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Articles 25681 - 25710 of 27387

Full-Text Articles in Physical Sciences and Mathematics

A New Approach To The Stability Theory Of Functional Differential Systems, G. R. Shendge Jan 1982

A New Approach To The Stability Theory Of Functional Differential Systems, G. R. Shendge

Mathematics Technical Papers

In the study of stability theory for delay differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to choose an appropriate minimal class of functions relative to which [see pdf for notation] is estimated [3]. This approach has recently been recognized [3] as a very natural method in the study of the qualitative behavior of delay differential equations.

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Sequential Probability Ratio Tests For The Shape Parameter Of A Nonhomogeneous Poisson Process, Lee J. Bain, Max Engelhardt Jan 1982

Sequential Probability Ratio Tests For The Shape Parameter Of A Nonhomogeneous Poisson Process, Lee J. Bain, Max Engelhardt

Mathematics and Statistics Faculty Research & Creative Works

Sequential probability ratio tests for the shape parameter of one or more nonhomogeneous Poisson processes, with power intensity functions, are provided. The tests can be performed when the scale parameter is an unknown nuisance parameter; the effective loss of not knowing the scale parameter is one observation per process. The resulting tests can be expressed in terms of the maximum likelihood estimators of the shape parameters for the usual fixed sample procedure. A further advantage of the present approach is that the scale parameters for different processes, in the multiple sample procedures, need not be equal. Approximations for the operating …

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Local Lp-Saturation Of Positive Linear Convolution Operators, J. J. Swetits, B. Wood Jan 1982

Local Lp-Saturation Of Positive Linear Convolution Operators, J. J. Swetits, B. Wood

Mathematics & Statistics Faculty Publications

Local Lp-saturation of positive linear convolution operators is investigated. Results are obtained for two important classes of operators previously studied by Bojanic, DeVore, Korovkin and the authors.

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Smallest Cubic And Quartic Graphs With A Given Number Of Cutpoints And Bridges, Gary Chartrand, Farrokh Saba, John K. Cooper Jr., Frank Harary, Curtiss E. Wall Jan 1982

Smallest Cubic And Quartic Graphs With A Given Number Of Cutpoints And Bridges, Gary Chartrand, Farrokh Saba, John K. Cooper Jr., Frank Harary, Curtiss E. Wall

Mathematics & Statistics Faculty Publications

For positive integers b and c, with c even, satisfying the inequalities b+1≤c≤2b, the minimum order of a connected cubic graph with b bridges and c cutpoints is computed. Furthermore, the structure of all such smallest cubic graphs is determined. For each positive integer c, the minimum order of a quartic graph with c cutpoints is calculated. Moreover, the structure and number of all such smallest quartic graphs are determined.

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Unbounded Functions And Positive Linear-Operators, J. J. Swetits, B. Wood Jan 1982

Unbounded Functions And Positive Linear-Operators, J. J. Swetits, B. Wood

Mathematics & Statistics Faculty Publications

The approximation of unbounded functions by positive linear operators under multiplier enlargement is investigated. It is shown that a very wide class of positive linear operators can be used to approximate functions with arbitrary growth on the real line. Estimates are given in terms of the usual quantities which appear in the Shisha-Mond theorem. Examples are provided.

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Extensions, Generalizations, Characterizations And Testing For Independence Through Infinite Divisibility, Edward Joul Danial Jan 1982

Extensions, Generalizations, Characterizations And Testing For Independence Through Infinite Divisibility, Edward Joul Danial

Doctoral Dissertations

This dissertation investigates various related topics around the exciting concept: "Infinite Divisibility." First, two intricate distributions, namely, the univariate generalized Waring and the hyper-Poisson are proved to be infinitely and noninfinitely divisible, respectively. Analysis and computer approaches are employed. This itself extends the use of some results introduced by Katti, Steutel and Warde. Secondly, generalizations to Warde, Katti and Steutel's sufficient conditions and related results are achieved. Then, numerical application is presented. Thirdly, characterizations through infinite and finite divisibility are obtained. The Poisson, negative binomial, geometric, Bernoulli and uniform c haracterizations in terms of infinite divisibility are deduced. Some of …

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Invariance Of Properties Under Automorphisms Of The Lattice Of Recursively Enumerable Sets, Michael Stob Jan 1982

Invariance Of Properties Under Automorphisms Of The Lattice Of Recursively Enumerable Sets, Michael Stob

University Faculty Publications and Creative Works

No abstract provided.

