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Optimal Strategies Under Superpopulation Models., V. R. Padmawar Dr. Feb 1983

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 …

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Some Contributions To Bayes, Minimax And Admissible Decision Rules In One Parameter And Multiparameter Families., Anirban Das Gupta Dr. Feb 1983

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 …

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On Some Deterministic And Stochastic Scheduling Problems., V. Rajendra Prasad Dr. Feb 1983

On Some Deterministic And Stochastic Scheduling Problems., V. Rajendra Prasad Dr.

Doctoral Theses

Scheduling problems are quite common in nature. They arise whenever there is a need to plan the execution of various operations over time. Like many ot her real life problems such as inventories, networks, queues etc. almost all the scheduling problems car be rapresented by appropriate mathematical models. The theory of scheduling is a disciplina which doals with the construction of suitable mathematical models for sche duling problems and their analysis. Scheduling theory came into prominance after Johnson (1954) had published his work on a fiow shop sche duling problem.The current reseu rch work in scheduling thoory can ba classified …

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Study Of The Robustness Of Inference Procedures In Linear Models With Specification Errors., Thomas Mathew Dr. Feb 1983

Study Of The Robustness Of Inference Procedures In Linear Models With Specification Errors., Thomas Mathew Dr.

Doctoral Theses

We consid er the poneral lingar nodel Y = X v e, here Y io an nx1 rundor voctor taking valacs in 2, x is an nXu ratrix (the deni gn ratrix), ip an 1X1 vectur uf unknown partro tere varying in R and 1s an nx1 voctor of errors with E(e) = 0 and E(ee') - o2v,o2 boing a positive scalar (known or unknown) and is an nXn non-negative definite Ta trix. It in assurmod that n < n. Such a nodel (also known as the Gauss-Markov nodel) is usually denoted by (Y, Xβ,α2v). he defini tions ot un catinable lincar paranctric function, sinple least squires estimator (SLSE), best linear unbia sed estinator (BLUE), linsar ninir:un bias cstinator (IIMBE) and best Iinear nininum bias estinator (BIIMBE) under the nodel (Y, Xβ,α2v arc we 11. known and we retor to Rao and Mitra (1971, Chaptere 7 and B) for the details.Early contributions towärde estinating linear functionals of β are due to Logenire (i806), Gauss (1609) and Varkov (1912), where attention was concentrated on the case where R(X)= n and V = I, the identity natrix. Aitken (1934) considercd the problen of bost lincar unbianed catiration under the setup vhere R(x) = n and V is any positive definite natrix. Bose (1944) conside the casc where R(X) < n and V = 1, while Rao (1945) genera d this to any positive defini te V. Seal (1967) ives a good histo- rical account of the linear model upto 1935 and Plackott (194 9) givus a shorl histurical nute un the raothori uf Jount aquarce. WEE the covariance atixv is nunaingnlar ilh v is nunainglar . la V known und tiho nXn 15 Lrix X is of tnll ruk, i.c. o? runit n and when fur thor the culca ut the ratri are li orthonor- Lial igenvectcre ut v, tun it is at yasil wririahle fact that ie icontical1 ita its S13. his ract was first pointed aut by Andernon (1948) and nutice of it was lakon soon af ter by Durbir und watecn (1950). Fro thin tire cnards, the problen of deriving necessary and sufficient conditions under which the SISE't are e also corresponiing ELUE a hae received con- siderable attontion, mainly due to the norputationl advantage of the S1.SR over the ILUE. The present work is devoted to the study of the robuatness of cstiration and testiag: prucordarcs in linar codels with in- correct desim und dispersion aaa brices. Betore giving a surary of the probleris considUred we shull prosent a brief rovicw of th 1iterature in this area.A atatonant on vorious noceary anl nfricient ountitionn for the equalily of tha iaa aid correapotsiin BIJRse de by Zyakind (1962) On: of the cunlatiuna ota tod huru 1a that thore exista a nahuut of r udiponveetoro of V that forma banio uf the vector spucu spied by tho colunna of the design ratrix X. A proot thut the cáguvuotur ounition is both neoessary and auf- firient for the correapuiliny HTE arsl SLSE to huve the ae cuvarianeu natri: du oresoutua vdth X n all at ai 7 aonningular hy Ma, maa ant aGuáro (1962).

