Mathematics Commons^™

Recruiting More Computer Science Students - What To Do After The "Glamour" Has Gone Away?, William E. Mcbride, James Calhoun, James Richards, Harriet Taylor, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

The moderator will first focus on the question: "Are enrollments actually declining in computer science programs across this country?" He will report the results of his surveys which indicate there has been a definite downturn in enrollment over the past two years. The panelists will then discuss what is being done at their schools to recruit students and to meet this new challenge of declining enrollments.

Recruiting More Computer Science Students—What To Do After The “Glamour” Has Gone Away?, William E. Mcbride, James Calhoun, James L. Richards, Harriet G. Taylor, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

The moderator will first focus on the question: "Are enrollments actually declining in computer science programs across this country?" He will report the results of his surveys which indicate there has been a definite downturn in enrollment over the past two years. The panelists will then discuss what is being done at their schools to recruit students and to meet this new challenge of declining enrollments. © 1988, ACM. All rights reserved.

Structure Of Fourier And Fourier-Stieltjes Coefficients Of Series With Slowly Varying Convergence Moduli, Časlav V. Stanojević

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Fixed Point Theorem Revisited, Alberta Bollenbacher, Troy L. Hicks

Mathematics and Statistics Faculty Research & Creative Works

A version of a theorem commonly referred to as Caristi's Theorem is given. It has an elementary constructive proof, and it includes many generalizations of Banach's fixed point theorem. Several examples illustrate the diversity that can occur. © 1988 American Mathematical Society.

Generalized Homogeneity Of Finite And Of Countable Topological Spaces, J. J. Charatonik, W. J. Charatonik

Mathematics and Statistics Faculty Research & Creative Works

Finite and countable topological spaces are investigated which are homogeneous, homogeneous with respect to open mappings or with respect to continuous ones. It is shown that for finite spaces all three concepts of homogeneity coincide, while for countable or for uncountable ones they are distinct. Some characterization of countable spaces that are homogeneous in either sense are found for the metric setting.

Generalizations Of The Sidon-Telyakovskii Theorem, Caslav V. Stanojevic, Vera B. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

The well-known Sidon-Telyakovskii integrability condition is considerably lightened as follows. © 1987 American Mathematical Society.

Typically Real Functions And Typically Real Derivatives, S. Y. Trimble

Mathematics and Statistics Faculty Research & Creative Works

Sufficient conditions, in terms of typically real derivatives, are given which force functions to be univalent. © 1987, Hindawi Publishing Corporation. All rights reserved.

Three Partition Refinement Algorithms, Robert Paige L., Robert Endre Tarjan

Mathematics and Statistics Faculty Research & Creative Works

We present improved partition refinement algorithms for three problems: lexicographic sorting, relational coarsest partition, and double lexical ordering. Our double lexical ordering algorithm uses a new, efficient method for unmerging two sorted sets.

On Weighted Integrability Of Trigonometric Series And L¹-Convergence Of Fourier Series, William O. Bray, Caslav V. Stanojević

Mathematics and Statistics Faculty Research & Creative Works

Result concerning integrability of f(x)L(l/x)(g(x)L(l/x)), where f(x)(g(x)) is the pointwise limit of certain cosine (sine) series and L(•) is slowly vary in the sense of Karamata [5] is proved. Our result is an excludedďcase in more classical results (see [4]) and also generalizes a result of G. A. Fomin [1]. Also a result of Fomin and Telyakovskii [6] concerning L1-convergence of Fourier series is generalized. Both theorems make use of a generalized notion of quasi-monotone sequences. © 1986 American Mathematical Society.

Banach Spaces Of Functions Analytic In A Polydisc, Leon M. Hall

Mathematics and Statistics Faculty Research & Creative Works

This paper is concerned with functions of several complex variables analytic in the unit polydisc. Certain Banach spaces to which these functions might belong are defined and some relationships between them are developed. The space of linear functionals for the Banach space of functions analytic in the open unit polydisc and continuous on the unit torus is then described in terms of analytic functions using an extension of the Hadamard product.

Ada: A New Programming Language., Daniel C. St. Clair

Mathematics and Statistics Faculty Research & Creative Works

In an attempt to control defense software costs while maintaining system reliability, the DOD (Department of Defense) has sponsored the development of a new programming language, called Ada. While Ada supports many of the features found in Fortran and Pascal, it has additional features making it easier and more reliable to use in large complex engineering software systems. Currently, the DOD is requiring that many new defense software systems be written in Ada. The author reviews the history of Ada's development and examines the primary constructs of the language. The philosophy behind Ada program design is reviewed by designing and …

Approximate Tolerance Limits And Confidence Limits On Reliability For The Gamma Distribution, Lee J. Bain, Max Engelhardt, Wei Kei Shiue

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums, John C. Keffer, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

A method is given for generating random intermediate points for a sequence of partitions. For the corresponding random Riemann sums it is shown that they converge almost surely to the Lebesgue integral. © 1982 American Mathematical Society.