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An Approximation Theorem In Shape Theory, Gerard A. Venema Jan 1982

An Approximation Theorem In Shape Theory, Gerard A. Venema

University Faculty Publications and Creative Works

In this paper it is shown that if X is a compactum in the interior of a PL manifold M and if U is a neighborhood of X in M, then there is a compactum X′ in U such that X and X′ have the same relative shape in U and the embedding dimension of X′ equals the fundamental dimension of X. Whenever the dimension of M is not equal to three, the relative shape equivalence from X′ to X can be realized by an infinite isotopy of M.

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Structural Properties Of Ideals, J. Baumgartner, A. Taylor, Stan Wagon Dec 1981

Structural Properties Of Ideals, J. Baumgartner, A. Taylor, Stan Wagon

Stan Wagon, Retired

No abstract provided.

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Asymptotic Theory Of Perturbed General Disconjugate Equations, William F. Trench Dec 1981

Asymptotic Theory Of Perturbed General Disconjugate Equations, William F. Trench

William F. Trench

No abstract provided.

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Combinatorics And Diagonals Of Matrices., K. Balasubramanian Dr. Dec 1981

Combinatorics And Diagonals Of Matrices., K. Balasubramanian Dr.

Doctoral Theses

This theale maindy desie with conbinatoriel aspocte of diayonale of natelees. or enurne, there are aleo eosulte which are nat sunbinatorial in naturos but thase ara neroly by-producta. Chapter-0 gives e very short nary ot the cnntenta of the theete. The raeulte aro ofr tuo kinde. (1) complately rev and (2) old results through rew rethude.Thịa thasle, wholly or pertly, has not baon subnittad to any othor Univerdity or Inatitute for e degree.I exprees hoceby ry doopost sonse of grotitude to br. KA. PARTHASARATHY, Haed of the Doparteant af Mathemties, Indian Inatituta of Tochmlogy, Redras, under uhana bonign guidance thie …

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Scs 62: Continuous Posets: Injective Hull And Macneille Completion, Rudolf-Eberhard Hoffmann Dec 1981

Scs 62: Continuous Posets: Injective Hull And Macneille Completion, Rudolf-Eberhard Hoffmann

Seminar on Continuity in Semilattices

No abstract provided.

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Metrizability And The Frechet-Urysohn Property In Topological Groups, Peter J. Nyikos Dec 1981

Metrizability And The Frechet-Urysohn Property In Topological Groups, Peter J. Nyikos

Faculty Publications

A question of Arhangel'skii, whether weakly first countable topological groups are metrizable, is answered in two ways: if the Hausdorff axiom is assumed, the answer is yes, but in general a weakly first countable topological group need not be pseudometrizable. The former result is obtained as a corollary of a more general sufficient condition for a sequential group to be Fr&chet-Urysohn. A general necessary and sufficient condition for a sequential group to be Frechet-Urysohn is given, and a number of questions are raised. Examples are given to show in what respect the theorems of the paper are the "best possible".

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Scs 61: The Category Cd Of Completely Distributive Lattices And Their Free Objects, Karl Heinrich Hofmann Nov 1981

Scs 61: The Category Cd Of Completely Distributive Lattices And Their Free Objects, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

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Scs 60: Miniworkshop On Continuous Lattices At Tulane University From Thursday, November 19, 1981 Through Saturday, November 21, 1981, Karl Heinrich Hofmann Nov 1981

Scs 60: Miniworkshop On Continuous Lattices At Tulane University From Thursday, November 19, 1981 Through Saturday, November 21, 1981, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

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Scs 59: Sober Quotients, John R. Isbell Nov 1981

Scs 59: Sober Quotients, John R. Isbell

Seminar on Continuity in Semilattices

No abstract provided.

