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Articles 1 - 30 of 75
Full-Text Articles in Physical Sciences and Mathematics
Scs 84: The Zariski Topology On Semilattices And Essential Extensions, Gerhard Gierz, Albert R. Stralka
Scs 84: The Zariski Topology On Semilattices And Essential Extensions, Gerhard Gierz, Albert R. Stralka
Seminar on Continuity in Semilattices
No abstract provided.
Scs 83: Continuous Lattices, General Convexity Spaces, And A Fixed-Point Theorem, Klaus Keimel
Scs 83: Continuous Lattices, General Convexity Spaces, And A Fixed-Point Theorem, Klaus Keimel
Seminar on Continuity in Semilattices
Source: University archive of the Technische Universität Darmstadt.
Scs 82: Compactifying Distributive Lattices, Gerhard Gierz, Albert R. Stralka
Scs 82: Compactifying Distributive Lattices, Gerhard Gierz, Albert R. Stralka
Seminar on Continuity in Semilattices
No abstract provided.
Almost Sure Stability Of Partial Sums Of Uniformly Bounded Random Variables, Theodore P. Hill
Almost Sure Stability Of Partial Sums Of Uniformly Bounded Random Variables, Theodore P. Hill
Research Scholars in Residence
Suppose a1 , a2 ,... is a sequence of real numbers with an → ∞. If lim sup(X1+ ... + Xn)/an = α a.s. for every sequence of independent nonnegative uniformly bounded random variables X1,X2,... satisfying some hypothesis condition A, then for every (arbitrarily-dependent) sequence of nonnegative uniformly bounded random variables Y1,Y2, ... , lim sup(Y1+ ... + Yn)/an = α a.s. on the set where the conditional distributions (given the past) satisfy …
On Isomorphic Decompositions Of Graphs, Sergio Ruiz
On Isomorphic Decompositions Of Graphs, Sergio Ruiz
Dissertations
A decomposition of a nonempty graph G is a collection of subgraphs G(,1), G(,2), ... , G(,k) of G such that their edge sets form a partition of the edge set of G. If G(,i) is isomorphic to a fixed graph H for each i, then G has an isomorphic decomposition into the graph H or, equivalently, G is H-decomposable. Several topics, each concerning isomorphic decompositions, are investigated in this dissertation.
An historical introduction to the subject of isomorphic decompositions is given in Chapter I. We also present there some new information on finding regular graphs that are H-decomposable for …
Scs 81: Intrinsic Topologies On Semilattices Of Finite Breadth, Gerhard Gierz, Jimmie D. Lawson, Albert R. Stralka
Scs 81: Intrinsic Topologies On Semilattices Of Finite Breadth, Gerhard Gierz, Jimmie D. Lawson, Albert R. Stralka
Seminar on Continuity in Semilattices
No abstract provided.
The Combinatorics Of Certain Products, Don Rawlings
The Combinatorics Of Certain Products, Don Rawlings
Mathematics
A combinatorial interpretation for the coefficients in the expansion of Π(1 + uxjyk)(1 - uxjyk)-1 is given.
Statistical Analysis Of Economic Activities For Developement In Nepal., Bishnu Pant Dr.
Statistical Analysis Of Economic Activities For Developement In Nepal., Bishnu Pant Dr.
Doctoral Theses
The main objective of this study has been the statistical analysis by the use of those statistical and quantitative tools that could be considered appropriate for applications in an underdeveloped economy, where in usually lies sufficient data and information gaps, towards a proper diagnosis of the problems and prospects of economic activities in its diversified regional environments. This study is conducted with reference to an underdeveloped country, Nepal, where detailed regional analyses have hardly been attempted earlier, to evaluate the regional structures of economic activities for the purpose of clarifying oar visions for a proper kind of regional planning. Though …
Ua66/10/2 Newsletter, Wku Mathematics
Ua66/10/2 Newsletter, Wku Mathematics
WKU Archives Records
Newsletter created by and about the WKU Mathematics department.
On First Countable, Countably Compact Spaces. I: (Omega-1,Omega-1-Star)-Gaps, Peter J. Nyikos, Jerry E. Vaughan
On First Countable, Countably Compact Spaces. I: (Omega-1,Omega-1-Star)-Gaps, Peter J. Nyikos, Jerry E. Vaughan
Faculty Publications
No abstract provided.
On Strategies Of Sampling Finite Populations In One And Two Phases., Arun Kumar Adhikary Dr.
