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Sample Solutions Of Stochastic Ordinary Differential Equations, K. Waling

Mathematics Technical Papers - Archive

Motivated by the stochastic differential equation[see pdf for notation] in [see pdf for notation] we prove a measurable dependence on parameters theorem for ODEs in case f is only continuous in [see pdf for notation] is done by means of a known result about measurable selections of multivalued maps. Afterwards we discuss consequences for stochastic ODEs.

An Elementary Algebraic Method For Approximating Average Radii Of First And Secong Ring Electrons, Donald Greenspan

Mathematics Technical Papers - Archive

In this paper, experimental ionization energies are used to determine algebraic equations whose solutions approximate relativistic quantum mechanical estimates of average atomic radii. These algebraic equations are nonlinear and are solved on a digital computer by Newton's method. Pairing is an essential element in the formulation.

Sample Solutions Of Stochastic Boundary Value Problems, V. Lakshmikantham, G. S. Ladde, K. Deimling

Mathematics Technical Papers - Archive

We prove existence theorems for nonlinear stochastic Sturmiouville problems which improve results from [4]. In the simplest case this is done by means of a known result about measurable selections of multivalued maps and a new fixed point theorem for stochastic nonlinear operators which is more realistic than existing ones.

Review Of "The Future Of College Mathematics" Edited By A. Ralston And G. S. Young, Stephen B. Maurer , '67

Mathematics & Statistics Faculty Works

No abstract provided.

Existence And Regularity Theory For Isoperimetric Variational Problems On Orlicz-Sobolev Spaces: A Review, Pierre A. Vuillermot

Mathematics Technical Papers - Archive

In this review article, we outline and discuss our most recent results regarding the existence and the regularity theory for a class of strongly nonlinear eigenvalue problems on Orlicz-Sobolev spaces, with a glance at other contemporary attempts to understand the structure of some strongly nonlinear variational boundary-value problems defined on certain nonreflexive Banach spaces. The class of eigenvalue problems recently investigated can best be defined as follows. With [see pdf for notation] be an open bounded domain with closure -6 and smooth [see pdf for notation] boundary asp; let [see pdf for notation] be a family of [see pdf for …

Interval Estimation Of The Noncentrality Parameter Of A Gamma Distribution, Chien-Pai Han, Paul Chiou

Mathematics Technical Papers - Archive

Asymptotic confidence interval for the noncentrality parameter of a Gamma distribution (or Chi-squared distribution) is derived. An algorithm for computing the maximum likelihood estimator of the non-centrality parameter is developed. A formula for the asymptotic variance of the maximum likelihood estimator is given. From the properties of the maximum likelihood estimator an asymptotic confidence interval is obtained.

On The Choice Of Shadow Prices For Project Evaluation., Jean Dreze Dr.

Doctoral Theses

Manohar athanna is one of the remotest parts of Jhalawar District (Rajasthan, India). In the month of June it offers a striking contrast of scenic beauty and economic destitution. Agricultural activity is at a virtual standstill. The soil is very arid, irrigation practically non-existent, and by then the villagers (many of them tribals) have resolved to wait upon the good will of the rain gods.. Hence they have very little to do, or at least so they believe. Some gather wood to sell it in Manohar, walking miles under the scorching sun for a meagre reward, and adding slowly but …

[See Pdf For Notation]-Reularity For The Solution Of Strongly Nonlinear Eigenvalue Problems On Orlicz-Sobolev Spaces, Pierre A. Vuillermot

Mathematics Technical Papers - Archive

We present a new method to prove the [see pdf for notation]-regularity of the eigenfunctions for Dirichlet problems with strictly convex Young functionnonlinearities in their principal part. The basic idea is threefold: we first invoke the topological methods of [12] to infer the existence of a countable infinity of [see pdf for notation]-eigensolutions; we then use Schauder's inversion technique to associate with each one of these eigensolutions a unique [see pdf for notation]-solution of an auxiliary Dirichlet problem; we finally prove the [see pdf for notation]-regularity of the original elgensolutions from the [see pdf for notation]-regularity of the auxiliary solutions, …

Deformation And Linkage Of Gorenstein Algebras, Andrew R. Kustin, Matthew Miller

Faculty Publications

General double linkage of Gorenstein algebras is defined. Rigidity, genericity, and regularity up to codimension six all pass across general double linkage. Rigid strongly unobstructed codimension four Gorenstein algebras which lie in different Herzog classes are produced.

