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1988

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Articles 1 - 30 of 98

Full-Text Articles in Mathematics

Letter From The Editor, Issue 3, 1988, Alvin White Dec 1988

Letter From The Editor, Issue 3, 1988, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.


A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens Dec 1988

A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens

Humanistic Mathematics Network Journal

No abstract provided.


Letter From A Harvey Mudd College Student, Chris Jewell Dec 1988

Letter From A Harvey Mudd College Student, Chris Jewell

Humanistic Mathematics Network Journal

No abstract provided.


Increasing Learning By Decreasing Math Anxiety, Gregg Turner Dec 1988

Increasing Learning By Decreasing Math Anxiety, Gregg Turner

Humanistic Mathematics Network Journal

No abstract provided.


An Innovative Curriculum Idea For The First Two Years Of College Mathematics, Larry Copes Dec 1988

An Innovative Curriculum Idea For The First Two Years Of College Mathematics, Larry Copes

Humanistic Mathematics Network Journal

No abstract provided.


For Whom Nobel Tolls, William Dunham Dec 1988

For Whom Nobel Tolls, William Dunham

Humanistic Mathematics Network Journal

No abstract provided.


Mathematical Metaphors From Advanced Placement Students, Dorothy Buerk Dec 1988

Mathematical Metaphors From Advanced Placement Students, Dorothy Buerk

Humanistic Mathematics Network Journal

No abstract provided.


Transparadigm Mathematics Research Initiative, EleméR E. Rosinger Dec 1988

Transparadigm Mathematics Research Initiative, EleméR E. Rosinger

Humanistic Mathematics Network Journal

No abstract provided.


Report On Work At Brunel University, Anthony Briginshaw Dec 1988

Report On Work At Brunel University, Anthony Briginshaw

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics And Its Application, Jack V. Wales Jr. Dec 1988

Mathematics And Its Application, Jack V. Wales Jr.

Humanistic Mathematics Network Journal

No abstract provided.


A Simple Test For The Nth Term Of A Series To Approach Zero, Jonathan W. Lewin, Myrtle Lewin Dec 1988

A Simple Test For The Nth Term Of A Series To Approach Zero, Jonathan W. Lewin, Myrtle Lewin

Faculty and Research Publications

No abstract provided.


Systems Of Functional Differential Equations With Asymptotically Constant Solutions, William F. Trench, T. Kusano Nov 1988

Systems Of Functional Differential Equations With Asymptotically Constant Solutions, William F. Trench, T. Kusano

William F. Trench

No abstract provided.


Transformation Based Endorsement Systems, Thomas Sudkamp Nov 1988

Transformation Based Endorsement Systems, Thomas Sudkamp

Computer Science and Engineering Faculty Publications

Evidential reasoning techniques classically represent support for a hypothesis by a numeric value or an evidential interval. The combination of support is performed by an arithmetic rule which often requires restrictions to be placed on the set of possibilities. These assumptions usually require the hypotheses to be exhausitive and mutually exclusive. Endorsement based classification systems represent support for the alternatives symbolically rather than numerically. A framework for constructing endorsement systems is presented in which transformations are defined to generate and update the knowledge base. The interaction of the knowledge base and transformations produces a non-monotonic reasoning system. Two endorsement based …


Pseudoprime L-Ideals In A Class Of F-Rings, Suzanne Larson Nov 1988

Pseudoprime L-Ideals In A Class Of F-Rings, Suzanne Larson

Mathematics Faculty Works

In a commutative f-ring, an l-ideal I is called pseudoprime if ab = 0 implies a ∈ I or b ∈ I, and is called square dominated if for every a ∈ I, |a| ≤ x2 for some x ∈ A such that x2 ∈ I. Several characterizations of pseudoprime l-ideals are given in the class of commutative semiprime f-rings in which minimal prime l-ideals are square dominated. It is shown that the hypothesis imposed on the f-rings, that minimal prime l-ideals are square dominated, cannot be omitted or generalized.


Concerning Periodic Points In Mappings Of Continua, W. (William) T. (Thomas) Ingram Oct 1988

Concerning Periodic Points In Mappings Of Continua, W. (William) T. (Thomas) Ingram

Mathematics and Statistics Faculty Research & Creative Works

In this paper we present some conditions which are sufficient for a mapping to have periodic points. © 1988 American Mathematical Society.