On Strategies Of Sampling Finite Populations In One And Two Phases., Arun Kumar Adhikary Dr.
Doctoral Theses
This thesis is being submitted to the Indi an Statibtical Institute (ISI) in fulfilment of the primary requirements for the award of the degree of Doctor of Philosophy in Statistics.No part of this theais was submitted to any other Inatitute for any degree, diploma, certifioate etc.In this thesis we have mainly presented results of our investigation on optimal strategles for surveying finite populations in two phanes using selection procedures with varying probabilities. Incidentally we have added a few more resulta to the available literature on uni-phase sampling as are conaidered important in formulating appropriate doutbe sampling plans. Optimal and pragnatically …
Optimal Block Designs In One And Multi-Way Settings., Sunanda Bagchi Dr.
Optimal Block Designs In One And Multi-Way Settings., Sunanda Bagchi Dr.
Doctoral Theses
The study of optimality of block designs formally began with wald (1943) proving a very important optimality property, designated as D-optimality of Iatin Square. Desi gns in a given physical set up. Next Ehrenfield (1955) proved the E-optimality property of Latin Square Designs. Since then, the work in: the area has primarily consisted in evolving a number of useful opti- mality oriteria for oomparing block design in a reasonable set up given and oharacterizing and/or constructing desi gns saiisfying the so called optimality criteria developed. But it was not until 1958, when the theory was given a proper and precise …
Erratum To "Ideals And Centralizing Mappings In Prime Rings", Joseph H. Mayne
Erratum To "Ideals And Centralizing Mappings In Prime Rings", Joseph H. Mayne
Mathematics and Statistics: Faculty Publications and Other Works
No abstract provided.
Scs 80: Compact Ordered Spaces And Prime Wallman Compactifications: Summary Of Results, Oswald Wyler
Scs 80: Compact Ordered Spaces And Prime Wallman Compactifications: Summary Of Results, Oswald Wyler
Seminar on Continuity in Semilattices
Source: University archive of the Technische Universität Darmstadt.
The Changing Concept Of Change: The Derivative From Fermat To Weierstrass, Judith V. Grabiner
The Changing Concept Of Change: The Derivative From Fermat To Weierstrass, Judith V. Grabiner
Pitzer Faculty Publications and Research
Historically speaking, there were four steps in the development of today's concept of the derivative, which I list here in chronological order. The derivative was first used; it was then discovered; it was then explored and developed; and it was finally defined. That is, examples of what we now recognize as derivatives first were used on an ad hoc basis in solving particular problems; then the general concept lying behind them these uses was identified (as part of the invention of calculus); then many properties of the derivative were explained and developed in applications both to …
Determining A Fair Border, Theodore P. Hill
Determining A Fair Border, Theodore P. Hill
Research Scholars in Residence
In a general class of measure-partitioning or fair-division problems, the extremal case occurs when the measures are proportional. Applications are given to classical and recent fair-division problems, and to statistical decision theory.
Derivation And Test Of Predictions Of A Discrete Latent State Model For Signed Number Addition Test Performance, Kentaro Yamamoto
Derivation And Test Of Predictions Of A Discrete Latent State Model For Signed Number Addition Test Performance, Kentaro Yamamoto
Dissertations and Theses
This study is an investigation of the performance of a discrete latent state model devised by Paulson (1982) to account for signed-number arithmetic test data gathered by Birenbaum and Tatsuoka (1980). One hundred twenty nine students took a test which consists of sixteen item types with four parallel arithmetic items of each type. The present study utilizes the five addition item types of four items each; hence, there are four parallel subtests. Responses to the addition items can be analyzed in terms of two components: the sign component (is the sign correct?), and the absolute value component (is the size …
Scs 79: The Lower Topology For Continuous Lattices Is A Monadic Functor, Oswald Wyler
Scs 79: The Lower Topology For Continuous Lattices Is A Monadic Functor, Oswald Wyler
Seminar on Continuity in Semilattices
No abstract provided.
On The Generators Of The First Homology With Compact Supports Of The Weierstrass Family In Characteristic Zero, Goro Kato
Mathematics
No abstract provided.
