Digital Commons Network^™

Coarse Topologies In Nonstandard Extensions Via Separative Ultrafilters, Paul Bankston

Mathematics, Statistics and Computer Science Faculty Research and Publications

No abstract provided.

New Relativistic Paradoxes And Open Questions, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Following the Special Theory of Relativity, Florentin Smarandache generalized the Lorentz Contraction Factor to an Oblique-Contraction Factor, which gives the contraction factor of the lengths moving at an oblique angle with respect to the motion direction. He also proved that relativistic moving bodies are distorted, and he computed the Angle-Distortion Equations.

He then showed several paradoxes, inconsistencies, contradictions, and anomalies in the Theory of Relativity.

According to the author, not all physical laws are the same in all inertial reference frames, and he gives several counter-examples. He also supports superluminal speeds, and he considers that the …

Problemes Avec Et, Sans Problemes!, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

Quantitative Estimates For Lp Approximation With Positive Linear Operators, J. J. Swetits, B. Wood

Mathematics & Statistics Faculty Publications

Quantitative estimates for approximation with positive linear operators are derived. The results are in the same vein as recent results of Berens and DeVore. Two examples are provided.

The Least Fixed Point Property For Ω-Chain Continuous Functions, Joe Mashburn

Mathematics Faculty Publications

A partially ordered set P is ω-chain complete if every countable chain (including the empty set) in P has a supremum. … Notice that an ω-chain continuous function must preserve order. P has the (least) fixed point property for ω-chain continuous functions if every ω-chain continuous function from P to itself has (least) fixed point.

It has been shown that a partially ordered set does not have to be ω-chain complete to have the least fixed point property for ω-chain continuous functions. This answers a question posed by G. Plotkin in 1978. I.I. Kolodner has shown that an ω-chain complete …

Essentially Indecomposable Modules Over A Complete Discret Valuation Ring, Brendan Goldsmith

Articles

No abstract available

Topological Extensions And Subspaces Of Ηα-Sets, Paul Bankston

Mathematics, Statistics and Computer Science Faculty Research and Publications

The η_x-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽ exp(exp(2^<α)) in the Stone-Čech case). If Q_α denotes the unique (when it exists) η_α -set of cardinality α, then Q_α can be decomposed (= partitioned) into homeomorphs of any prescribed nonempty subspace; moreover the subspaces of Q_α can be characterized as those which arc regular T₁, of cardinality and weight ≼ α, whose topologies are closed under < α intersections.

On The Theory Of Homogeneous Lipschitz Spaces And Campanato Spaces, Harvey Greenwald

Mathematics

In this paper the equivalence between the Campanato spaces and homogeneous Lipschitz spaces is shown through the use of elementary and constructive means. These Lipschitz spaces can be defined in terms of derivatives as well as differences.

On Measures And Distinguishability, Gregory Mellema

University Faculty Publications and Creative Works

No abstract provided.

The Intervals Of The Lattice Of Recursively Enumerable Sets Determined By Major Subsets, Wolfgang Maass, Michael Stob

University Faculty Publications and Creative Works

No abstract provided.

The Design And Implementation Of A Tutorial Program To Perform Symbolic Mathematics, Richard Derek Otieno

Theses and Dissertations

The purpose of this thesis is to design and implement a program that could be used for a drill in symbolic mathematics. The scope of the program with respect to the range of problems that it solves is limited to selected types from elementary algebra, trigonometry, differential calculus, and integral calculus. The program is designed, not only to give solutions (answers), but also to provide several of the intermediate steps leading to the final result.

FORMAC73 and PL/1 are used to implement the program. FORMAC73 is a system and a language for manipulating mathematical expressions, symbolically. The facilities of PL/1 …

A Comparison Of Processor Technologies, Eddie R. Wachter

Theses and Dissertations

The purpose of this paper is to present a discussion of the technology implementation and design of four very high performance mainframe computer systems. The systems evaluated are:

Amdahl 580 Series

CDC 170 Series 800

IBM 308x Series

Univac 1100/90 Series

Included in this evaluation is a survey of the technology used, its characteristics, packaging and performance. Each system component is evaluated on the basis of design philosophy, technology, and the total system design with regards to reliability, availability, and performance.

On The First Passage Time Distribution For A Class Of Markov Chains, Mark Brown, Narasinga Rao Chaganty

Mathematics & Statistics Faculty Publications

Consider a stochastically monotone chain with monotone paths on a partially ordered countable set S. Let C be an increasing subset of S with finite complement. Then the first passage-time from i ∈ S to C is shown to be IFRA (increasing failure rate on the,av;rage). Several applications are presented including coherent systems, shock models, and convolutions of IFRA distributions.

Zeta Matrices Of Elliptic Curves, Goro Kato, Saul Lubkin

Mathematics

Let O=lim_nZ/pⁿZ, , let A=O[g₂,g₃] Δ, where g₂ and g₃ are coefficients of the elliptic curve: Y² = 4X³ − g₂X − g₃ over a finite field and Δ = g₂³ − 27g₃² and let B=A[X,Y]/(Y²-4X³+g₂X+g₃). Then the p-adic cohomology theory will be applied to compute explicitly the zeta matrices of the elliptic curves, induced by the pth power map on the free AzQ -module H1(X, AzQ). Main results are; Theorem 1.1: X …

Computer-Oriented, N-Body Modelling Of Minimal Surfaces, Donald Greenspan

Mathematics Technical Papers - Archive

In this paper a new approach to the modeling of minimal surfaces is described and applied. Rather than use a continuous model, we develop a discrete n-body model with basic tensile interactions derived from classical molecular force formulas. Computer results area described and discussed.