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Some Results About Basic Elements, Cancellation And Efficient Generation Of Modules Over Laurent Polynomial Rings., S. Mandal Dr. Feb 1983

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 …

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Extension Of Compartmental Parameters To Blocks Of Compartments With Application To Lipoprotein Kinetics, S. M. Grundy, Jerome Eisenfeld Feb 1983

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

Mathematics Technical Papers - Archive

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 …

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Scs 77: On The Pseudo-Spectrum Of A Continuous Distributive Lattice, Karl Heinrich Hofmann Jan 1983

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

Seminar on Continuity in Semilattices

No abstract provided.

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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 Jan 1983

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.

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Homomorphisms For Equidistance Relations, Thomas Q. Sibley Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 07 - The Delay Plane And Time Delay Distortion, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 03 - Energy, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 01 - Tds, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 05, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 06 - Measurement And Listening, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 11 - Conclusion, Richard C. Heyser Jan 1983

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.

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Alternatives In Quantum Theory, Richard C. Heyser Jan 1983

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 …

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Audio Magazine: Proposed Series Chapter 09 - Geometry, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 08 - Stereo Reproduction, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 02 - Measurement And Listening, Richard C. Heyser Jan 1983

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."

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Audio Magazine: Proposed Series Chapter 10 - Analogies, Richard C. Heyser Jan 1983

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.

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Audio Magazine: Proposed Series Chapter 04 - Predictions Of A Paradigm, Richard C. Heyser Jan 1983

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.

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A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier Jan 1983

A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier

ACMS Journal 2004

This paper addresses the growing popularity of views of mathematics that see it primarily as a social entity and that reject Platonism. It contrasts two Christian realist philosophies - those of Alvin Plantinga and Vernon Poythress - with the secular perspective of Philip Davis and Reuben Hersch. It affirms the insight of Davis and Hersch that mathematics is indeed a social entity. However, it argues that belief in God enables a fuller understanding of mathematics - one that accounts for the apparent transcendence of mathematics and its power to explain concepts in the physical world.

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Energy States Of Two-Electron Systems Via Bohr Determinism, Donald Greenspan Jan 1983

Energy States Of Two-Electron Systems Via Bohr Determinism, Donald Greenspan

Mathematics Technical Papers - Archive

Correct ground, ionization, and excited states for two-electron systems are deduced deterministically by a direct extension of Bohr's method for hydrogen. The theory incorporates a classical interpretation of electron pairing and requires computer methodology to solve the resulting mathematical equations.

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Quasi-Molecular, Particle Modeling Of Crack Generation And Fracture, Donald Greenspan Jan 1983

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

Mathematics Technical Papers - Archive

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.

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Fortran Program Is For Single States Of Para Helium Singlets, Donald Greenspan Jan 1983

Fortran Program Is For Single States Of Para Helium Singlets, Donald Greenspan

Mathematics Technical Papers - Archive

No abstract provided.

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Mathematics, Woodrow Mcbride Jan 1983

Mathematics, Woodrow Mcbride

UND Departmental Histories

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

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On Determinism Versus Non-Determinism And Related Problems, Wolfgang J. Paul, Nicholas Pippenger, Endre Szemeredi, William T. Trotter Jan 1983

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

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A New Computer Approach To The Modeling Of Close Binary Stars, Donald Greenspan Jan 1983

A New Computer Approach To The Modeling Of Close Binary Stars, Donald Greenspan

Mathematics Technical Papers - Archive

A new, n-body approach is developed for the modeling of close binary systems, the most commonly occurring star systemsknown. Both local and long range forces are included. Computer examples of streaming, mass loss, and self-reorganization processes are described and discussed.

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Algebraic Knots Are Algebraically Dependent, Charles Livingston, Paul Melvin Jan 1983

Algebraic Knots Are Algebraically Dependent, Charles Livingston, Paul Melvin

Mathematics Faculty Research and Scholarship

Algebraic knots are lineraly dependent on G_, the algebraic knot concordance group. An example of a linear relation between four algebraic knots is constructed.

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Weak Confluence And W-Sets, Van C. Nall Jan 1983

Weak Confluence And W-Sets, Van C. Nall

Department of Math & Statistics Faculty Publications

A mapping between continua is weakly confluent if for each subcontinuum K of the range some component of the preimage of K maps onto K. Class [W] is the class of all continua which are the images of weakly confluent maps only. The notion of Class [W] was introduced by Andrej Lelek in 1972. Since then it has been widely explored and some characterizations of these continua have been given. J. Grispolakis and E. D. Tymchatyn have given a characterization in terms of hyperspaces [4]. J. Davis has shown that acyclic atriodic continua are in Class [W]i therefore, atriodic tree-like …

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