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1978

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Articles 1 - 30 of 34

Full-Text Articles in Physical Sciences and Mathematics

An Investigation Of Montmort's "Probleme De Recontres" And Generalizations, Ronald I. Greenberg Dec 1978

An Investigation Of Montmort's "Probleme De Recontres" And Generalizations, Ronald I. Greenberg

Computer Science: Faculty Publications and Other Works

I have investigated a problem which may be phrased in many ways, such as finding the probability of answering a given number of questions correctly on a randomly-completed matching test which may have a number of extra "dud" answers. I have determined such probabilities, the average number of correct answers, and other allied results. I have also investigated a related problem involving the number of ways of choosing a different element from each of a certain collection of sets.

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Scs 49: A Review Of A Theorem Of Dixmier's, Karl Heinrich Hofmann, Fred Watkins Nov 1978

Scs 49: A Review Of A Theorem Of Dixmier's, Karl Heinrich Hofmann, Fred Watkins

Seminar on Continuity in Semilattices

No abstract provided.

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Scs 48: Projective Limits In Cl And Scott's Construction (Comp. Iii-3), Karl Heinrich Hofmann, Jaime Niño Nov 1978

Scs 48: Projective Limits In Cl And Scott's Construction (Comp. Iii-3), Karl Heinrich Hofmann, Jaime Niño

Seminar on Continuity in Semilattices

No abstract provided.

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An Illustrative Model Describing The Refraction Of Long Water Waves By A Circular Island, Gregory A. Kriegsmann Nov 1978

An Illustrative Model Describing The Refraction Of Long Water Waves By A Circular Island, Gregory A. Kriegsmann

Department of Mathematics: Faculty Publications

The refraction of small shallow water waves by an idealized island is studied in this paper. The island's shoal is modeled by a quartic polynomial in the radial variable. This particular model allows the explicit construction of the rays (wave orthogonals) and the determination of several important features of the wave motion. The various shortcomings of the particular profile are discussed.

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Groups Expressed As The Set-Theoretic Union Of Proper Subgroups, Lana Barrett Nov 1978

Groups Expressed As The Set-Theoretic Union Of Proper Subgroups, Lana Barrett

Masters Theses & Specialist Projects

In their paper “Groups as Unions of Proper Subgroups,” published in 1959, Haber and Rosenfeld posed the problem of characterizing groups which can be expressed as the set theoretic union of a finite collection of their proper subgroups. Haber and Rosenfeld established that a group G is the union of three proper subgroups (such a group G shall be called a U3-group) if and only if the Klein 4-group is a homomorphic image of G. Further results concerning U3-groups were obtained in the paper “Groups which are the Union of Three Subgroups” by Bruckhemier, Bryan and …

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Second Leray Spectral Sequence Of Relative Hypercohomology, Saul Lubkin, Goro C. Kato Oct 1978

Second Leray Spectral Sequence Of Relative Hypercohomology, Saul Lubkin, Goro C. Kato

Mathematics

A second Leray spectral sequence of relative hypercohomology is constructed. (This is skew in generality to an earlier one constructed by S. Lubkin [(1968) Ann. Math. 87, 105-255].) The Mayer-Vietoris sequence of relative hypercohomology [Lubkin, S. (1968) Ann. Math. 87, 105-255] is also generalized.

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On A System Of Nonlinear Ordinary Differential Equations With An Irregular Type Singularity: A Degenerate Case, Jerome John Przybylski Aug 1978

On A System Of Nonlinear Ordinary Differential Equations With An Irregular Type Singularity: A Degenerate Case, Jerome John Przybylski

Dissertations

No abstract provided.

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Bayes Estimation Of Reliability For Mixtures Of Life Distributions, William J. Padgett, Chris P. Tsokos Jun 1978

Bayes Estimation Of Reliability For Mixtures Of Life Distributions, William J. Padgett, Chris P. Tsokos

Faculty Publications

No abstract provided.

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Scs 47: Équivalence Des Espaces De Batdedat Et Des Treillis Algébriques, Karl Heinrich Hofmann May 1978

Scs 47: Équivalence Des Espaces De Batdedat Et Des Treillis Algébriques, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

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Scs 46: A Result About O(X), Gerhard Gierz, Jimmie D. Lawson, Michael Mislove May 1978

Scs 46: A Result About O(X), Gerhard Gierz, Jimmie D. Lawson, Michael Mislove

Seminar on Continuity in Semilattices

No abstract provided.

