Digital Commons Network^™

Existence And Uniqueness For A Variational Hyperbolic System Without Resonance, Peter W. Bates, Alfonso Castro

All HMC Faculty Publications and Research

In this paper, we study the existence of weak solutions of the problem

□u + ∇G(u) = f(t,x) ; (t,x) є Ω ≡ (0,π)x(0,π)

u(t,x) = 0 ; (t,x) є ∂Ω

where □ is the wave operator ∂²/∂t² - ∂²/∂x², G: Rⁿ→R is a function of class C² such that ∇G(0) = 0 and f:Ώ→R^n is a continuous function having first derivative with respect to t in (L₂,(Ω))ⁿ and satisfying

f(0,x) = f(π,x) = 0

for all x є [0,π].

Hierarchical Analysis Of A Distributed Evaluator, Robert M. Keller, Gary Lindstrom

All HMC Faculty Publications and Research

We outline the analysis of a distributed evaluator for an applicative language FGL (Function Graph Language). Our goal is to show that the least fixed point semantics of FGL are faithfully implemented by the hardware evaluator envisioned in the Applicative Multi-Processor System AMPS. Included in the analysis are a formalization of demand-driven computation , the introduction of an intermediate graphic language IGL to aid in our proofs, and discussion of pragmatic issues involved in the AMPS machine language design.

Serotaxonomy Of Simmondsia Chinensis (Simmondsiaceae), Ron Scogin

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.

Petal Epidermal Dimorphism And Uv Absorption In Anthochlor-Pigmented Flowers, Ron Scogin, Patricia Rogers

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.

Anatomical Diversity In Roots Of Seven Species Of Abronia From California And Its Ecological Implications, Janet S. Webster, Ruth C. Wilson

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.

Productivity, Depletion, And Natural Selection Of Salvia Columbariae Seeds, Robert D. Brayton, Brian Capon

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.

Závisí Matematická Pravda Od Času?, Judith V. Grabiner

Pitzer Faculty Publications and Research

This is a Slovak translation of Judith Grabiner's "Is Mathematical Truth Time-Dependent?," published in Volume 81 of American Mathematical Monthly (April 1974).

Kinetics Of Adp-Induced Human Platelet Shape Change: Apparent Positive Cooperativity, John Milton, W. Yung, C. Glushak, Mony M. Frojmovic

WM Keck Science Faculty Papers

The kinetics of ADP-induced human platelet shape change have been examined. Initial velocities of platelet shape change were estimated by two methods: 1) the slope of the initial decrease in light transmission through stirred, citrated platelet-rich plasma, and 2) direct examination of platelet morphologies by phase-contrast microscopy. In both cases, a value of the Hill coefficient, n, significantly greater than 1 is obtained (2.0 +/- 0.2 and 1.8 +/- 0.2, respectively). The observed elevated value of n is not due to a substantial fraction of the ADP being platelet bound, the presence of factors in the plasma, platelet heterogeneity, of …

Liverpool University Expedition To Jamaica, Donald A. Mcfarlane

WM Keck Science Faculty Papers

During summer 1977, five members of the Liverpool University Potholing Club spent six weeks working and exploring in the caves of Jamaica. The team consisted of Don McFarlane, John Dye, Malcolm Macduff, Mike Roger and Barry Williams, all of whom contributed to this report. The expedition base was at Troy, where the villagers are owed a debt of gratitude for their hospitality. This placed the expedition in the heart of the cave region, and a number of new caves and shafts were discovered and explored. The main discovery was the Still Waters Cave, located near Accompong, where 11,800 feet of …

Further Concepts In Ecological Wood Anatomy, With Comments On Recent Work In Wood Anatomy And Evolution, Sherwin Carlquist

Aliso: A Journal of Systematic and Floristic Botany

No abstract provided.

A New Lower Bound For The Number Of Switches In Rearrangeable Networks, Nicholas Pippenger

All HMC Faculty Publications and Research

For the commonest model of rearrangeable networks with $n$ inputs and $n$ outputs, it is shown that such a network must contain at least $6n \log _6 n + O( n )$ switches. Similar lower bounds for other models are also presented.

On The Evaluation Of Powers And Monomials, Nicholas Pippenger

All HMC Faculty Publications and Research

Let $y_1 , \cdots ,y_p $ be monomials over the indeterminates $x_1 , \cdots ,x_q $. For every $y = (y_1 , \cdots ,y_p )$ there is some minimum number $L(y)$ of multiplications sufficient to compute $y_1 , \cdots ,y_p $ from $x_1 , \cdots ,x_q $ and the identity 1. Let $L(p,q,N)$ denote the maximum of $L(y)$ over all $y$ for which the exponent of any indeterminate in any monomial is at most $N$. We show that if $p = (N + 1^{o(q)} )$ and $q = (N + 1^{o(p)} )$, then $L(p,q,N) = \min \{ p,q\} \log N …

Comparative Schematology And Pebbling With Auxiliary Pushdowns, Nicholas J. Pippenger

All HMC Faculty Publications and Research

This paper has three claims to interest. First, it combines comparative schematology with complexity theory. This combination is capable of distinguishing among Strong's “languages of maximal power,” a distinction not possible when comparative schematology is based on computability considerations alone, and it is capable of establishing exponential disparities in running times, a capability not currently possessed by complexity theory alone. Secondly, this paper inaugurates the study of pebbling with auxiliary pushdowns, which bears to plain pebbling the same relationship as Cook's study of space-bounded machines with auxiliary pushdowns bears to plain space-bounded machines. This extension of pebbling serves as the …

A New Experiential Course In Engineering Management, Donald S. Remer

All HMC Faculty Publications and Research

Institutions with undergraduate programs of the engineering management type often find their introductory courses to be popular electives for students in more traditional engineering disciplines, while in other cases specific courses from business management or industrial engineering departments are elected. Where none of these options are available or suitable, engineering schools are well advised to provide one or two key courses to provide at least an introduction to the management problems their graduates will face. At Brown University, according to Prof. Barrett Hazeltine, a series of two courses in engineering management serve this function; more than half of Brown's undergraduate …

Two Point Boundary Value Problem With Jumping Nonlinearities, Alfonso Castro

All HMC Faculty Publications and Research

We prove that a certain two point BVP with jumping nonlinearities has a solution. Our result generalizes that of [2]. We use variational methods which permit giving a minimax characterization of the solution. Our proof exposes the similarities between the variational behavior of this problem and that of other semilinear problems with noninvertible linear part (see [5]).

James Eights, Albany Naturalist: New Evidence, Char Miller, Naomi Goldsmith

Pomona Faculty Publications and Research

Eights's contributions to scientific study and to the popularization of science have been understated and misunderstood.

Mississippi Redistricting 1977-1980, Thomas B. Hofeller

CGU Theses & Dissertations

This is a study of the 1977-78 redistricting of the Mississippi State Legislature. It was a process that saw the culmination of a struggle between the civil rights forces and the "Establishment" in Mississippi, but its origins span almost the entire period of the "reapportionment revolution" in the United States.

Deterrence And The Arms Race: The Impotence Of Power, Jacek J. Kugler, Abramo Fimo Kenneth Organski, Daniel J. Fox

CGU Faculty Publications and Research

So much has been done in the name of nuclear deterrence, so much destructive power built by ourselves and the Russians that it may seem rather late in the day, not to say absurd, to wonder whether or not mutual deterrence really occurs and ask what evidence can be adduced to prove it. Yet such a question may be essential to an understanding of international nuclear politics. The problems thus posed are difficult, however, and cannot be solved by direct means. What one needs to do is to establish empirically whether the conditions necessary for deterrence to be taking place …