Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- TÜBİTAK (2494)
- Claremont Colleges (1815)
- Selected Works (1382)
- University of New Mexico (799)
- University of the Pacific (773)
-
- Louisiana State University (744)
- University of Texas at El Paso (609)
- University of Texas Rio Grande Valley (574)
- University of Texas at Arlington (540)
- Missouri University of Science and Technology (504)
- Georgia Southern University (498)
- Utah State University (482)
- Indian Statistical Institute (457)
- University of Montana (426)
- University of South Florida (411)
- Marquette University (391)
- University of Nebraska - Lincoln (366)
- Taylor University (349)
- Technological University Dublin (346)
- City University of New York (CUNY) (335)
- University of Dayton (319)
- Prairie View A&M University (301)
- Old Dominion University (289)
- Portland State University (287)
- Chapman University (281)
- University of Richmond (264)
- Smith College (259)
- Brigham Young University (233)
- Wayne State University (233)
- California State University, San Bernardino (232)
- Keyword
-
- Mathematics (1124)
- Technical Reports (334)
- UTEP Computer Science Department (334)
- Algebra (264)
- Statistics (202)
-
- Calculus (197)
- Mathematics Research (196)
- Graph theory (173)
- Geometry (167)
- Math (156)
- Algorithms (151)
- Combinatorics (150)
- Optimization (125)
- Differential equations (122)
- Computer science (120)
- Neutrosophic logic (116)
- Probability (110)
- Stability (107)
- Pure sciences (105)
- Topology (100)
- Education (98)
- Published Research Papers (94)
- Number theory (92)
- Polynomials (83)
- Graphs (74)
- Machine learning (73)
- Mathematics education (70)
- Cryptography (69)
- Banach spaces (63)
- Modeling (62)
- Publication Year
- Publication
-
- Turkish Journal of Mathematics (2494)
- Mathematics Faculty Publications (690)
- Branch Mathematics and Statistics Faculty and Staff Publications (679)
- All Works by Eneström Number (666)
- Theses and Dissertations (649)
-
- Journal of Humanistic Mathematics (586)
- Departmental Technical Reports (CS) (520)
- Electronic Theses and Dissertations (453)
- Doctoral Theses (451)
- School of Mathematical and Statistical Sciences Faculty Publications and Presentations (436)
- Communications on Stochastic Analysis (429)
- The Mathematics Enthusiast (411)
- Humanistic Mathematics Network Journal (409)
- Mathematics and Statistics Faculty Publications (406)
- Daryl Bagley (374)
- All HMC Faculty Publications and Research (352)
- Mathematics and Statistics Faculty Research & Creative Works (351)
- Mathematics Technical Papers (343)
- Mathematics, Statistics and Computer Science Faculty Research and Publications (321)
- Articles (316)
- Applications and Applied Mathematics: An International Journal (AAM) (300)
- Faculty Publications (283)
- Dissertations (267)
- Honors Theses (249)
- Doctoral Dissertations (238)
- Department of Mathematics: Faculty Publications (218)
- Department of Mathematical Sciences Faculty Publications (194)
- Mathematics, Physics, and Computer Science Faculty Articles and Research (188)
- Mathematics (186)
- Undergraduate Journal of Mathematical Modeling: One + Two (180)
- Publication Type
Articles 24091 - 24120 of 27407
Full-Text Articles in Physical Sciences and Mathematics
The Use Of Non-Commutative Algebra In Cryptographically Secure Pseudo-Random Number Generators, Brian M. Mckeever
The Use Of Non-Commutative Algebra In Cryptographically Secure Pseudo-Random Number Generators, Brian M. Mckeever
Honors Theses
This thesis begins with a general overview of pseudo-random number generators and some of their applications. This thesis then describes their applications to cryptography, and some additional requirements imposed by cryptography. This thesis then provides an introduction to the ring of quaternions, and discusses how they can be included in pseudo-random number generators. Finally, this thesis provides a description of the performance of these generators.
History Of Fermat's Last Theorem, Amanda Brown
History Of Fermat's Last Theorem, Amanda Brown
Undergraduate Honors Capstone Projects
Around 1637, Pierre de Fermat made a now-famous mathematical conjecture. However, Fermat's conjecture neither began nor ended with him. Fermat's last theorem, as the conjecture is called, has roots approximately 3600 years old. The proof of the theorem was not realized until 1994, over 350 years after it was proposed by Fermat.