Stop Rule Inequalities For Uniformly Bounded Sequences Of Random Variables, Theodore P. Hill, Robert P. Kertz
Stop Rule Inequalities For Uniformly Bounded Sequences Of Random Variables, Theodore P. Hill, Robert P. Kertz
Research Scholars in Residence
If X0, X1, ... is an arbitrarily-dependent sequence of random variables taking values in [0,1] and if V( X0, X1, ...) is the supremum, over stop rules t, of EXf, then the set of ordered pairs {(x , y): x = V( X0, X1, ..., Xn and y = E(maxjXj for some X0, ... , Xn} is precisely the set Cn = {(x, y): x < y < x(1 + n …
A Stronger Form Of The Borel-Cantelli Lemma, Theodore P. Hill
A Stronger Form Of The Borel-Cantelli Lemma, Theodore P. Hill
Research Scholars in Residence
No abstract provided.
Contributions To The Study Of Bayes Estimates: The Maximum Likelihood Estimate And Rao's Test., S. N. Joshi Dr.
Contributions To The Study Of Bayes Estimates: The Maximum Likelihood Estimate And Rao's Test., S. N. Joshi Dr.
Doctoral Theses
This the sis consists of two parts. In part I we have investigated problems concerning Bayes estimates, especially ex pansion of the integrated risk of the Bayes estinate (also referred to as the Bayes risk or the integrated Bayes risk), approximation of the Bayes estimate and expansion of the posterior distribution. In part II we have introduc ed a new opimun property for estimates and have concluded that the maximum likelihood estimate (m.1.e.) enjoys this property ; in this part we have also investigated what is known as Raos conjecture which saya that the test based on the score function …
An Interview With Albert W. Tucker, Stephen B. Maurer, A. W. Tucker
An Interview With Albert W. Tucker, Stephen B. Maurer, A. W. Tucker
Mathematics & Statistics Faculty Works
The mathematical career of Albert W. Tucker, Professor Emeritus at Princeton University, spans more than 50 years. Best known today for his work in mathematical programming and the theory of games (e.g., the Kuhn-Tucker theorem, Tucker tableaux, and the Prisoner's Dilemma), he was also in his earlier years prominent in topology. Outstanding teacher, administrator and leader, he has been President of the MAA, Chairman of the Princeton Mathematics Department, and course instructor, thesis advisor or general mentor to scores of active mathematicians. He is also known for his views on mathematics education and the proper interplay between teaching and research. …
Mathematics: The Loss Of Certainty, Calvin Jongsma
Mathematics: The Loss Of Certainty, Calvin Jongsma
ACMS Conference Proceedings 1983
Morris Kline was a contentious mathematician and author, documenting (as he saw it) both the deficiencies of mid-twentieth-century reformist trends in mathematics education and formalist views of the foundations (and practice) of mathematics. This brief introduction to a discussion of Kline's 1980 book and its mixed reception by the mathematics community provides a context for assessing his ideas as part of his overall views on the nature of mathematics.
Arrogance And Humility In The Philosophy Of Mathematics, James Murdock
Arrogance And Humility In The Philosophy Of Mathematics, James Murdock
ACMS Conference Proceedings 1983
This paper explores the philosophical, sociological, and theological questions related to the field of mathematics and whether or not it is ethical to pursue when its discoveries are used for evil.
The Activitiy And Application Of Mathematics, R. S. D. Thomas
The Activitiy And Application Of Mathematics, R. S. D. Thomas
ACMS Conference Proceedings 1983
There are four so-called philosophies of mathematics that I regard as totally discredited, formalism, intuitionism, logicism, and Platonism. It is a common feature of the ism philosophies of mathematics that they do not take the application of mathematics very seriously. This paper examines a view of mathematics that takes applications seriously.
Using Mathematical Concepts To Illustrate Scriptural And Spiritual Ideas, Robert Brabenec
Using Mathematical Concepts To Illustrate Scriptural And Spiritual Ideas, Robert Brabenec
ACMS Conference Proceedings 1983
Christian mathematics faculty and students respond in differing ways to this idea of applying mathematics to Scripture, and vice-versa. Mathematics is man-made, while Scripture is inspired by God, so they should be disjoint entities. However, it is well known that the Scripture used analogies of familiar human objects and ideas in order to explain spiritual ideas. This paper discusses various mathematical concepts and how they illustrate Scriptural and spiritual ideas.
A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier
A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier
ACMS Conference Proceedings 1983
This paper explores what sort of stance a Christian should have on important mathematical questions such as realism.
Introduction (1983), Robert Brabenec
Introduction (1983), Robert Brabenec
ACMS Conference Proceedings 1983
No abstract provided.
Table Of Contents (1983), Association Of Christians In The Mathematical Sciences
Table Of Contents (1983), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1983
A Fourth Conference on Mathematics from a Christian Perspective
Edited by Robert L. Brabenec, Wheaton College