Physical Sciences and Mathematics Commons^™

Some Results About Basic Elements, Cancellation And Efficient Generation Of Modules Over Laurent Polynomial Rings., S. Mandal Dr.

Doctoral Theses

Unless otherwise stated all rings are assumed to be commutative and Noetherian with finite Krull dimension and modules are finitely generated. There are three related questions in commutative algebra. They are about the existence of unimodular elements in projective modules, cancellation of projective modules and minimal number of generators for finitely generated modules. In particular, determining the minimal number of generators of ideals is also of great interest in this area.In this thesis we shall be concerned with the above questions in the case of Laurent polynomial rings.The thesis consists of three Chapters. The main results are presented in Chapters …

Some Contributions To Bayes, Minimax And Admissible Decision Rules In One Parameter And Multiparameter Families., Anirban Das Gupta Dr.

Doctoral Theses

The study of admissible, minimax, and Bayes procedures has been of primary importance ever since the pioneering work of Wald (50). Since early seventies, new directions have been opening up, and not merely new techniques, completely new interpretations and interrelations have come to be known.To prove admissibility of estimates the most commonly used technique is to show that it is extended Bayes and approximate its risk by the risk of the corresponding Bayes estimates. This technique is due to Blyth (51). A sort of conver se result, which cssentially shows that this technique must work for all admissible est imates …

Optimal Strategies Under Superpopulation Models., V. R. Padmawar Dr.

Doctoral Theses

Though the concept of survey sampling is very old and has alvays been in vogue 1t in only during the thirties and forties that a nore syatenatis developnent of the theory of sample surveyo tock place vith the introduction of ideas 1ike sapling without replacenent, probability sapling and stratification. Howovcr, a large nunber of tochniques developad and practiaud during this pariod had nostly edther empirical or intuitive basdo. It usa nuah later that attention vas paid to the purely theörotioal aspect of the dovelepmont of the survey ascipling.The Main problem of sipling tron finite populatian conalata of devising an appropriate …

Extension Of Compartmental Parameters To Blocks Of Compartments With Application To Lipoprotein Kinetics, S. M. Grundy, Jerome Eisenfeld

Mathematics Technical Papers

Suppose that the compartments of a compartmental model are separated into blocks (sets of compartments). In general, the blocks can not be regarded as compartments but it may be possible to construct a "condensation model," the compartments of which correspond to the blocks, in such a fashion so as to retain certain salient properties of the blocks. Condensation is a way of formally summarizing a large model by presenting a smaller one in order to emphasize certain characteristics.of the larger model. Suppose that the parameters to be retained are the mean residence times through the blocks. The paper deals with …

Scs 77: On The Pseudo-Spectrum Of A Continuous Distributive Lattice, Karl Heinrich Hofmann

Seminar on Continuity in Semilattices

No abstract provided.

Scs 76: The Trace Of The Weak Topology And Of The Γ-Topology Of L^{Op} Coincide On The Pseudo-Meet-Prime Elements Of A Continuous Lattice L, Rudolf-Eberhard Hoffmann

Seminar on Continuity in Semilattices

No abstract provided.

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.

Homomorphisms For Equidistance Relations, Thomas Q. Sibley

Mathematics Faculty Publications

This paper presents necessary and sufficient conditions for the existence of homomorphisms for equidistance relations in terms of the closed subsystems (the Fundamental Theorem of Homomorphisms). Further, it shows that every closed subsystem of a 1-point homogenous equidistance system is a coset of a unique homomorphism. Affine spaces and other incidence geometries can be seen as examples of equidistance systems.

Audio Magazine: Proposed Series Chapter 07 - The Delay Plane And Time Delay Distortion, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 7 discusses circuit theory and the Delay Plane.

Audio Magazine: Proposed Series Chapter 03 - Energy, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 3 discusses the partitions of energy to show that the prediction of relation is demonstrable.

Audio Magazine: Proposed Series Chapter 01 - Tds, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 1 introduces Heyser's logic for attempting to find a way to measure the subjective perception of sound.

Audio Magazine: Proposed Series Chapter 05, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 5 considers the predictions of the new paradigm and discusses the the abilities for operators to commute.

Audio Magazine: Proposed Series Chapter 06 - Measurement And Listening, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 6 demonstrates the second prediction of the new paradigm.

Audio Magazine: Proposed Series Chapter 11 - Conclusion, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 11 concludes the series and summaries the purpose of this study.

Alternatives In Quantum Theory, Richard C. Heyser

Unpublished Writings

Quantum mechanical descriptions in terms of momentum and position are identified as alternatives under the condition of equal complex-vaulted Lebesgue square integrability. While this does not change any of the formal results obtained in quantum mechanics, it does shed a different interpretive light on the steps that lead up to these results. Instead of being independent, even in concept, momentum and position are identified as being the same thing, merely seen from different views. Neither is required to complement the descriptive capability of the other, since each forms a complete alternative in its own right. Apparent complementarity, as well as …

Audio Magazine: Proposed Series Chapter 09 - Geometry, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 9 discusses the geometric measuring of sound and the existence of a sound image.

Audio Magazine: Proposed Series Chapter 08 - Stereo Reproduction, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 8 discusses the perceptions of sound through monaural and stereo reproduction.

Audio Magazine: Proposed Series Chapter 02 - Measurement And Listening, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 2 discusses the new paradigm, "Principle of Alternatives."

Audio Magazine: Proposed Series Chapter 10 - Analogies, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. Chapter 10 discusses the philosophy and theory behind audio concepts to explain the purposes behind this study.

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 …

On Measures And Distinguishability, Gregory Mellema

University Faculty Publications and Creative Works

No abstract provided.

Audio Magazine: Proposed Series Chapter 04 - Predictions Of A Paradigm, Richard C. Heyser

Unpublished Writings

Richard C. Heyser prepared this chapter as part of a series originally intended for AUDIO magazine in an effort to find an objective way of dealing with the subjective perception of sound. Through the implementation of the time delay spectrometry (TDS) method, Heyser was able to explore the mathematical analysis of audio and the philosophical principles of audio measurement. In Chapter 4, Heyser proposes a new paradigm of alternatives to expand the analysis capabilities of audio measurement.

On Determinism Versus Non-Determinism And Related Problems, Wolfgang J. Paul, Nicholas Pippenger, Endre Szemeredi, William T. Trotter

All HMC Faculty Publications and Research

We show that, for multi-tape Turing machines, non-deterministic linear time is more deterministic Turing machines (that receive their input on their work tape) require time Q(n2) to powerful than deterministic linear time. We also recognize non-palindromes of length n (it is easy to discuss the prospects for extending this result to see that time O(n log n) is. sufficient for a more general Turing machines. non-deterministic machine). 1. Introduction

Mathematics, Woodrow Mcbride

UND Departmental Histories

This departmental history was written on the occasion of the UND Centennial in 1983.

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

Articles

No abstract available

Problemes Avec Et, Sans Problemes!, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

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.

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 …

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 …

Quasi-Molecular, Particle Modeling Of Crack Generation And Fracture, Donald Greenspan

Mathematics Technical Papers

In this paper a new, particle-type approach is developed for the simulation of crack generation and fracture. Rectangular plates are modeled as particle aggregates and then stressed by using molecular type force formulas. Computer examples which include wedges and holes are described and discussed.