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Claremont Colleges

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1987

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The Bisection Method: Which Root?, Arthur T. Benjamin Nov 1987

The Bisection Method: Which Root?, Arthur T. Benjamin

All HMC Faculty Publications and Research

No abstract provided in this article.


Finest Science Not Always Found In The Fanciest American Universities, David E. Drew Oct 1987

Finest Science Not Always Found In The Fanciest American Universities, David E. Drew

CGU Faculty Publications and Research

Recent controversies about federal science funds for university research have become highly visible-and acrimonious. Debate about who should get support and why, long the province of a carefully developed system of peer, or merit, review, have been the subject of special task-force reports, congressional hearings and cover stories.


Quasi F-Covers Of Tychonoff Spaces, Melvin Henriksen, J. Vermeer, R. G. Woods Oct 1987

Quasi F-Covers Of Tychonoff Spaces, Melvin Henriksen, J. Vermeer, R. G. Woods

All HMC Faculty Publications and Research

A Tychonoff topological space is called a quasi F-space if each dense cozero-set of X is C*-embedded in X. In Canad. J. Math. 32 (1980), 657-685 Dashiell, Hager, and Henriksen construct the "minimal quasi F-cover" QF(X) of a compact space X as an inverse limit space, and identify the ring C(QF(X)) as the order-Cauchy completion of the ring C*(X). In On perfect irreducible preimages, Topology Proc. 9 (1984), 173-189, Vermeer constructed the minimal quasi F-cover of an arbitrary Tychonoff space. In this paper the minimal quasi F-cover of a compact space X is constructed as the space of ultrafilters …


Ordered Products Of Topological Groups, Melvin Henriksen, Ralph Kopperman, Frank A. Smith Sep 1987

Ordered Products Of Topological Groups, Melvin Henriksen, Ralph Kopperman, Frank A. Smith

All HMC Faculty Publications and Research

The topology most often used on a totally ordered group (G, <) is the interval topology. There are usually many ways to totally order G x G (e.g., the lexicographic order) but the interval topology induced by such a total order is rarely used since the product topology has obvious advantages. Let ℝ(+) denote the real line with its usual order and Q(+) the subgroup of rational numbers. There is an order on Q x Q whose associated interval topology is the product topology, but no such order on ℝ x ℝ can be found. In this paper we characterize those pairs G, H of totally ordered groups such that there is a total order on G x H for which the interval topology is the product topology.


Infinitely Many Radially Symmetric Solutions To A Superlinear Dirichlet Problem In A Ball, Alfonso Castro, Alexandra Kurepa Sep 1987

Infinitely Many Radially Symmetric Solutions To A Superlinear Dirichlet Problem In A Ball, Alfonso Castro, Alexandra Kurepa

All HMC Faculty Publications and Research

In this paper we show that a radially symmetric superlinear Dirichlet problem in a ball has infinitely many solutions. This result is obtained even in cases of rapidly growing nonlinearities, that is, when the growth of the nonlinearity surpasses the critical exponent of the Sobolev embedding theorem. Our methods rely on the energy analysis and the phase-plane angle analysis of the solutions for the associated singular ordinary differential equation.


Theoretical Studies Of Electron Transfer In Metal Dimers: Xy+→X+Y, Where X, Y=Be, Mg, Ca, Zn, Cd, Robert J. Cave, David V. Baxter, William A. Goddard Iii, John D. Baldeschwieler Jul 1987

Theoretical Studies Of Electron Transfer In Metal Dimers: Xy+→X+Y, Where X, Y=Be, Mg, Ca, Zn, Cd, Robert J. Cave, David V. Baxter, William A. Goddard Iii, John D. Baldeschwieler

All HMC Faculty Publications and Research

The electronic matrix element responsible for electron exchange in a series of metal dimers was calculated using ab initio wave functions. The distance dependence is approximately exponential for a large range of internuclear separations. A localized description, where the two nonorthogonal structures characterizing the electron localized at the left and right sites are each obtained self‐consistently, is found to provide the best description of the electron exchange process. We find that Gaussian basis sets are capable of predicting the expected exponential decay of the electronic interactions even at quite large internuclear distances.