A Monte Carlo Study Of Robustness Of Preliminary Test Estimators In Pooling Means, Chien-Pai Han, T. A. Bancroft

Mathematics Technical Papers - Archive

Pooling data, when justified, for estimating the target mean is advantageous when the sample size is small from the target population. In case it is doubtful whether two sets of data have the same mean, a normal test or a t test can be used for testing the equality of the two means depending on variance known or unknown. A preliminary test estimator is then constructed for estimating the population mean. We study the robustness of the preliminary test estimators when certain populations are not normal. The result of a Monte Carlo study is given, when the populations are either …

Scs 75: Distributive Semilattices, Heyting Algebras, And V-Homomorphisms, Hans Dobbertin

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Scs 74: Distributive Semilattices, Hans Dobbertin

Seminar on Continuity in Semilattices

No abstract provided.

India's External Debts: Growth, Determinants And Impact, Sanjib Pohit Dr.

Doctoral Theses

In the post-World War Il era, the world saw the birth of many new nations. Primarily, they were the colonies of the industrialized countries and were developed only to supply raw materials to the colonizing country. Rightly, attention was focused to develop the economies of these countries. The ear- lier studies of the economic problems of developing countries has focused on a lack of capital, both physical and human. Rapid progress in solving these problems is scen to be hindered by a number of constrainte-domestic savings, foreign exchange and human skills. In this setup, external finance can further growth by …

Ideals And Centralizing Mappings In Prime Rings, Joseph H. Mayne

Mathematics and Statistics: Faculty Publications and Other Works

Let H be a prime ring and U be a nonzero ideal of R. If T is a nontrivial automorphism or derivation of Ft such that uuT — uTu is in the center of R and uT is in U for every u in U, then R is commutative. If R does not have characteristic equal to two, then U need only be a nonzero Jordan ideal.

Scs 73: Meet-Continuous Lattices In Which Meet Is Not Continuous, Marcel Erné, Hartmut Gatzke

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 3, No. 1, Wku Mathematics & Computer Science

WKU Administration Documents

Newsletter created by the Ogden Computer Laboratory to promote services, courses, hardware, software and student activities.

On The Existence Of Periodic Quasi Solutions For First Order Systems, A. S. Vatsala

Mathematics Technical Papers - Archive

Recently the method of upper and lower solutions and Lyapunov-Schmitt method have been fruitfully employed to prove the existence of periodic solutions for scalar first and second order equations in [2,4]. In this paper we shall use this technique to prove the existence of periodic solutions for first order systems which is the generalisation of Müller's result [3] for periodic case. We shall also develop monotone iterative technique to obtain coupled minimal and maximal periodic quasisoltions for system of first order equations. Further, under a uniqueness assumption, our results yield a unique periodic solution for the first order system.

Scs 72: Algebraic Posets And Compactly Generated Posets, Marcel Erné

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Random Factors And Isofactors In Graphs And Digraphs, John Frederick Fink

Dissertations

A factor is a spanning sub(di)graph of a (di)graph. Factors that are generated by an algorithm that incorporates an element of randomness are often called random factors. An isofactor is essentially a factor G that is either empty or for which there exists a connected regular (di)graph H having a nontrivial G-factorization. Several topics, each concerning random factors or isofactors, are investigated in this dissertation. An historical introduction to these topics is given in Chapter I.

In Chapter II we define an antipath and say that a digraph is randomly antitraceable if every nonspanning antipath can be extended (at its …

Conditional Generalizations Of Strong Laws Which Conclude The Partial Sums Converge Almost Surely, Theodore P. Hill

Research Scholars in Residence

Suppose that for every independent sequence of random variables satisfying some hypothesis condition H, it follows that the partial sums converge almost surely. Then it is shown that for every arbitrarily-dependent sequence of random variables, the partial sums converge almost surely on the event where the conditional distributions (given the past) satisfy precisely the same condition H. Thus many strong laws for independent sequences may be immediately generalized into conditional results for arbitrarily-dependent sequences.

Hardy And Lipschitz Spaces On Unit Spheres, Leonardo Colzani

Arts & Sciences Graduate Student Theses and Dissertations

The main objective of this work is to develop a theory of Hardy spaces on the surface (SIGMA)(,N) of the unit ball B(,N+1) in (//R)('N+1), analogous to the maximal and atomic theory of Hardy spaces on (//R)('N), and to characterize the duals of these spaces as spaces of Lipschitz functions.

Scs 71: Two Remarkable Continuous Posets And An Appendix To "The Cl-Compactification And The Injective Hull Of A Continuous Poset", Rudolf-Eberhard Hoffmann

Seminar on Continuity in Semilattices

No abstract provided.

Scs 70: Freedom For Completely Distributive Lattices (Over Continuous Posets), Marcel Erné

Seminar on Continuity in Semilattices

No abstract provided.

Scs 69: Order Generation And Distributive Laws In Complete Lattices, Marcel Erné

Seminar on Continuity in Semilattices

No abstract provided.