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Articles 24421 - 24450 of 27400
Full-Text Articles in Physical Sciences and Mathematics
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. Extensive use is made of Lyapunov-Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. Extensive use is made of Lyapunov–Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Lajos Takács And His Work, Jewgeni H. Dshalalow, Ryszard Syski
Lajos Takács And His Work, Jewgeni H. Dshalalow, Ryszard Syski
Mathematics and System Engineering Faculty Publications
This paper, written in honor of the 70th birthday of Lajos Takács, addresses his life and work, and includes some personal observations and appreciation of his contributions. In particular, it includes a short biography, an informal discussion of some of his major research areas (queueing, fluctuations, waiting time processes, and random rooted trees), and an account of the relationship of his work to that of Félix Pollaczek.
Studies On Design, Routing And Fault Tolerance Of Interconnection Network., Krishnendu Mukhopadhyay Dr.
Studies On Design, Routing And Fault Tolerance Of Interconnection Network., Krishnendu Mukhopadhyay Dr.
Doctoral Theses
A recent trend in computing is to distribute the computations among a set of processing elements. There are two basic appronches to this - one is to build a loosely-coupled system and the other is to form a tightly-coupled system [PS85].In a loosely-coupled system, the processors do not share common memory or a common clock; but sharing of important resources like data files, softwares, special hardware components etc., is possible without duplicating the resources themselves. The processing nodes may even be geographicully separated from each other and are connected through databuses, telephone/radio links, satellite, etc. Such loosely- coupled systems are …
A Positive Answer To The Busemann-Petty Problem In 3 Dimensions, Richard J. Gardner
A Positive Answer To The Busemann-Petty Problem In 3 Dimensions, Richard J. Gardner
Mathematics Faculty Publications
We prove that in E3 the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together with other results, this settles the problem in each dimension.
Perturbations Of Certain Reflexive Algebras, David R. Pitts
Perturbations Of Certain Reflexive Algebras, David R. Pitts
Department of Mathematics: Faculty Publications
In this note we use cohomological techniques to prove that if there is a linear map between two CSL algebras which is close to the identity, then the two CSL algebras are similar. We use our result to show that if 2' is a purely atomic, hyperreflexive CSL with uniform infinite multiplicity which satisfies the 4-cycle interpolation condition, then there are constants d, C > 0 such that whenever L is another CSL such that d(Alg2' , AlgL) < d, then there is an invertible operator S such that S Alg2'S-1 = AlgL and IISII liS-III < 1 + Cd(AIg2' , AIgL).
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
All HMC Faculty Publications and Research
An f-ring (i.e., a lattice-ordered ring that is a subdirect product of totally ordered rings) A is called an SV-ring if A/P is a valuation domain for every prime ideal P of A. If M is a maximal ℓ-ideal of A , then the rank of A at M is the number of minimal prime ideals of A contained in M, rank of A is the sup of the ranks of A at each of its maximal ℓ-ideals. If the latter is a positive integer, then A is said to have finite rank, and if A …
Commutators As Powers In Free Products Of Groups, Leo Comerford, Charles C. Edmunds, Gerhard Rosenberger
Commutators As Powers In Free Products Of Groups, Leo Comerford, Charles C. Edmunds, Gerhard Rosenberger
Leo Comerford
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified
Commutators As Powers In Free Products Of Groups, Leo Comerford, Charles C. Edmunds, Gerhard Rosenberger
Commutators As Powers In Free Products Of Groups, Leo Comerford, Charles C. Edmunds, Gerhard Rosenberger
Faculty Research and Creative Activity
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified
Commutators As Powers In Free Products Of Groups, Leo Comerford, Charles Edmunds, Gerhard Rosenberger
Commutators As Powers In Free Products Of Groups, Leo Comerford, Charles Edmunds, Gerhard Rosenberger
Faculty Research and Creative Activity
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
Mathematics, Statistics and Data Science Faculty Works
An f-ring (i.e., a lattice-ordered ring that is a subdirect product pf totally ordered rings) A is called an SV-ring if AIP is a valuation domain for every prime ideal P of A. If M is a maximal e-ideal of A,then the rank of A at M is the number of minimal prime ideals of A contained in M, rank of A is the sup of the ranks of A at each of its maximal e-ideals. If the latter is a positive integer, then A is said to have finite rank, and if A = C(X) is the ring of …
On Lexical And Syntactic Processing Of Bangla Language By Computer., Probal Sengupta Dr.
On Lexical And Syntactic Processing Of Bangla Language By Computer., Probal Sengupta Dr.
Doctoral Theses
A distinctive intelligent trait of human beings is the ability to carry out meaningful communication through language. The communication may be direct as in spoken conversation or indirect as in written form, through the audio-visual media, etc. Linguistic ability in humans have fascinated scholars ever since man first learnt to use language. Linguistics, the branch of study involved in studying the nature of human linguistic communication, is perhaps as old as language itself. The invention of the computer added a new dimension to linguistics. Making the computer emu- late human linguistic behaviour was taken up as a challenge by computer …
An Algebraic Approach To Derivatives, Julia Lee Roman
An Algebraic Approach To Derivatives, Julia Lee Roman
Theses & Dissertations
The purpose of this thesis is to relate a unique method of dealing with the concept of the derivative of a function. The traditional approach to teaching calculus introduces the idea of the limit of a function early in the course as evidenced in the Essential Elements of the State Board of Education of Texas which places the limit concept as the second essential element of calculus in Texas high schools (Texas Education Agency (TEA) Essential Elements 1991). The "concepts and skills associated with the derivative" (TEA Essential Elements 1991) follow immediately after the introduction of the limit of a …
Letter From The Editor, Issue 10, 1994, Alvin White
Letter From The Editor, Issue 10, 1994, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.