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Topological Properties Of C(X, Y), Chris Alan Schwendiman May 1978

Topological Properties Of C(X, Y), Chris Alan Schwendiman

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this paper is to examine the important topological properties of the function spaces BC(X,Y) and C(X,Y). Emphasis is given to the relationship between the metrizability of X and the separability of these function spaces. The paper is divided into three major parts: the preliminary definitions and theorems; the relationship between the topological properties of X and BC (X ,Y), for compact X; and the extension of the results of Part II for X not compact and for the case when we have C(X, Y).

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Maximal Residue Difference Sets Modulo P, Duncan A. Buell, Kenneth S. Williams May 1978

Maximal Residue Difference Sets Modulo P, Duncan A. Buell, Kenneth S. Williams

Faculty Publications

Let p ≡ 1 (mod 4) be a prime. A residue difference set modulo p is a set S = {ai} of integers ai such that (ai/p) = +1 and ((ai - aj)/p) = +1 for all i and j with i ≠ j, where (n/p) is the Legendre symbol modulo p. Let mp be the cardinality of a maximal such set S. The authors estimate the size of mp.

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Calculation Of Galois Groups, Daniel Schnackenberg May 1978

Calculation Of Galois Groups, Daniel Schnackenberg

Theses and Dissertations

In the 19th Century Galois developed a method for determining whether an equation is solvable. It relied on the close relationship between fields and their automorphism group. This paper is a survey of the techniques of Galois theory. After presenting the main results of elementary Galois theory and some useful facts about factorization, I develop the important methods of calculating the Galois group and give a proof of the Chebotarev density theorem.

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Scs 45: Antichains And Equational Compactness, Heiko Bauer Apr 1978

Scs 45: Antichains And Equational Compactness, Heiko Bauer

Seminar on Continuity in Semilattices

No abstract provided.

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Hammerstein Integral Equations With Indefinite Kernel, Alfonso Castro Mar 1978

Hammerstein Integral Equations With Indefinite Kernel, Alfonso Castro

All HMC Faculty Publications and Research

This paper deals with the problem of finding solutions of the Hammerstein integral equation. It is shown that this problem can be reduced to the study of the critical points of certain functional defined on L2(Ω). Existence of a solution of the Hammersteln integral equation is proved. Some other related results of interest are obtained.

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Some Contribution To Descriptive Set Theory., Haimanti Sarbadhikari Dr. Feb 1978

Some Contribution To Descriptive Set Theory., Haimanti Sarbadhikari Dr.

Doctoral Theses

Current interest in the descriptive theory of sc ts stems largely from the many applications that the classical theory has found in probability theory, functional analysis, dynanic programming etc. As exarples, we cite the fundament al paper of Blackwell 15J wherein he has shown that many of the pathologies of probability theory c an be avoided if one takes the basic probability space to be an analytic set. As another example, we mention that several vritere [7), L23] have shown that in Blackwell's model of dynamic programming 131 the existence of optimal strategies ig related to the cxistence of measurable …

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Scs 44: Remark On Hofmann's Scs Memo 1/18/78, Klaus Keimel, Heiko Bauer Feb 1978

Scs 44: Remark On Hofmann's Scs Memo 1/18/78, Klaus Keimel, Heiko Bauer

Seminar on Continuity in Semilattices

No abstract provided.

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Scs 43: Locally Quasicompact Sober Spaces Are Baire Spaces, Karl Heinrich Hofmann Jan 1978

Scs 43: Locally Quasicompact Sober Spaces Are Baire Spaces, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

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A Random Walk In A Random Environment, Edwin Andrew Sanchez Jan 1978

A Random Walk In A Random Environment, Edwin Andrew Sanchez

Mathematics & Statistics ETDs

In this dissertation we consider a model of a random walk, (Zn}, on R(1) where the distribution of (Zn} is dependent on a stochastic process (Yn} and is given by gy(z) where Yn-1 = y . Conditions on the environmental process (Yn} are given for which transience or recurrence of the random walk (Zn} can be detennined. The probability of n absorption and mean time problems are solved when (Yn} is a finite Markov chain and (Zn} is a classical random walk on …

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Fixed Point Theorems In Generalized Hilbert Spaces, Troy L. Hicks, Ed W. Huffman Jan 1978

Fixed Point Theorems In Generalized Hilbert Spaces, Troy L. Hicks, Ed W. Huffman

Mathematics and Statistics Faculty Research & Creative Works

Some fundamental fixed point theorems are proved for locally convex spaces whose generating family of semi norms satisfies the parallelogram law. © 1978.

