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Articles 151 - 180 of 212
Full-Text Articles in Entire DC Network
Exact Multiplicity Results For Boundary Value Problems With Nonlinearities Generalizing Cubic, Philip Korman, Yi Li, Tiancheng Ouyang
Exact Multiplicity Results For Boundary Value Problems With Nonlinearities Generalizing Cubic, Philip Korman, Yi Li, Tiancheng Ouyang
Mathematics and Statistics Faculty Publications
No abstract provided.
A Center-Unstable Manifold Theorem For Parametrically Excited Surface Waves, Larry Turyn
A Center-Unstable Manifold Theorem For Parametrically Excited Surface Waves, Larry Turyn
Mathematics and Statistics Faculty Publications
When fluid in a rectangular tank sits upon a platform which is oscillating with sufficient amplitude, surface waves appear in the ''Faraday resonance.'' Scientists and engineers have done bifurcation analyses which assume that there is a center manifold theory using a finite number of excited spatial modes. We establish such a center manifold theorem for Xiao-Biao Lin's model in which potential flow is assumed but an artificial dissipation term is included in the system of partial differential equations on the free surface. We use interpolation spaces developed by da Prate and Grisvard, establish maximal regularity for a family of evolution …
Asymptotic Conservation Laws In Classical Field Theory, Ian M. Anderson, Charles G. Torre
Asymptotic Conservation Laws In Classical Field Theory, Ian M. Anderson, Charles G. Torre
Mathematics and Statistics Faculty Publications
A new, general, field theoretic approach to the derivation of asymptotic conservation laws is presented. In this approach asymptotic conservation laws are constructed directly from the field equations according to a universal prescription which does not rely upon the existence of Noether identities or any Lagrangian or Hamiltonian formalisms. The resulting general expressions of the conservation laws enjoy important invariance properties and synthesize all known asymptotic conservation laws, such as the Arnowitt-Deser-Misner energy in general relativity.
On The Structure Of The Deflagration For The Generalized Reaction-Rate Model, William B. Bush, L. Krishnamurthy
On The Structure Of The Deflagration For The Generalized Reaction-Rate Model, William B. Bush, L. Krishnamurthy
Mathematics and System Engineering Faculty Publications
The structure of the deflagration is examined by means of an asymptotic analysis of the physical-plane boundary-value problem, with Lewis-Semenov number unity, in the limit of the activation-temperature ratio, β = Ta/Tb, greater than order unity, for the generalized reaction-rate-model case of (1) the heat- addition-temperature ratio, α = (Tb — Tu)/Tu, of order unity [where Ta, Tb, and Tu are the activation, adiabatic-flame (and/or burned-gas), and unburned-gas temperatures, respectively]; and (2) the exponent, a, which characterizes the pre-exponential thermal dependence of the reaction-rate term, unity. This examination indicates that the deflagration has a four-region structure. To obtain a uniformly …
Knots About Stokes' Theorem, Michael C. Sullivan
Knots About Stokes' Theorem, Michael C. Sullivan
Articles and Preprints
Connections between knot theory and Stokes' Theorem as presented to students in a sophomore level vector calculus class.
Stochastic Differential Systems With Memory: Theory, Examples And Applications (Sixth Workshop On Stochastic Analysis), Salah-Eldin A. Mohammed
Stochastic Differential Systems With Memory: Theory, Examples And Applications (Sixth Workshop On Stochastic Analysis), Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
No abstract provided.
Cardinal Invariants Concerning Extendable And Peripherally Continuous Functions, Krzysztof Ciesielski
Cardinal Invariants Concerning Extendable And Peripherally Continuous Functions, Krzysztof Ciesielski
Faculty & Staff Scholarship
Let F be a family of real functions, F ⊆ R R . In the paper we will examine the following question. For which families F ⊆ R R does there exist g : R → R such that f + g ∈ F for all f ∈ F? More precisely, we will study a cardinal function A(F) defined as the smallest cardinality of a family F ⊆ R R for which there is no such g. We will prove that A(Ext) = A(PR) = c + and A(PC) = 2c , where Ext, PR and PC stand for the …
Structured Eigenvectors, Interlacing, And Matrix Completions, Brenda K. Kroschel
Structured Eigenvectors, Interlacing, And Matrix Completions, Brenda K. Kroschel
Dissertations, Theses, and Masters Projects
This dissertation presents results from three areas of applicable matrix analysis: structured eigenvectors, interlacing, and matrix completion problems. Although these are distinct topics, the structured eigenvector results provide connections.;It is a straightforward matrix calculation that if {dollar}\lambda{dollar} is an eigenvalue of A, x an associated structured eigenvector and {dollar}\alpha{dollar} the set of positions in which x has nonzero entries, then {dollar}\lambda{dollar} is also an eigenvalue of the submatrix of A that lies in the rows and columns indexed by {dollar}\alpha{dollar}. We present a converse to this statement and apply the results to interlacing and to matrix completion problems. Several corollaries …
Zeros Of Derivatives Of Dirichlet L-Functions, C. Yalçin Yildirim
Zeros Of Derivatives Of Dirichlet L-Functions, C. Yalçin Yildirim
Turkish Journal of Mathematics
In this paper diverse results on the location and number of zeros of derivatives of Dirichlet L-functions are proved.
