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Articles 24811 - 24840 of 27391

Full-Text Articles in Physical Sciences and Mathematics

A Theorem On Reproducing Kernel Hilbert Spaces Of Pairs, Daniel Alpay Jan 1992

A Theorem On Reproducing Kernel Hilbert Spaces Of Pairs, Daniel Alpay

Mathematics, Physics, and Computer Science Faculty Articles and Research

In this paper we study reproducing kernel Hilbert and Banach spaces of pairs. These are a generalization of reproducing kernel Krein spaces and, roughly speaking, consist of pairs of Hilbert (or Banach) spaces of functions in duality with respect to a sesquilinear form and admitting a left and right reproducing kernel. We first investigate some properties of these spaces of pairs. It is then proved that to every function K(z, ω) analytic in z and ω* there is a neighborhood of the origin that can be associated with a reproducing kernel Hilbert space of pairs with left reproducing kernel K(z, …

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Bounds On Constraint Weight Parameters Of Hopfield Networks For Stability Of Optimization Problem Solutions, Gursel Serpen Jan 1992

Bounds On Constraint Weight Parameters Of Hopfield Networks For Stability Of Optimization Problem Solutions, Gursel Serpen

Electrical & Computer Engineering Theses & Dissertations

The purpose of the presented research is to study the convergence characteristics of Hopfield network dynamics. The relation between constraint weight parameter values and the stability of solutions of constraint satisfaction and optimization problems mapped to Hopfield networks is investigated. A theoretical development relating constraint weight parameter values to solution stability is presented. The dependency of solution stability on constraint weight parameter values is shown employing an abstract optimization problem. A theorem defining bounds on the constraint weight parameter magnitudes for solution stability of constraint satisfaction and optimization problems is proved. Simulation analysis on a set of optimization and constraint …

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On The Dirichlet Problem For The Degenerate Real Monge Ampère Equation, Bert Wachsmuth Dec 1991

On The Dirichlet Problem For The Degenerate Real Monge Ampère Equation, Bert Wachsmuth

Bert Wachsmuth

No abstract provided.

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The Logic Of Unbalanced Subobjects In A Category With Two Closed Structures, Lawrence Stout Dec 1991

The Logic Of Unbalanced Subobjects In A Category With Two Closed Structures, Lawrence Stout

Lawrence N. Stout

No abstract provided.

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Asymptotic Behavior Of Solutions Of A Linear Second Order Difference Equation, William F. Trench Dec 1991

Asymptotic Behavior Of Solutions Of A Linear Second Order Difference Equation, William F. Trench

William F. Trench

No abstract provided.

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Mild Integrability Conditions For Global Solutions Of An Elliptic Equation, William F. Trench Dec 1991

Mild Integrability Conditions For Global Solutions Of An Elliptic Equation, William F. Trench

William F. Trench

No abstract provided.

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Global Solutions Of Nonlinear Differential Equations, William F. Trench Dec 1991

Global Solutions Of Nonlinear Differential Equations, William F. Trench

William F. Trench

No abstract provided.

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A Class Of Direct Search Methods For Nonlinear Integer Programming, Stephen J. Sugden Dec 1991

A Class Of Direct Search Methods For Nonlinear Integer Programming, Stephen J. Sugden

Stephen Sugden

This work extends recent research in the development of a number of direct search methods in nonlinear integer programming. The various algorithms use an extension of the well-known FORTRAN MINOS code of Murtagh and Saunders as a starting point. MINOS is capable of solving quite large problems in which the objective function is nonlinear and the constraints linear. The original MINOS code has been extended in various ways by Murtagh, Saunders and co-workers since the original 1978 landmark paper. Extensions have dealt with methods to handle both nonlinear constraints, most notably MINOS/AUGMENTED and integer requirements on a subset of the …

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Sliding-Mode Observers Based On Equivalent Control Method, Sergey V. Drakunov Dec 1991

Sliding-Mode Observers Based On Equivalent Control Method, Sergey V. Drakunov

Sergey V. Drakunov

No abstract provided.

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Undergraduates, The Right Questions, And Cayley Produce Results, Gary J. Sherman Dec 1991

Undergraduates, The Right Questions, And Cayley Produce Results, Gary J. Sherman

Mathematical Sciences Technical Reports (MSTR)

During the summers of 1989, 1990, and 1991, eighteen undergraduates participated in a National Science Foundation Research Experiences for Undergraduates program at Rose-Hulman for which the author was the principal investigator. This paper provides some examples of the mathematics discovered during these three summers and discusses the philosophy, environment and process which made these discoveries possible.

