results are applied to the rings Z_n of integers mod n for n ≥ 2. In particular, if R is reduced, then (R,≤) is a lattice iff R is a weak Baer ring, and (R,≤) is a distributive lattice iff R …

Customizable And Ontology-Enhanced Medical Information Retrieval Interfaces, Gondy Leroy, K.M. Tolle, Hsinchun Chen

CGU Faculty Publications and Research

This paper describes the development and testing of the Medical Concept Mapper as an aid to providing synonyms and semantically related concepts to improve searching. All terms are related to the userquery and fit into the query context. The system is unique because its five components combine humancreated and computer-generated elements. The Arizona Noun Phraser extracts phrases from natural language user queries. WordNet and the UMLS Metathesaurus provide synonyms. The Arizona Concept Space generates conceptually related terms. Semantic relationships between queries and concepts are established using the UMLS Semantic Net. Two user studies conducted to evaluate the system are described.

An Ab Initio Study Of The Mono- And Difluorides Of Krypton, Gerald J. Hoffman, Laura A. Swafford '97, Robert J. Cave

All HMC Faculty Publications and Research

Results from ab initio calculations at the CCSD(T) level of theory are presented for krypton monofluoride (KrF), krypton monofluoride cation (KrF+), linear, ground-state krypton difluoride (KrF2), the triplet state of krypton difluoride, and the krypton–fluorine van der Waals complex (Kr–F2). These are the first calculations demonstrating that KrF is a bound molecule, in agreement with experimental observation. When corrected for basis-set superposition error, the calculated potential displays quantitative agreement with the attractive wall of the experimentally measured potential curve. Results are also presented for KrF+ and linear KrF2 which yield accurate values for their dissociation energies. The triplet state of …

New Caribbean Locality For The Extinct Great White Shark Carcharodon, Clare Flemming, Donald A. Mcfarlane

WM Keck Science Faculty Papers

Carcharodon is represented by a single upper tooth (Fig. 1) which we extracted from the eroding Pliocene limestone wall, some six meters above the floor at the northern end of Darby Sink. Much of the tooth is missing, but the remaining portion includes features diagnostic of this genus. The tooth conforms in size and morphology to Carcharodon megalodon (Agassiz, 1843), an extinct great white shark.

A Second Pre-Wisconsinan Locality For The Extinct Jamaican Rodent, Clidomys (Rodentia: Heptaxodontidae), Donald A. Mcfarlane, Joyce Lundberg, Clare Flemming, Ross D. E. Macphee, Stein-Erik Lauritzen

WM Keck Science Faculty Papers

Clidomys is the most distinctive but least well known member of the late Quaternary terrestrial mammal fauna of Jamaica. Here we report the second dated locality for this genus. The Illinoisan age we report further strengthens arguments we have made elsewhere, that Clidomys represents an early - probably pre-Wisconsinan - extinction that contrasts with the growing record of Holocene extinctions in the Antilles.

Natural Math, Maria Droujkova

Humanistic Mathematics Network Journal

No abstract provided.

Do The Great While It Is Still Small: Humanistic Teaching In The Elementary School, John Eichinger

Humanistic Mathematics Network Journal

No abstract provided.

The Legend Of The Apple, Raul A. Simon

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics Found In Poetry, Alexis Mann

Humanistic Mathematics Network Journal

No abstract provided.

Plastic Pebbles, Virginie H. Mitchem

Humanistic Mathematics Network Journal

No abstract provided.

What Does Equality Mean?--The Basque View, Marcia Ascher

Humanistic Mathematics Network Journal

No abstract provided.