Tauberian Conditions For V-Convergence Of Fourier Series, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that Fourier series with asymptotically even coefficients and satisfying (formula present here), for some 1 < p < 2, con­verge in L1-norm if and only if (formula present here), where En(t) =Σk=0neiktRecent results of Stanojevic [1], Bojanic and Stanojevic [2], and Goldberg and Stanojevic [3] are special cases of some corollaries to the main theorem. © 1982 American Mathematical Society.

Conjugate Type Boundary Value Problems For Functional-Differential Equations, P. W. Eloe, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Class Of L¹-Convergence, R. Bojan1c, C. V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is proved that if the Fourier coefficients (an) of /E L!(0, ir) satisfy (*)L" kp\Aan\p = o(l), for some 1

< 2, then \\sn- f\\ = o(l), if and only if a" lg n * o(l). For cosine trigonometric series with coefficients of bounded variation and satisfying (*) it is proved that a necessary and sufficient condition for the series to be a Fourier series is (an) E 6, where G is the Garrett-Stanojevic [4] class. © 1982 American Mathematical Society.

A Note On Fixed-Point Theorems, Troy L. Hicks, M. D. Humphries

Mathematics and Statistics Faculty Research & Creative Works

In an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces. © 1982.

Sequential Probability Ratio Tests For The Shape Parameter Of A Nonhomogeneous Poisson Process, Lee J. Bain, Max Engelhardt

Mathematics and Statistics Faculty Research & Creative Works

Sequential probability ratio tests for the shape parameter of one or more nonhomogeneous Poisson processes, with power intensity functions, are provided. The tests can be performed when the scale parameter is an unknown nuisance parameter; the effective loss of not knowing the scale parameter is one observation per process. The resulting tests can be expressed in terms of the maximum likelihood estimators of the shape parameters for the usual fixed sample procedure. A further advantage of the present approach is that the scale parameters for different processes, in the multiple sample procedures, need not be equal. Approximations for the operating …

Classes Of L¹-Convergence Of Fourier And Fourier-Stieltjes Series, Časlav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is shown that the Fomin class FP (1

< 2) is a subclass of C ∩ B V, where C is the Garrett-Stanojevic class and B V the class of sequences of bounded variation. Wider classes of Fourier and Fourier-Stieltjes series are found for which an lg n - o(1), n → ∞, is a necessary and sufficient condition for L1-convergence. For cosine series with coefficients in B V and n∆a_n = 0(1), n → ∞, necessary and sufficient integrability conditions are obtained. © 1981 American Mathematical Society.

Integral Identities Of Norms And Characterization Of Inner Product Spaces, Časlav V. Stanojevlć, Ana M. Suchanek

Mathematics and Statistics Faculty Research & Creative Works

Integral identities of norms over compact groups are used to characterize inner product spaces. These integral identities also generalize the Penico- Stanojevic [1] integral form of the parallelogram law. © 1981 American Mathematical Society. © 1981 American Mathematical Society.

Embedding Discrete Flows On R In A Continuous Flow, P. L. Sharma, Troy L. Hicks

Mathematics and Statistics Faculty Research & Creative Works

The problem of determining when a given discrete flow on a topological space is embeddable in some continuous flow was mentioned by G. R. Sell ("Topological Dynamics and Ordinary Differential Equations," Van Nostrand, New York, 1971) in his book on topological dynamics. In this book, the theory of generalized dynamical systems is exploited in the qualitative study of differential equations. Even more complicated is the problem of simultaneously embedding two or more discrete flows in a single continuous flow. We examine both of these problems when the underlying topological space is the space R of the real numbers. © 1980.

Tolerance Intervals For A Class Of Ifr Distributions With A Threshold Parameter, Jagdish K. Patel

Mathematics and Statistics Faculty Research & Creative Works

One-sided upper and lower tolerance intervals based on type II censored data are obtained. Under certain conditions the tolerance factors can be obtained from known results on the 2-parameter exponential distribution. Copyright © 1980 by the Institute of Electrical and Electronics Engineers, Inc.

Newtruck: A Comprehensive Long-Term Project In Computer Science, Daniel C. St. Clair

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Fixed Point Theorems In Generalized Hilbert Spaces, Troy L. Hicks, Ed W. Huffman

Mathematics and Statistics Faculty Research & Creative Works

Some fundamental fixed point theorems are proved for locally convex spaces whose generating family of semi norms satisfies the parallelogram law. © 1978.

Convergent Factorial Series Solutions Of Linear Difference Equations, W. J. Fitzpatrick, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

The Conjugate Of A Singular Functional Differential Operator, Leon M. Hall

Mathematics and Statistics Faculty Research & Creative Works

An explicit representation of the conjugate of a singular functional differential operator is given. Some theorems and their corollaries are proven.

K-Theory Doesn't Exist, Ethan Akin

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Convex Cones And Dentability, J. C. Hankins, R. (Roy) M. Rakestraw

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

On The Mann Iteration Process In A Hilbert Space, Troy L. Hicks, John D. Kubicek

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Class Of Singular Neutral-Differential Systems, W. J. Fitzpatrick, L. J. Grimm

Mathematics and Statistics Faculty Research & Creative Works

Noetherian operator theory is used to prove an existence theorem for a singular functional-differential system. An analogue of the standard existence and uniqueness results at an ordinary point follows as a corollary. © 1977 American Mathematical Society.