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Additive Comparisons Of Stop Rule And Supremum Expectations Of Uniformly Bounded Independent Random Variables, Theodore P. Hill, Robert P. Kertz Nov 1981

Additive Comparisons Of Stop Rule And Supremum Expectations Of Uniformly Bounded Independent Random Variables, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

Let XI, X2, . . . be independent random variables taking values in [a, b], and let T denote the stop rules for X1, X2, Then E(supn>1 Xn) - sup{ EXt t ≡ T} < (1/4)(b - a), and this bound is best possible. Probabilistically, this says that if a prophet (player with complete foresight) makes a side payment of (b - a)/8 to a gambler (player using nonanticipating stop rules), the game becomes at least fair for the gambler.

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Bifurcation And Total Stability, V. Moauro, M. L. Bertotti Nov 1981

Bifurcation And Total Stability, V. Moauro, M. L. Bertotti

Mathematics Technical Papers

In this paper we are concerned with the problem of bifurcation of invariant sets from an invariant set with respect to a family of flows. In particular, we will suppose that such flows are defined by a one-parameter family of ordinary differential equations: [see pdf for notation] where [see pdf for notation], f is locally Lipschitzian with respect to x, f(µ,0) = 0. As is well known, bifurcation phenomenon is often associated with a drastic change of suitable stability properties. For example, let suppose that the origin 0 of Rn be, with respect to (1), asymptotically stable for µ = …

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Existence Of Periodic Solutions Of Nonlinear Boundary Value Problems And The Method Of Upper And Lower Solutions, V. Lakshmikantham, R. Kannan Nov 1981

Existence Of Periodic Solutions Of Nonlinear Boundary Value Problems And The Method Of Upper And Lower Solutions, V. Lakshmikantham, R. Kannan

Mathematics Technical Papers

We study the existence of periodic solutions of second order nonlinear differential equations by combining the method of upper and lower solutions and the method of Alternative problems. Besides including previous results of other authors, we obtain criteria which are easily verifiable. These criteria are in a form that they can be adapted for partial differential equations of parabolic and elliptic type.

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Nonuniqueness Criteria For Ordinary Differential Equations, Mansour Samimi Oct 1981

Nonuniqueness Criteria For Ordinary Differential Equations, Mansour Samimi

Mathematics Technical Papers

We consider an initial value problem (1.1) [see pdf for notation] where [see pdf for notation]. Several uniqueness results weaker than a Lipschitz condition are known, see [1,4]. However, results concerning with nonuniqueness criteria are rare. For the case n = 1, a nonuniqueness result was given in [5,6], see also [4]. Very recently the general case was also investigated in [3]. In this paper, we consider nonuniqueness problem from a very general point of view. Our first nonuniqueness result deals with the scalar case which extends the results of [5,6]. It also shows that when the conditions of general …

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Meet-Continuous Lattices In Which Meet Is Not Continuous, Marcel Erné, Hartmut Gatzke Sep 1981

Meet-Continuous Lattices In Which Meet Is Not Continuous, Marcel Erné, Hartmut Gatzke

Seminar on Continuity in Semilattices

No abstract provided.

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Scs 58: The Cl-Compactification Of A Continuous Poset, Rudolf-Eberhard Hoffmann Sep 1981

Scs 58: The Cl-Compactification Of A Continuous Poset, Rudolf-Eberhard Hoffmann

Seminar on Continuity in Semilattices

No abstract provided.