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Convergent Factorial Series Solutions Of Linear Difference Equations, W. J. Fitzpatrick, L. J. Grimm Jan 1978

Convergent Factorial Series Solutions Of Linear Difference Equations, W. J. Fitzpatrick, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

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Numerical Experiments With The Multi-Grid Method, Theodore Craig Poling Jan 1978

Numerical Experiments With The Multi-Grid Method, Theodore Craig Poling

Dissertations, Theses, and Masters Projects

No abstract provided.

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The Conjugate Of A Singular Functional Differential Operator, Leon M. Hall Jan 1978

The Conjugate Of A Singular Functional Differential Operator, Leon M. Hall

Mathematics and Statistics Faculty Research & Creative Works

An explicit representation of the conjugate of a singular functional differential operator is given. Some theorems and their corollaries are proven.

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Quasi-Triangular Matrices, Joanne Dombrowski Jan 1978

Quasi-Triangular Matrices, Joanne Dombrowski

Mathematics and Statistics Faculty Publications

It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.

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On The Structure Of Divergence-Free Tensors, Ian M. Anderson Jan 1978

On The Structure Of Divergence-Free Tensors, Ian M. Anderson

Mathematics and Statistics Faculty Publications

Contravariant rank two tensors which are divergence‐free on one index and which are constructed from the metric tensor, an auxiliary collection of arbitrary tensor fields, and the first and second partial derivatives of these quantities are classified. The results generalize existing mathematical arguments in support of the Einstein field equations

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Endomorphism Rings Of Torsion-Free Modules Over A Complete Discret Valuation Ring., Brendan Goldsmith Jan 1978

Endomorphism Rings Of Torsion-Free Modules Over A Complete Discret Valuation Ring., Brendan Goldsmith

Articles

No abstract available.

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Essentially-Rigid Families Of Abelian P-Groups, Brendan Goldsmith Jan 1978

Essentially-Rigid Families Of Abelian P-Groups, Brendan Goldsmith

Articles

No abstract available

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The Sl(5r) Lie Invariance Transformation Group For The 3-Dimensional Classical Kepler Problem : A Preparation, And Induced Group Structure Algorithm Derivation, Mark Paul Merner Jan 1978

The Sl(5r) Lie Invariance Transformation Group For The 3-Dimensional Classical Kepler Problem : A Preparation, And Induced Group Structure Algorithm Derivation, Mark Paul Merner

University of the Pacific Theses and Dissertations

Recently,1 an algorithm has been derived for the explicit determination of an induced SL (n+2,R) Lie invariance transformation group for a completely integrable 2n - dimensional dynamical system defined on IR2n from that known for a free particle system with n degree of freedom. 2 In particular, the universal transitive Lie invariance transformation group for both the isotropic harmonic oscillator3 and the anharmonic oscillator4 (quartic potential) has been obtained by this algorithm. Further,5 it has been shown in theory and by example that a complete set of functionally independent constants of motion corresponds to an …

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A Topological Approach To A Problem Of Nunke, Brendan Goldsmith Jan 1978

A Topological Approach To A Problem Of Nunke, Brendan Goldsmith

Articles

No abstract available

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Generalized Connectors, Nicholas Pippenger Jan 1978

Generalized Connectors, Nicholas Pippenger

All HMC Faculty Publications and Research

An $n$-connector is an acyclic directed graph having $n$ inputs and $n$ outputs and satisfying the following condition: given any one-to-one correspondence between inputs and distinct outputs, there exists a set of vertex-disjoint paths that join each input to the corresponding output. It is known that the minimum possible number of edges in an $n$-connector lies between lower and upper bounds that are asymptotic to $3n\log _3 n$ and $6n\log _3 n$ respectively. A generalized $n$-connector satisfies the following stronger condition: given any one-to-many correspondence between inputs and disjoint sets of outputs, there exists a set of vertex-disjoint trees that …

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