Macroelements And Orthogonal Multiresolutional Analysis, Jonathan M. Corbett '96
Macroelements And Orthogonal Multiresolutional Analysis, Jonathan M. Corbett '96
Honors Projects
Orthogonal multiresolutional wavelet analysis in a two dimension setting furnishes a basis for wavelet analysis. Bernstein-Bezier polynomials over simplexes provide elegant expressions of the necessary and sufficient conditions for a shift invariant space generating an orthogonal multiresolution analysis.
The B-Spline Wavelet Recurrence Relation And B-Spline Wavelet Interpolation, Patrick J. Crowley '96
The B-Spline Wavelet Recurrence Relation And B-Spline Wavelet Interpolation, Patrick J. Crowley '96
Honors Projects
In most signal processing applications, a given range of data is best described by a set of local characteristics as opposed to a single global characteristic. In image processing, for example, a region of an image that contains numerous edges is best described as a region whose pixel color values change abruptly, i.e., they are not continuous values of color. A region of constant color, or gradually changing color, is best described as a region whose pixel values are constant, or whose values increase linearly by some factor. It is advantageous to represent this data with signals capable of adapting …
An Analysis Of Shewhart Quality Control Charts To Monitor Both The Mean And Variability, Keith Jacob Barrs
An Analysis Of Shewhart Quality Control Charts To Monitor Both The Mean And Variability, Keith Jacob Barrs
Legacy ETDs
When monitoring the mean of a continuous quality measure it is often recommended a separate chart be used to monitor the variability. These charts are traditionally designed separately. This project considers them together as a combined charting procedure and gives recommendations for their design. This is based on an average run length (ARL) analysis. The run length distribution is determined using two methods both based on a Markov chain approach.
Combinatorics And Campus Security, Arthur T. Benjamin
Combinatorics And Campus Security, Arthur T. Benjamin
All HMC Faculty Publications and Research
One day I received electronic mail from our director of campus security [Gilbraith 1993]:
"I have a puzzle for you that has practical applications for me. I need to know how many different combinations there are for our combination locks. A lock has 5 buttons. In setting the combination you can use only 1button or as many as 5. Buttons may be pressed simultaneously and / or successively, but the same button cannot be used more than once in the same combination.
I had a student (obviously not a math major) email me that there are only 120 possibilities, but …
Meyer Jerison, 1922-1995, Leonard Gillman, Melvin Henriksen
Meyer Jerison, 1922-1995, Leonard Gillman, Melvin Henriksen
All HMC Faculty Publications and Research
Memories and biography of mathematician Meyer Jerison (b. November 28, 1922 - d. March 19, 1995).
Modular Spaces And K-Widths, Asuman Güven Aksoy, Grzegorz Lewicki
Modular Spaces And K-Widths, Asuman Güven Aksoy, Grzegorz Lewicki
CMC Faculty Publications and Research
In this paper, we show that the ball measure of noncompactness of a modular space Xp is equal to the limit of its K -widths when p is a left continuous, s-convex modular function, without any ∆2-condition. We also obtain a similar result for SF-spaces, when the SF-norm N is uniformly continuous.
An Almost Periodic Function Of Several Variables With No Local Minimum, Gregory S. Spradlin
An Almost Periodic Function Of Several Variables With No Local Minimum, Gregory S. Spradlin
Publications
No abstract provided.
Mathematical Rebuses, Florentin Smarandache
Mathematical Rebuses, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
No abstract provided.
Homological Topics In The Representation Theory Of Restricted Lie Algebras, Jorg Feldvoss
Homological Topics In The Representation Theory Of Restricted Lie Algebras, Jorg Feldvoss
University Faculty and Staff Publications
We present some recent developments in the application of homological methods to the representation theory of finite dimensional restricted Lie algebras.