Female Voices In Mathematics: A New Course, Shobha Gulati
Female Voices In Mathematics: A New Course, Shobha Gulati
Humanistic Mathematics Network Journal
No abstract provided.
Poetry, Helen Lewy
Mathematics In Literature And Poetry, Joanne S. Growney
Mathematics In Literature And Poetry, Joanne S. Growney
Humanistic Mathematics Network Journal
No abstract provided.
Math: It's Not Just A Four Letter Word, Susan Byerly
Math: It's Not Just A Four Letter Word, Susan Byerly
Humanistic Mathematics Network Journal
No abstract provided.
Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness
Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness
Humanistic Mathematics Network Journal
No abstract provided.
What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin
What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin
Humanistic Mathematics Network Journal
No abstract provided.
Epsilon And Delta: A Little Love Story, Bonnie Shulman
Epsilon And Delta: A Little Love Story, Bonnie Shulman
Humanistic Mathematics Network Journal
No abstract provided.
Humacrostic, Stephen I. Brown
Humacrostic, Stephen I. Brown
Humanistic Mathematics Network Journal
No abstract provided.
Acoustic-Wave Nonlinearity In Stimulated Brillouin Scattering, Evangelos A. Coutsias, Bruce S. Masson
Acoustic-Wave Nonlinearity In Stimulated Brillouin Scattering, Evangelos A. Coutsias, Bruce S. Masson
Branch Mathematics and Statistics Faculty and Staff Publications
Stimulated Brillouin scattering is investigated here under conditions characterized by high optical pump intensity. Calculations are carried out at 1.3 and 3.8 /jm with pump intensities equal to approximately three times the threshold. Such strong optical forcing leads to significant self-distortion of the density profile in the material wave serving as the optical grating. The method of multiple scales is used to find a uniform asymptotic expansion in the coupling. At the first perturbation level the resonant portion of the problem yields abridged equations for the incident and the scattered waves with frequencies CWaLn d ws = L - 0 …
Partial Difference Sets In P-Groups, James A. Davis
Partial Difference Sets In P-Groups, James A. Davis
Department of Math & Statistics Faculty Publications
Most of the examples of PDS have come in p-groups, and most of these examples are in elementary abelian p-groups. In this paper, we will show an exponent bound for PDS with the same parameters as the elementary abelian case.
Bergman Spaces On An Annulus And The Backward Bergman Shift, William T. Ross
Bergman Spaces On An Annulus And The Backward Bergman Shift, William T. Ross
Department of Math & Statistics Technical Report Series
In this paper, we will give a complete characterization of the invariant subspaces M (under ƒ → zƒ) of the Bergman space Lpa(G), 1 < p < 2, G an annulus, which contain the constant function 1. As an application of this result, we will characterize the invariant subspaces of the adjoint of multiplication by z on the Dirichlet spaces Dq, q > 2, as well as the invariant subspaces of the backward Bergman shift ƒ → (ƒ – ƒ(0))/z on Lpa(𝔻), 1 < p < 2.
Minimax-Optimal Strategies For The Best-Choice Problem When A Bound Is Known For The Expected Number Of Objects, Theodore P. Hill, D. P. Kennedy
Minimax-Optimal Strategies For The Best-Choice Problem When A Bound Is Known For The Expected Number Of Objects, Theodore P. Hill, D. P. Kennedy
Research Scholars in Residence
For the best-choice (or secretary) problem with an unknown number N of objects, minimax-optimal strategies for the observer and minimax distributions for N are derived under the assumption that N is a random variable with expected value at most M, where M is known. The solution is derived as a special case of the situation where N is constrained by Ef(N) ≤ M, where f is increasing with f(i)-f(i-1) convex.
Carmichael's Conjecture On The Euler Function Is Valid Below 10(10,000,000, Stan Wagon, A. Schlafly
Carmichael's Conjecture On The Euler Function Is Valid Below 10(10,000,000, Stan Wagon, A. Schlafly
Stan Wagon, Retired
No abstract provided.
Evolving Plane Curves By Curvature In Relative Geometries Ii, Michael E. Gage, Yi Li
Evolving Plane Curves By Curvature In Relative Geometries Ii, Michael E. Gage, Yi Li
Mathematics and Statistics Faculty Publications
In this paper we prove the existence of self-similar solutions to the anisotropic curve shortening equation.
Rational Cubic B-Spline Interpolation And Its Applications In Computer Aided Geometric Design, Kotien Wu
Rational Cubic B-Spline Interpolation And Its Applications In Computer Aided Geometric Design, Kotien Wu
Mathematics & Statistics Theses & Dissertations
Because of the flexibility that the weights and the control points provide, NURBS have recently become very popular tools for the design of curves and surfaces. If the weights are positive then the NURB will lie in the convex hull of its control points and will not possess singularities. Thus it is desirable to have positive weights.
In utilizing a NURB a designer may desire that it pass through a set of data points {xi} This interpolation problem is solved by the assigning of weights to each data point. Up to now little has been known regarding the …
Some Sampling Designs And Estimation Problems, Hassan Lakkis
Some Sampling Designs And Estimation Problems, Hassan Lakkis
Mathematics & Statistics Theses & Dissertations
In the first chapter we review some standard estimators in sampling from a finite population, and some design-based estimators in sampling from a continuous universe.
In concert with the theory initiated by professor Douglas Robson (personal communication) and later presented by Cordy (1993), we consider design-based variance estimation for probability sampling from a continuous and spatially distributed universe. Using this theory in chapter two, the sampling design of one random point from each cell of a translated grid is investigated and the problem of edge effects on estimation is illustrated with examples. Also in chapter four, standard systematic sampling methods …