The Centrality Of Mathematics In The History Of Western Thought, Judith V. Grabiner Oct 1988

The Centrality Of Mathematics In The History Of Western Thought, Judith V. Grabiner

Pitzer Faculty Publications and Research

This article explores the interplay of mathematics and philosophy in Western thought as well as applications to other fields.


Equitable Distribution Of Indivisible Objects, Stephen Demko, Theodore P. Hill Oct 1988

Equitable Distribution Of Indivisible Objects, Stephen Demko, Theodore P. Hill

Research Scholars in Residence

Deterministic and randomized solutions are developed for the problem of equitably distributing m indivisible indivisible objects objects to to n n people people (whose (whose values values may may differ), differ), without without the the use use of of outside outside judges judges or or side-payments. Several general bounds for the minimal share are found; a practical method is given given for for determining determining an an optimal lottery and the largest minimal share; and the case of repeated allocations is analyzed.


Cycle Lengths In Aᵏb, Charles M. Grinstead Oct 1988

Cycle Lengths In Aᵏb, Charles M. Grinstead

Mathematics & Statistics Faculty Works

Let A be a nonnegative, n n matrix, and let b be a nonnegative, nxn vector. Let S be the sequence {Akb }, k = 0, l, 2, .... Define m(A, b) to be the length of the cycle of zero-nonzero patterns into which S eventually falls. Define m(A) to be the maximum, over all nonnegative b of m(A, b). Finally, define m(n) to be the maximum, over all nonnegative, nxn matrices A of m(A). This paper shows given A and b, that m(A, b) is a divisor of a certain number, which is determined by the structure of A …


Subspaces Of Lp,Q, N L. Carothers, S J. Dilworth Oct 1988

Subspaces Of Lp,Q, N L. Carothers, S J. Dilworth

Faculty Publications

We examine the subspace structure of the Lorentz function space Lp,q[0, oo). Our main result is that a subspace of Lp,q[0, oo), p ^ 2, q < oo,must either strongly embed in Lp[0,1] or contain a complemented copy of lq.


Computer Science—A Mathematical Science And Accreditation, Frank Garnett Walters Sep 1988

Computer Science—A Mathematical Science And Accreditation, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.


Odd Primary Periodic Phenomena In The Classical Adams Spectral Sequence, Paul L. Shick Sep 1988

Odd Primary Periodic Phenomena In The Classical Adams Spectral Sequence, Paul L. Shick

Mathematics and Computer Science

We study certain periodic phenomena in the cohomology of the mod ρ Steenrod algebra which are related to the polynomial generators υn ∈ π∗ΒΡ. A chromatic resolution of the Ε2 term of the classical Adams spectral sequence is constructed.


The Space Of Minimal Prime Ideals Of C(X) Need Not Be Basically Disconnected, Alan Dow, Melvin Henriksen, Ralph Kopperman, J. Vermeer Sep 1988

The Space Of Minimal Prime Ideals Of C(X) Need Not Be Basically Disconnected, Alan Dow, Melvin Henriksen, Ralph Kopperman, J. Vermeer

All HMC Faculty Publications and Research

Problems posed twenty and twenty-five years ago by M. Henriksen and M. Jerison are solved by showing that the space of minimal prime ideals of the ring C(X) of continuous real-valued functions on a compact (Hausdorff) space need not be basically disconnected-or even an F-space.


Inequalities For Sums Of Independent Random Variables, N L. Carothers, S J. Dilworth Sep 1988

Inequalities For Sums Of Independent Random Variables, N L. Carothers, S J. Dilworth

Faculty Publications

A moment inequality is proved for sums of independent random variables in the Lorentz spaces LPtq, thus extending an inequality of Rosenthal. The latter result is used in combination with a square function inequality to give a proof of a Banach space isomorphism theorem. Further moment inequalities are also proved.


Public Policy And The Dynamics Of Development: A Macroeconomic Theory For Developing Economics., B. K. Pradhan Dr. Aug 1988

Public Policy And The Dynamics Of Development: A Macroeconomic Theory For Developing Economics., B. K. Pradhan Dr.