On Noninvertible Mappings Of The Plane: Eruptions, Lora Billings, James H. Curry
On Noninvertible Mappings Of The Plane: Eruptions, Lora Billings, James H. Curry
Department of Mathematics Facuty Scholarship and Creative Works
In this paper we are concerned with the dynamics of noninvertible transformations of the plane. Three examples are explored and possibly a new bifurcation, or ‘‘eruption,’’ is described. A fundamental role is played by the interactions of fixed points and singular curves. Other critical elements in the phase space include periodic points and an invariant line. The dynamics along the invariant line, in two of the examples, reduces to the one-dimensional Newton’s method which is conjugate to a degree two rational map. We also determine, computationally, the characteristic exponents for all of the systems. An unexpected coincidence is that the …
Data Compression Based On The Cubic B-Spline Wavelet With Uniform Two-Scale Relation, S. K. Yang, C. H. Cooke
Data Compression Based On The Cubic B-Spline Wavelet With Uniform Two-Scale Relation, S. K. Yang, C. H. Cooke
Mathematics & Statistics Faculty Publications
The aim of this paper is to investigate the potential artificial compression which can be achieved using an interval multiresolution analysis based on a semiorthogonal cubic B-spline wavelet. The Chui-Quak [1] spline multiresolution analysis for the finite interval has been modified [2] so as to be characterized by natural spline projection and uniform two-scale relation. Strengths and weaknesses of the semiorthogonal wavelet as regards artificial compression and data smoothing by the method of thresholding wavelet coefficients are indicated.
A Multiple-Precision Division Algorithm, David M. Smith
A Multiple-Precision Division Algorithm, David M. Smith
Mathematics Faculty Works
The classical algorithm for multiple-precision division normalizes digits during each step and sometimes makes correction steps when the initial guess for the quotient digit turns out to be wrong. A method is presented that runs faster by skipping most of the intermediate normalization and recovers from wrong guesses without separate correction steps.
Fixed Points And Completeness, Z. Liu
Fixed Points And Completeness, Z. Liu
Turkish Journal of Mathematics
We give five necessary and sufficient conditions for a metric space to be complete.
The Inverse Nonstationary Scattering Problem For A Hyperbolic System Of Equations On Semi-Axis, N. Sh. Iskenderov, A. Yildiz
The Inverse Nonstationary Scattering Problem For A Hyperbolic System Of Equations On Semi-Axis, N. Sh. Iskenderov, A. Yildiz
Turkish Journal of Mathematics
In this paper, the direct and inverse nonstationary scattering problem for a hyperbolic system of n equations (n>3) on a semi-axis is studied. The coefficients of the system are uniquely determined according to scattering operator. The solution of the problem is generalized for an arbitrary natural number n applying the properties of separation of factors by means of operator transformations to some elements of the scattering operator and its inverse as well as reducing the scattering problem given on a semi-axis to the scattering problem on the whole-axis.
On Affine Selection And Separation Of Vector Valued Functions, S. Alpay, Z. Ercan
On Affine Selection And Separation Of Vector Valued Functions, S. Alpay, Z. Ercan
Turkish Journal of Mathematics
Let K be a Choquet simplex, E a Fr\'{e}chet space and \Phi: K \ra 2^E a map such that \Phi(x) is closed and convex for each x \in K. A sufficient condition is given for \Phi to have a continuous affine selection.This is employed to prove a separation theorem for vector valued semicontinuous functions from a Choquet simplex into an ordered Fr\'{e}chet space.
On The \Ell_{P} Norms Of Almost Cauchy-Toeplitz Matrices, D. Bozkurt
On The \Ell_{P} Norms Of Almost Cauchy-Toeplitz Matrices, D. Bozkurt
Turkish Journal of Mathematics
In this study, we have given the definition of almost Cauchy-Toeplitz matrix. i.e. its elements are t_{ij}= a(i=j) and t_{ij}=1/(i-j)\, (i\neq j) such that a is a real number. We have found a lower and upper bounds for the \ell_{p} norm of this matrix. Furthermore, we have done the proof of the conjecture that were given by myself for the spectral norm of this matrix.
On Functions That Are Trivial Cocycles For A Set Of Irrationals. Ii, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill
On Functions That Are Trivial Cocycles For A Set Of Irrationals. Ii, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill
Mathematics Faculty Works
Two results are obtained about the topological size of the set of irrationals for which a given function is a trivial cocycle. An example of a continuous function which is a coboundary with non-L(1) cobounding function is constructed.
On Transitive And Fully Transitive Abelian P-Groups, D. Carroll, Brendan Goldsmith
On Transitive And Fully Transitive Abelian P-Groups, D. Carroll, Brendan Goldsmith
Articles
It is a long standing problem of A.L.S. Corner as to whether there exists a non-transitive fully transitive Abelian p-group with finite Ulm subgroups. The principal result of this paper shows that no such group exists for a special class of p-groups if the Ulm subjgroup is the direct sum of two cyclic groups. Some results on summands of trnsitive and fully transitive groups are obtained.
Configuration Spaces And Imbedding Invariants, Raoul Bott
Configuration Spaces And Imbedding Invariants, Raoul Bott
Turkish Journal of Mathematics
No abstract provided.
Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston
Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston
Turkish Journal of Mathematics
No abstract provided.
Lectures On Seiberg-Witten Invariants, Selman Akbulut
Lectures On Seiberg-Witten Invariants, Selman Akbulut
Turkish Journal of Mathematics
No abstract provided.