Wavenumber Selection Of Convection Rolls In A Box, Wayne Arter, Andrew J. Bernoff, A. C. Newell Jan 1987

Wavenumber Selection Of Convection Rolls In A Box, Wayne Arter, Andrew J. Bernoff, A. C. Newell

All HMC Faculty Publications and Research

The dynamics of two‐dimensional Rayleigh–Bénard convection rolls are studied in a finite layer with no‐slip, fixed temperature upper and lower boundaries and no‐slip insulating side walls. The dominant mechanism controlling the number of rolls seen in the layer is an instability concentrated near the side walls. This mechanism significantly narrows the band of stable wavenumbers although it can take a time comparable to the long (horizontal) diffusion time scale to operate.


The Complexity Of Computations By Networks, Nicholas Pippenger Jan 1987

The Complexity Of Computations By Networks, Nicholas Pippenger

All HMC Faculty Publications and Research

We survey the current state of knowledge concerning the computation of Boolean functions by networks, with particular emphasis on the addition and multiplication of binary numbers.


A Theoretical Investigation Of Some Low-Lying Singlet States Of 1,3-Butadiene, Robert J. Cave, Ernest R. Davidson Jan 1987

A Theoretical Investigation Of Some Low-Lying Singlet States Of 1,3-Butadiene, Robert J. Cave, Ernest R. Davidson

All HMC Faculty Publications and Research

Results are presented from extensive ab initio calculations on several low-lying singlet states of cis- and trans-1,3-butadiene. The results indicate a qualitative difference between the cis and trans isomers for the lowest π → π* transition. For the cis isomer, the first excited singlet state of the same symmetry as the ground state is found to lie above the lowest π → π* transition, and we estimate that this is also the case for the trans isomer.


Issues In The Design And Implementation Of Expert Systems, Clive L. Dym Jan 1987

Issues In The Design And Implementation Of Expert Systems, Clive L. Dym

All HMC Faculty Publications and Research

This article discusses the issues that arise in the design and implementation of expert systems. These issues include: task selection; the stages of development of expert system projects; knowledge acquisition; languages and tools; development and run-time environments; and organizational and institutional issues. The article closes with some speculation about the future development of expert systems.


Sorting And Selecting In Rounds, Nicholas Pippenger Jan 1987

Sorting And Selecting In Rounds, Nicholas Pippenger

All HMC Faculty Publications and Research

We present upper bounds for sorting and selecting the median in a fixed number of rounds. These bounds match the known lower bounds to within logarithmic factors. They also have the merit of being “explicit modulo expansion”; that is, probabilistic arguments are used only to obtain expanding graphs, and when explicit constructions for such graphs are found, explicit algorithms for sorting and selecting will follow. Using the best currently available explicit constructions for expanding graphs, we present the best currently known explicit algorithms for sorting and selecting in rounds.


The Gradient Model Load Balancing Method, Frank C. H. Lin, Robert M. Keller Jan 1987

The Gradient Model Load Balancing Method, Frank C. H. Lin, Robert M. Keller

All HMC Faculty Publications and Research

A dynamic load balancing method is proposed for a class of large-diameter multiprocessor systems. The method is based on the "gradient model," which entails transferring backlogged tasks to nearby idle processors according to a pressure gradient indirectly established by requests from idle processors. The algorithm is fully distributed and asynchronous. Global balance is achieved by successive refinements of many localized balances. The gradient model is formulated so as to be independent of system topology.


Review: Moi, Tituba, Sorcière...Noire De Salem, Marie-Denise Shelton Jan 1987

Review: Moi, Tituba, Sorcière...Noire De Salem, Marie-Denise Shelton

CMC Faculty Publications and Research

Maryse Condè, l'une des romancières les plus importantes de la littérature antillaise, est un écrivain que passionne l'histoire. Elle en a fourni la preuve avec Segou, oeuvre remarquable qui nous fait revivre une ère mouvementée du passé africain. Elle l'a réaffirmé avec deux courts récits publiés sous le titre Pays Mêlé qui saisissent sur le vif les contradictions de l'histoire contemporaine des Caraibes. Moi, Tituba, sorcière...noire de Salem, son dernier livre, est un projet qui tient du défi: remplir par un travail de création et d'invention un vide de l'histoire. Le livre, nous est-il précisé, est une …


The Mazars Of Banaras: A New Perspective On The City’S Sacred Geography, Nita Kumar Jan 1987

The Mazars Of Banaras: A New Perspective On The City’S Sacred Geography, Nita Kumar

CMC Faculty Publications and Research

No abstract provided.