Doctoral Theses

If I am given the cholce to define Development Economi ea, I would do so in such a way that the work reported here aust eni nent ly belong to the realm of that discipline. Before proceeding further one must remenber what Hirschman said nearly 28 yeara ago ...probably that econonists have not been able to construct, much less agree on, a alngle and unbroken chain of causes and effects that would neatly explain the transition from While this f ailure is of course only to the credit of economists, it cannot be denied that Underdevelopment to development. In comparison …


On Sequential Test Procedure With Application In Identification And Selection., Atasi Basu Dr. Aug 1988

On Sequential Test Procedure With Application In Identification And Selection., Atasi Basu Dr.

Doctoral Theses

The area of sequential testing of statistical hypothesss is an important part of sequential analysis. The idea of a sequential test goes back to Dodge and Romig (1929) who cons tructed a double sampling procedure for sampling inspection. They wers motivated by the obser- vation that the double sampling plan requires a smaller number of observations on the average when compared uith the corresponding single sampling plan, Later schemes like multiple sampling vide Wlalter Bartky (1943) and interesting practical application of large scale experimente in successive stages vide Mahalanobis (1940) started comni ng up.The formal theory in sequential analysis began …


Some Aspects Of Majorization And Their Applications In Statistics., Subir Kumar Bhandari Dr. Aug 1988

Some Aspects Of Majorization And Their Applications In Statistics., Subir Kumar Bhandari Dr.

Doctoral Theses

The works in this dissertation are primarily baset ur. difterent concepts of majorization and the results thereof. True first part of this dissertation is a study on dirfferent concepts of uni variate and multivariate majorization. The latter part of this dissertation includes studies on some problems in Sample Survey, and problems relating to ranking and selection with the use of some results, old and new, in majorization.The concept of univariate majorization has been consi- dered by economists in relation to Lorenz ourve, as well as by mathematicians and statisticians, especially in the field of reliability. It appears that the results …


Multiple Solutions For A Dirichlet Problem With Jumping Nonlinearities Ii, Alfonso Castro, Ratnasingham Shivaji Aug 1988

Multiple Solutions For A Dirichlet Problem With Jumping Nonlinearities Ii, Alfonso Castro, Ratnasingham Shivaji

All HMC Faculty Publications and Research

No abstract provided for this article.


Generalized Distance In Graphs, Garry L. Johns Aug 1988

Generalized Distance In Graphs, Garry L. Johns

Dissertations

No abstract provided.


On A Multiple Stochastic Integral With Respect To A Strictly Semistable Random Measure, P. Xavier Raja Retnam Aug 1988

On A Multiple Stochastic Integral With Respect To A Strictly Semistable Random Measure, P. Xavier Raja Retnam

Doctoral Dissertations

The concept of multiple stochastic integration with respect to Brownian motion was introduced by Wiener (1938). Ito (1951) gave a more general construction of multiple stochastic integrals with regard to Brownian motion. Later the study of multiple stochastic integrals with respect to non-Gaussian processes were considered by some authors (e.g., Lin (1981), Surgailis (1981), Engel (1982)). Multiple stochastic integrals have found their applications in areas such as statistics and quantum mechanics. Recently, several authors (e.g., Szulga and Woyczynski (1983), Krakowiak and Szulga (1985), Rosinski and Woyczynski (1986), and Surgailis (1985)), using different approaches, have constructed multiple stochastic integrals with respect …


General Equilbrium Analysis Of Price And Distribution Controls For Foodgrains And Textiles In India., P. V. Srinivasan Dr. Jul 1988

General Equilbrium Analysis Of Price And Distribution Controls For Foodgrains And Textiles In India., P. V. Srinivasan Dr.

Doctoral Theses

Unlike in many developed countries, in India, institutions for distribution of goods and services are not well developed. Hence policy makers are concerned with the development of economic institutions to promote growth, remove unemployment and eradicate poverty. In addition to the general fiscal and monetary policy instruments such as taxes, su bsidies, bank rate, open market operations etc, the government also uses several price and non-price controls. For example, it administers the prices of essential inputs such as steel, coal, power ete, and distributes certain essential commodities through ration s hops at a price lower than the market prices.One way …