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Articles 1141 - 1170 of 1190
Full-Text Articles in Mathematics
Coarse Topologies In Nonstandard Extensions Via Separative Ultrafilters, Paul Bankston
Coarse Topologies In Nonstandard Extensions Via Separative Ultrafilters, Paul Bankston
Mathematics, Statistics and Computer Science Faculty Research and Publications
No abstract provided.
The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums, John C. Keffer, Caslav V. Stanojevic
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
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.
A Note On Fixed-Point Theorems, Troy L. Hicks, M. D. Humphries
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.
Conjugate Type Boundary Value Problems For Functional-Differential Equations, P. W. Eloe, L. J. Grimm
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
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.
Evidence Of Intrinsic Double Acceptor In Gaas, Phil Won Yu, W. C. Mithel, M. G. Mier, S. S. Li, Weizhen Wang
Evidence Of Intrinsic Double Acceptor In Gaas, Phil Won Yu, W. C. Mithel, M. G. Mier, S. S. Li, Weizhen Wang
Mathematics and Statistics Faculty Publications
Acceptors present in undoped p‐type conducting GaAs have been studied with photoluminescence, temperature‐dependent Hall measurements, deep level transient spectroscopy, and spark source mass spectrometry. It is shown that p‐type conduction is due to presence of the shallow acceptor CAs and the cation antisite double acceptor GaAs. The first and second ionization energies determined for GaAs are 77 and 230 meV from the valence‐band edge.
Sequential Probability Ratio Tests For The Shape Parameter Of A Nonhomogeneous Poisson Process, Lee J. Bain, Max Engelhardt
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 …
Dissertation: The Least Fixed Point Property For Ω-Chain Continuous Functions, Joe Mashburn
Dissertation: The Least Fixed Point Property For Ω-Chain Continuous Functions, Joe Mashburn
Mathematics Faculty Publications
The basic definitions are given in the first section, including those for ω-chain continuity, ω-chain completeness, and the least fixed point property for ω-chain continuous functions. Some of the relations between completeness and fixed point properties in partially ordered sets are stated and it is briefly shown how the question basic to the dissertation arises.
In the second section, two examples are given showing that a partially ordered set need not be ω-chain complete to have the least fixed point property for ω-chain continuous functions.
Retracts are discussed in section 3, where it is seen that they are not sufficient …
Classes Of L¹-Convergence Of Fourier And Fourier-Stieltjes Series, Časlav V. Stanojevic
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∆an = 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
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.
Three Counterexamples Concerning Ω-Chain Continuous Functions And Fixed-Point Properties, Joe Mashburn
Three Counterexamples Concerning Ω-Chain Continuous Functions And Fixed-Point Properties, Joe Mashburn
Mathematics Faculty Publications
A partially ordered set is ω-chain complete if, for every countable chain, or ω-chain, in P, the least upper bound of C, denoted by sup C, exists. Notice that C could be empty, so an ω-chain complete partially ordered set has a least element, denoted by 0.
Embedding Discrete Flows On R In A Continuous Flow, P. L. Sharma, Troy L. Hicks
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
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
Newtruck: A Comprehensive Long-Term Project In Computer Science, Daniel C. St. Clair
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
The Total Negation Of A Topological Property, Paul Bankston
The Total Negation Of A Topological Property, Paul Bankston
Mathematics, Statistics and Computer Science Faculty Research and Publications
No abstract provided.
Bayes Estimation Of Reliability For Mixtures Of Life Distributions, William J. Padgett, Chris P. Tsokos
Bayes Estimation Of Reliability For Mixtures Of Life Distributions, William J. Padgett, Chris P. Tsokos
Faculty Publications
No abstract provided.
Fixed Point Theorems In Generalized Hilbert Spaces, Troy L. Hicks, Ed W. Huffman
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
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
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.
Quasi-Triangular Matrices, Joanne Dombrowski
Quasi-Triangular Matrices, Joanne Dombrowski
Mathematics and Statistics Faculty Publications
It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.
A Random Differential-Equation Approach To Probability Distribution Of Bod And Do In Streams, William J. Padgett, G Schultz, Chris P. Tsokos
A Random Differential-Equation Approach To Probability Distribution Of Bod And Do In Streams, William J. Padgett, G Schultz, Chris P. Tsokos
Faculty Publications
No abstract provided.
Convex Cones And Dentability, J. C. Hankins, R. (Roy) M. Rakestraw
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
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
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.
Regular Singular Differential Equations Whose Conjugate Equation Has Polynomial Solutions, Leon M. Hall
Regular Singular Differential Equations Whose Conjugate Equation Has Polynomial Solutions, Leon M. Hall
Mathematics and Statistics Faculty Research & Creative Works
Consider the n -dimensional singular differential system defined by the operator $L:(Ly)(z) = z^p y'(z) + A(z)y(z)$, where z is a complex variable and p is a positive integer. The solvability of the nonhomogeneous system $Ly = g$ depends on the solutions of the homogeneous conjugate system, $L^ * f = 0$, where $L^ * $ is the operator conjugate to L. We show that $L^ * f = 0$ has polynomial solutions if the constant matrix in the series expansion of $A(z)$ has at least one nonpositive integer eigenvalue. Also, we show that if $L^ * f = 0$ …
Positive Perturbations Of Unbounded Operators, Joanne Dombrowski
Positive Perturbations Of Unbounded Operators, Joanne Dombrowski
Mathematics and Statistics Faculty Publications
This work studies the spectral properties of certain unbounded selfadjoint operators by considering positive perturbations of such operators and the unitary equivalence of the perturbed and unperturbed transformations. Conditions are obtained on the unitary operators implementing this equivalence which guarantee that the selfadjoint operators have an absolutely continuous part.
A Class Of Functional Equations And Mielnik Probability Spaces, S. J. Guccione, Caslav V. Stanojevic
A Class Of Functional Equations And Mielnik Probability Spaces, S. J. Guccione, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
Let S be the unit sphere of a normed real linear space N and let (S, p) be a Mielnik space of dimension two. For p(x, y) = f(‖x+y‖), x, yєS, where /is a continuous, strictly increasing function from [0, 2] onto [0, 1], it has been shown that (S, p) being two dimensional is equivalent to N being an inner product space. In some polarization problems modeled on the unit sphere of an inner product space, the transition probability p(x, y) may not be as well behaved as p(x, y) = f(‖x + y‖). In order to provide a …
Quasi-Unmixedness And Integral Closure Of Rees Rings, Peter G. Sawtelle
Quasi-Unmixedness And Integral Closure Of Rees Rings, Peter G. Sawtelle
Mathematics and Statistics Faculty Research & Creative Works
For certain Rees rings ℛ of a local domain R, the quasiunmixedness of R is characterized in terms of a certain transform of ℛ being contained in the integral closure of ℛ. © 1976 American Mathematical Society.
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
It is shown that to a certain cosine series f, a Rees-Stanojević cosine sumn can be associated such that gn converges to f pointwise, and a necessary and sufficient condition for L1 convergence of gn to f is given. As a corollary to that result we have a generalization of the classical result of this kind. Other corollaries are given concerning the well-known integrability conditions. © 1975, American Mathematical Society.