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Discrete Simulation Of Fractional Order Systems, Jeffrey A. Blank Dec 1991

Discrete Simulation Of Fractional Order Systems, Jeffrey A. Blank

Theses and Dissertations

Fractional calculus has been shown useful for describing many real world systems, and studies are currently underway to generalize control theory to incorporate fractional states. This investigation derives a method for simulating the time response of fractional order systems using a recursive difference equation. The technique used effectively approximates a simple fractional order integrator as a summation of integer order terms. The discrete transfer function is also derived and the frequency response of the discrete algorithm is compared to the exact continuous case. Using 20 or more retained past values in the difference equation, the discrete half-order integrator demonstrates a …

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Convection In The Melt, John Bryant Drake Dec 1991

Convection In The Melt, John Bryant Drake

Doctoral Dissertations

A physical problem involving the melting/freezing of a phase-change material (PCM) is the applied setting of this research. The development of models that couple the partial differential equations for energy transport and fluid motion with phases of differing densities is a primary goal of the research. In Chapter 2, a general framework is developed for the formulation of conservation laws that admit interfaces. A notion of weak solution is developed and its relation with classical and other weak formulations is discussed. Conditions that hold across various kinds of interfaces are also developed. The formulation is examined for the conservation of …

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Linear Algebra By Analogy, Scott H. Hochwald Nov 1991

Linear Algebra By Analogy, Scott H. Hochwald

Scott H. Hochwald

No abstract provided.

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Characterization Of Knot Complements In The 4-Sphere, Vo Thanh Liem, Gerard A. Venema Nov 1991

Characterization Of Knot Complements In The 4-Sphere, Vo Thanh Liem, Gerard A. Venema

University Faculty Publications and Creative Works

Knot complements in S4 are characterized as follows: A connected open set W ⊂ S4 is homeomorphic to the complement of some locally flat 2-sphere in S4 if and only if H1(W) is infinite cyclic, W has one end, and the fundamental group of that end is infinite cyclic. Applications include a characterization of weakly flat 2-spheres in S4 and a complement theorem for 2-spheres in S4.

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More Upper Bounds On The 3-Rewriteability Of Non-3-Rewriteable Groups, Eric Wepsic Nov 1991

More Upper Bounds On The 3-Rewriteability Of Non-3-Rewriteable Groups, Eric Wepsic

Mathematical Sciences Technical Reports (MSTR)

We find an upper bound on the probability that a randomly selected triple in a group is 3-rewriteable, and a bound for the core set rewriteability.

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How To Pick Out The Integers In The Rationals - An Application Of Number-Theory To Logic, D. Flath, Stan Wagon Oct 1991

How To Pick Out The Integers In The Rationals - An Application Of Number-Theory To Logic, D. Flath, Stan Wagon

Stan Wagon, Retired

No abstract provided.

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Cyclicizers, Centralizers, And Normalizers, David Patrick, Eric Wepsic Oct 1991

Cyclicizers, Centralizers, And Normalizers, David Patrick, Eric Wepsic

Mathematical Sciences Technical Reports (MSTR)

Our goal is to define the cyclicizer, which is analogous to the centralizer and normalizer, and to examine groups in which these subsets have certain special properties.

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Templates And Framed Braids, Paul Melvin, N. B. Tufillaro Sep 1991

Templates And Framed Braids, Paul Melvin, N. B. Tufillaro

Mathematics Faculty Research and Scholarship

We show how a template for a dynamical system can be uniquely specified by a framed braid. This leads to a homological classification of strange attractors in terms of an associated linking matrix.

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Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen Sep 1991

Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen

Scholarship and Professional Work - LAS

No abstract provided.

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The Arboricity Of The Random Graph, Paul A. Catlin, Zhi-Hong Chen Sep 1991

The Arboricity Of The Random Graph, Paul A. Catlin, Zhi-Hong Chen

Scholarship and Professional Work - LAS

No abstract provided.

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Some Complex Grassmannian Manifolds That Do Not Fibre Nontrivially, John Ferdinands Aug 1991

Some Complex Grassmannian Manifolds That Do Not Fibre Nontrivially, John Ferdinands

University Faculty Publications and Creative Works

A finite CW complex X is said to be prime if, given a Hurewicz fibration F→E→B with E homotopy equivalent to X, and B and F homotopy equivalent to finite CW complexes, either B or F is contractible. We show that certain 3- and 4-plane complex Grassmanian manifolds are prime. © 1991.