On The Genus Of A Block Design, Joan Marie Rahn

Dissertations

The genus of a design (BIBD or PBIBD) is defined to be the genus of its corresponding hypergraph (objects as vertices, blocks as edges); that is, the genus of the bipartite graph associated with the hypergraph in a natural way. The Euler formula is used to establish a lower bound (gamma) for the genus of a block design. An imbedding of the design of the surface of genus (gamma) is then described by a voltage hypergraph or voltage graph. Use of the lower bound formula leads to a characterization of planar BIBDs. A connection between a block design derived from …

Difference Equations, Isoperimetric Inequality And Transience Of Certain Random Walks, Jozef Dodziuk

Publications and Research

No abstract provided.

Scs 94: Algebraic Theories For Proper Filter Monads, Oswald Wyler

Seminar on Continuity in Semilattices

No abstract provided.

On Maximizing The Average Time At A Goal, S. Demko, Theodore P. Hill

Research Scholars in Residence

In a decision process (gambling or dynamic programming problem) with finite state space and arbitrary decision sets (gambles or actions), there is always available a Markov strategy which uniformly (nearly) maximizes the average time spent at a goal. If the decision sets are closed, there is even a stationary strategy with the same property.Examples are given to show that approximations by discounted or finite horizon payoffs are not useful for the general average reward problem.

The Expectation Of Success Using A Monte Carlo Factoring Method – Some Statistics On Quadratic Class Numbers, Duncan A. Buell

Faculty Publications

A method has been proposed for factoring an integer N by using the structure of the class groups of quadratic fields of radicand – kN for various small multipliers k. We discuss the method and an implementation of the method, and various theoretical questions which have an impact on the practical use of the method in factoring. Some of the theoretical questions relate to the nature of class numbers and class groups; we present extensive statistical results on the class numbers and class groups of imaginary quadratic fields.

Triple Trigonometric Series And Their Application To Mixed Boundary Value Problems, Gordon Melrose

Mathematics & Statistics Theses & Dissertations

In this dissertation the author investigates some triple trigonometric series which occur in the solution of mixed boundary value problems in elasticity and potential theory. By choosing a suitable integral representation for the sequence of unknown constants, the problem is reduced to solving a singular integral equation of the first kind. Twenty four cases in which the integral equation can be solved in closed form are discussed in detail.

In later chapters, the application of triple trigonometric series to problems in physics and engineering is demonstrated and closed form solutions for the physical parameters of interest are obtained.

Expressive Power In First Order Topology, Paul Bankston

Mathematics, Statistics and Computer Science Faculty Research and Publications

A first order representation (f.o.r.) in topology is an assignment of finitary relational structures of the same type to topological spaces in such a way that homeomorphic spaces get sent to isomorphic structures. We first define the notions "one f.o.r. is at least as expressive as another relative to a class of spaces" and "one class of spaces is definable in another relative to an f.o.r.", and prove some general statements. Following this we compare some well-known classes of spaces and first order representations. A principal result is that if X and Y are two Tichonov spaces whose posets of …

On The Differentiability Of Functions In Rn, Ronald A. Devore, Robert C. Sharpley

Faculty Publications

No abstract provided.

Scs 93: Refinement Monoids, Hans Dobbertin

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Scs 92: Products Of Continuous Partially Ordered Sets, Marcel Erné

Seminar on Continuity in Semilattices

No abstract provided.

Scs 91: Compactly Generated And Continuous Closure Systems, Marcel Erné

Seminar on Continuity in Semilattices

No abstract provided.

Scs 90: About Polytopes Of Valuations On Finite Distributive Lattices, Hans Dobbertin

Seminar on Continuity in Semilattices

No abstract provided.