Rigid And Nonrigid Achirality, Erica Flapan Jan 1987

Rigid And Nonrigid Achirality, Erica Flapan

Pomona Faculty Publications and Research

In order to completely characterize a molecule it is useful to understand the symmetries of its molecular bond graph in 3-space. For many purposes the most important type of symmetry that a molecule can exhibit is mirror image symmetry. However, the question of whether a molecular graph is equivalent to its mirror image has different interpretations depending on what assumptions are made about the rigidity of the molecular structure. If there is a deformation of 3-space taking a molecular bond graph to its mirror image then the molecule is said to be topologically achiral. If a molecular graph can be …


Treasure-Seeking Then And Now, Richard Bushman Jan 1987

Treasure-Seeking Then And Now, Richard Bushman

CGU Faculty Publications and Research

Last August I attended the BYU conference on the Mark Hofmann documents where I had an opportunity to reflect on what the documents meant to me. After searching my thoughts and testing my feelings, I came to the conclusion that they meant very little. They did not mean much when they first came out, and their fall from historical authenticity had little effect on me later. That may sound like a strange confession from one who was writing on the early life of Joseph Smith at the very moment the "Salamander" and 1825 Joseph Smith letters came to light, with …


The Book Of Mormon In Early Mormon History, Richard Bushman Jan 1987

The Book Of Mormon In Early Mormon History, Richard Bushman

CGU Faculty Publications and Research

Brief excerpt from content in lieu of an abstract:

Was Joseph Smith a magician? That question has always lingered over the early history of Mormonism, but in recent years interest in the issue of magic has been renewed. The flurry of excitement over the short-lived Hofmann letters, with their evidence of a magical outlook in the 1820s, turned the attention of Mormon historians as never before to the broader scholarship of folk magic. There we have found a growing literature on an underground world of magical practices among Christians throughout the western world.


A Task Analysis Of Algebra Word Problems, Dale E. Berger, Jeffrey M. Wilde '84 Jan 1987

A Task Analysis Of Algebra Word Problems, Dale E. Berger, Jeffrey M. Wilde '84

CGU Faculty Publications and Research

Algebra word problems have been a source of consternation to generations of students. Recent cognitive analyses of problem solving have provided a new perspective on the mental processes involved in solving problems. In the study reported in this chapter, a set of algebra word problems was analyzed in terms of the information integration tasks that are required to solve the problems. A comparison of beginning an advanced high school students on their strategies and skills with algebra word problems demonstrated the advantages experts have in recognizing and using the overall structure of problems to guide them to a solution. Instruction …


Structural-Equation Models Of Current Drug Use: Are Appropriate Models So Simple(X)?, Ron D. Hays, Keith F. Widaman, M. Robin Dimatteo, Alan W. Stacy Jan 1987

Structural-Equation Models Of Current Drug Use: Are Appropriate Models So Simple(X)?, Ron D. Hays, Keith F. Widaman, M. Robin Dimatteo, Alan W. Stacy

CGU Faculty Publications and Research

The simplex and common-factor models of drug use were compared using maximum-likelihood estimation of latent variable structural models in two samples: a sample of 226 high school students, using ratio-scale measures of current drug use, and a sample of 310 industrial workers and 811 college students, using ordinal-scale measures of current drug use. Latent variables of alcohol, marijuana, enhancer hard drugs, and dampener hard drugs were specified in a series of structural models. Contrary to previous findings with cumulative drug-use data, the common-factor model provided a more acceptable representation of the observed current-use data than did the simplex model in …


Book Review: Alicia Ostriker, Stealing The Language: The Emergence Of Women's Poetry In America (Boston, 1986), Wendy Martin Jan 1987

Book Review: Alicia Ostriker, Stealing The Language: The Emergence Of Women's Poetry In America (Boston, 1986), Wendy Martin

CGU Faculty Publications and Research

Book review.