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Counting Centralizers In Finite Groups, Sarah Marie Belcastro, Gary J. Sherman Aug 1991

Counting Centralizers In Finite Groups, Sarah Marie Belcastro, Gary J. Sherman

Mathematical Sciences Technical Reports (MSTR)

We discuss various results on the number of commuting pairs and the sizes of the centralizers of a group.

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Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li Aug 1991

Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li

Yi Li

No abstract provided.

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Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li Aug 1991

Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li

Mathematics and Statistics Faculty Publications

No abstract provided.

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Allocations To Discriminated Players In Discriminatory Von Neumann-Morgenstern Solutions, J. G. C. Heijmans Aug 1991

Allocations To Discriminated Players In Discriminatory Von Neumann-Morgenstern Solutions, J. G. C. Heijmans

Mathematics Technical Papers

Von Neumann-Morgenstern solutions (stable sets) for cooperative sidepayment games are notoriously difficult to find. This paper provides guidelines on how to find discriminatory vN-M solutions and exhibits some difficulties one may encounter. Easy to use necessary restrictions on the allocations to the discriminated players are derived. Easy to use complete characterisations of discriminatory vN-M solutions for simple games and of discriminatoy vN-M solutions with some additional structure for arbitrary games are provided.

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On Some Problems In Analysis Of Covariance Structure., Sadhan Samar Maiti Dr. Jul 1991

On Some Problems In Analysis Of Covariance Structure., Sadhan Samar Maiti Dr.

Doctoral Theses

In recent years, the teahniques of struotural analynie of covarianoe and correlation matrioes have frequently be en employed espeed ally in the s ooial and behavioural soieno es for analysing multivariate data. Analysis of covarlance structures (ACOVS) lea; generie tem describing a variety of statistioal procedures for testing and measuring the goodnese-of-fit of certain types of struotures postulated a priori for the cova- riance matrix by plaoing al temative restriotione on the para- neter natrioes of the general model" [Mukherjee, 1976, p. 132].The aoronyn AOOVS' standa for; analyeis of covarianoe atructurea; and waa firat proposed by Book (1960) as a …

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Difference Sets In Abelian 2-Groups, James A. Davis Jul 1991

Difference Sets In Abelian 2-Groups, James A. Davis

Department of Math & Statistics Faculty Publications

Examples of difference sets are given for large classes of abelian groups of order 22d + 2. This fills in the gap of knowledge between Turyn's exponent condition and Dillon's rank condition. Specifically, it is shown thatℤ/(2d)×ℤ/(2d+2) andℤ/(2d+1)×Z/(2d+1) both admit difference sets, and these have many implications.

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Analysis And Finite-Element Approximation Of Optimal-Control Problems For The Stationary Navier-Stokes Equations With Distributed And Neumann Controls, Max D. Gunzburger, L. Hou, Tom Svobodny Jul 1991

Analysis And Finite-Element Approximation Of Optimal-Control Problems For The Stationary Navier-Stokes Equations With Distributed And Neumann Controls, Max D. Gunzburger, L. Hou, Tom Svobodny

Mathematics and Statistics Faculty Publications

We examine certain analytic and numerical aspects of optimal control problems for the stationary Navier-Stokes equations. The controls considered may be of either the distributed or Neumann type; the functionals minimized are either the viscous dissipation or the L4-distance of candidate flows to some desired flow. We show the existence of optimal solutions and justify the use of Lagrange multiplier techniques to derive a system of partial differential equations from which optimal solutions may be deduced. We study the regularity of solutions of this system. Then, we consider the approximation, by finite element methods, of solutions of the …

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Integer Triangles With Rational Medians, Bart Goddard, Dale Mesner Jul 1991

Integer Triangles With Rational Medians, Bart Goddard, Dale Mesner

Mathematical Sciences Technical Reports (MSTR)

A characterization of all integer-sided triangles with a rational median is given, similar to the categorization of Pythagorean triangles. An infinite family of integer-sided triangles with two rational medians is given, along with several examples of three rational medians. All examples come from solutions to systems of quadratic Diophantine equations.

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A Result On Dillon's Conjecture In Difference Sets, James A. Davis Jul 1991

A Result On Dillon's Conjecture In Difference Sets, James A. Davis

Department of Math & Statistics Faculty Publications

Dillon has conjectured that any group of order 22d+2 with a normal subgroup isomorphic to Z2d+1 will have a difference set. He was able to show that this is true if the subgroup is central: this paper extends that idea to noncentral subgroups.

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