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Long-Time Behavior Of Ginzburg-Landau Systems Far From Equilibrium, Evangelos A. Coutsias, B. A. Huberman Sep 1981

Long-Time Behavior Of Ginzburg-Landau Systems Far From Equilibrium, Evangelos A. Coutsias, B. A. Huberman

Branch Mathematics and Statistics Faculty and Staff Publications

Using singular-perturbation techniques, we study the stability of modulated structures generated by driving Ginzburg-Landau systems far from equilibrium. We show that, far from equilibrium, the steady-state behavior is controlled by an effective Lagrangian which possesses the same functional form as the original free energy but with renormalized coefficients. We study both linear and nonlinear sources and determine their influence on the long-term stability of the bifurcating solutions.

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Existence And Monotone Method For Periodic Solutions Of First Order Differential Equations, S. Leela, V. Lakshmikantham Sep 1981

Existence And Monotone Method For Periodic Solutions Of First Order Differential Equations, S. Leela, V. Lakshmikantham

Mathematics Technical Papers

An attempt was made recently in [3] to combine fruitfully the two basic techniques, namely the method of upper and lower solutions and the Lyapunov-Schmitt method to investigate the existence of periodic solutions of second order nonlinear boundary value problems. in this paper, we utilize this fruitful approach to study existence of periodic solutions of first order nonlinear differential equations. We also develope monotone iterative technique for obtaining multiple periodic solutions which are obtained as limits of monotone sequences. Since each member of these sequences is a periodic solution of a linear differential equation of first order which can explicitly …

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Error Estimates Of Solutions And Mean Of Solutions Of Stochastic Differential Systems, M. Sambandham, G. S. Ladde Aug 1981

Error Estimates Of Solutions And Mean Of Solutions Of Stochastic Differential Systems, M. Sambandham, G. S. Ladde

Mathematics Technical Papers

Stochastic differential equations are considered. Estimates in terms of statistical properties are given for the difference between the solutions and solutions of the mean of stochastic differential systems. For this purpose necessary theorems are developed and sufficient conditions are given to obtain error estimates. A few examples are worked out to demonstrate the usefulness of the results.

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A New Computer Approach To Atomic And Molecular Dynamics With Application To The Water Molecule, Donald Greenspan Jul 1981

A New Computer Approach To Atomic And Molecular Dynamics With Application To The Water Molecule, Donald Greenspan

Mathematics Technical Papers

A new computer oriented theory for atomic and molecular dynamics is developed. In it are incorporated modifications of classical ideas which are motivated by modern particle theory, especially as it relates to the structure of the electron and to the existence of fractional charge. Computer results of a dynamical water molecule model, which are consistent with the bond angle and bond length vibrations of H2O, are described and discussed.

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Theology And Philosophy Of Mathematics, Russell V. Benson Jun 1981

Theology And Philosophy Of Mathematics, Russell V. Benson

ACMS Conference Proceedings 1981

This paper examines history and philosophy to explore the answer to the theological question of whether or not Christians should pursue the mathematical sciences.

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Some Contributions Of Stanley Jaki To An Understanding Of Mathematics, Paul Devries Jun 1981

Some Contributions Of Stanley Jaki To An Understanding Of Mathematics, Paul Devries

ACMS Conference Proceedings 1981

This paper comments on passages from the books by Stanley L. Jaki, Science and Creation, The Relevance of Physics, and The Road to Science and The Ways to God.

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Random Variables And A Sovereign God, Lloyd Montzingo Jun 1981

Random Variables And A Sovereign God, Lloyd Montzingo

ACMS Conference Proceedings 1981

This paper takes a brief look at the history of conflict between the concepts of chance and divine activity. After reviewing some evidence for randomness in the universe, present philosophical and theological views from four different scientists on this subject are presented. The discussion concludes with some questions and observations concerning those questions.

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A Response To Professor Poythress’S “Science As Allegory”, Paul Devries Jun 1981

A Response To Professor Poythress’S “Science As Allegory”, Paul Devries

ACMS Conference Proceedings 1981

This paper critiques some of the arguments given by Vern Sheridan Poythress in his paper, Science as Allegory, particularly about the claims that the universe is poetry and that science is poetry.

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