Scs 89: Continuity Concepts For Partially Ordered Sets, Marcel Erné

Seminar on Continuity in Semilattices

No abstract provided.

Particle Simulation Of Compression Waves, Donald Greenspan

Mathematics Technical Papers - Archive

Compression waves are studied using a quasi-molecular, particle approach. Explosive type disturbances are simulated to generate such waves, which propagate by the interaction of each particle with its immediate neighbors. Obstacles to wave motions are studied by the introduction of variable densities. Computer examples are described and discussed.

Error-Bounds For Gaussian Quadrature And Weighted-L1 Polynomial Approximation, Ronald A. Devore, L R. Scott

Faculty Publications

Error bounds for Gaussian quadrature are given in terms of the number of quadrature points and smoothness properties of the function whose integral is being approximated. An intermediate step involves a weighted-L' polynomial approximation problem which is treated in a more general context than that specifically required to bound the Gaussian quadrature error.

Scs 88: A Proof Of A Theorem Of B. B., Klaus Keimel

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

The Chromatic And Cochromatic Number Of A Graph, John Gordon Gimbel

Dissertations

Clearly, there are many ways that one can partition the vertex sets of graphs. In the first chapter of this work I examine the problem of determining, for a given graph, the minimum order of a vertex partition having specified properties. In the remaining chapters I concentrate on partitions of two types--those in which each subset induces an empty graph and those in which each subset induces an empty or a complete graph.

The chromatic number of a graph G is the minimum number of subsets into which V(G) can be partitioned so that each subset induces an empty graph. …

Block Transform Coding Of Presample Filtered Data, Thomas A. Shull

Electrical & Computer Engineering Theses & Dissertations

This dissertation addresses the application of non-adaptive transform coding for bit rate reduction of presampled filtered data. Transform coding is examined as an alternative to conventional pulse code modulation (PCM) for multi-source, fixed rate data acquisition systems. Typical bandlimiting presample filters introduce redundancy into the sequence of data samples. Linear transformation of successive N-length blocks of the data sequence and subsequent binary coding of the resulting components is shown to lead to reduced average bit rate for the same less distortion as PCM.

Four Butterworth filters, two corresponding to eight bit PCM systems, and two corresponding to ten bit PCM …

Space Charge Limit Instabilities In Electron Beams, Evangelos A. Coutsias, D.J. Sullivan

Branch Mathematics and Statistics Faculty and Staff Publications

The method of characteristics and multiple-scaling perturbation techniques are used to study the space-charge instability of electron beams. It is found that the stable oscillating state (virtual cathode) created when the space-charge limit is exceeded is similar to a collisionless shock wave. The oscillatory solution originates at the bifurcation point of two unstable steady states. Complementary behavior (virtual anode) results when an ion beam exceeds its space-charge limit. The virtual cathode can also exist in the presence of a neutralizing heavy-ion background. The Pierce instability, where the electron and ion charge densities are equal, is a special case of this …

Cultural Commentary: What Hath Rubik Wrought?, Thomas E. Moore

Bridgewater Review

In May, 1980 the Ideal Toy Company launched its newest offering, Rubik’s Cube, at a party in Hollywood, hosted by Zsa-Zsa Gabor and Solomon W. Golomb. Of course Gabor, like the cube, is a Hungarian product but who is Golomb? Well, he is a mathematician at the University of Southern California and an expert in number theory, combinatorics, abstract algebra and coding theory. Rubik invented the cube as an aid in teaching his students three-dimensional thinking. The cube has become the darling of algebraists, who use it to teach group theory to their students.

Bargaining Sets With Thresholds, Irinel C. Dragan

Mathematics Technical Papers - Archive

A concept of bargaining set for cooperative n person games with side payments has been defined by assuming that a player could be attracted in a new coalition only if his supplementary gain exceeds a fixed threshold and could reject a new coalition only if his loss exceeds another fixed threshold. Necessary and sufficient conditions for the existence of the objections with thresholds and for the existence of the counter objections with thresholds associated to couples consisting of a group of players and a coalition structure subjected to some conditions have been proved. These results enabled us to state a …