Gnarled Defined, Rudy Rucker
Gnarled Defined, Rudy Rucker
SWITCH
The article is a reflection of the author’s conception of the term ‘gnarly’, extending the term’s meaning from its origins in California surfer slang. 'Gnarly' is often used in a colloquial context, however, the author believes that the term is able to be used in an academic field as it pertains to outcomes and results of equations. Discussions towards the application of the term 'gnarly' showcase how it can be used in a scientific, mathematical, and artistic context through seemingly random patterns. In order to be gnarly, things must lie and exist between the realm of orderly and chaotic often …
Applications Of Optimal Control, Katherine Renee Fister
Applications Of Optimal Control, Katherine Renee Fister
Doctoral Dissertations
In this dissertation, we investigate optimal control of partial and ordinary differential equations. We prove the existence of an optimal control for which the objective functional is maximized. The goal is to characterize the optimal control in terms of the solution of the optimality system. The optimality system consists of the state equations coupled with the adjoint equations. To obtain the optimality system we differentiate the objective functional with respect to the control. This process is applied to harvesting in a predator-prey parabolic system, to analyzing surface runoff in a parabolic problem, and to controlling the effect of the HIV …
The Exponential Stability Of A Coupled Hyperbolic/Parabolic System Arising In Structural Acoustics, George Avalos
The Exponential Stability Of A Coupled Hyperbolic/Parabolic System Arising In Structural Acoustics, George Avalos
Department of Mathematics: Faculty Publications
We show here the uniform stabilization of a coupled system of hyperbolic and parabolic PDE’s which describes a particular fluid/structure interaction system. This system has the wave equation, which is satisfied on the interior of a bounded domain Ω, coupled to a “parabolic–like” beam equation holding on ∂Ω, and wherein the coupling is accomplished through velocity terms on the boundary. Our result is an analog of a recent result by Lasiecka and Triggiani which shows the exponential stability of the wave equation via Neumann feedback control, and like that work, depends upon a trace regularity estimate for solutions of hyperbolic …
Droplet Evaporation And Deformations In An Amplitude Modulated Ultrasonic Field, Nihad E. Daidzic, Rene Stadler, Adrian Melling
Droplet Evaporation And Deformations In An Amplitude Modulated Ultrasonic Field, Nihad E. Daidzic, Rene Stadler, Adrian Melling
Aviation Department Publications
The aim of the report presented is the measurements of droplet oscillations.
Imsa Math Journal: A Resource Notebook For High School Mathematics, Illinois Mathematics And Science Academy
Imsa Math Journal: A Resource Notebook For High School Mathematics, Illinois Mathematics And Science Academy
IMSA Math Journal
We are proud to present the fourth issue of the IMSA Math Journal. In this edition we have included work by IMSA faculty, support staff, students, and alumni as well as articles by a faculty member of a sister school, The North Carolina School of Science and Mathematics and a colleague at Eastern Illinois University.
Excerpt: Letter from the Editors
Stability Analysis Of A Model For The Defect Structure Of Yba2cu3ox, Gregory Kozlowski, Tom Svobodny
Stability Analysis Of A Model For The Defect Structure Of Yba2cu3ox, Gregory Kozlowski, Tom Svobodny
Physics Faculty Publications
Unusual microstructures of YBa2Cu3Ox (123) crystals have been observed. These structures have been shown to pass very high transport currents. A model of the solidification of 123 from a melt with Y2BaCuO5 (211) inclusions indicates that the stability of the 123 interface can depend on the sizes of the 211 inclusions. The observed formations are interpreted in the light of this instability.
Determinants Of The Tournaments, Clifford A. Mccarthy '94, Arthur T. Benjamin
Determinants Of The Tournaments, Clifford A. Mccarthy '94, Arthur T. Benjamin
All HMC Faculty Publications and Research
No abstract provided in this article.
An Efficient Spectral Method For Ordinary Differential Equations With Rational Function Coefficients, Evangelos A. Coutsias, Thomas Hagstrom, David Torres
An Efficient Spectral Method For Ordinary Differential Equations With Rational Function Coefficients, Evangelos A. Coutsias, Thomas Hagstrom, David Torres
Branch Mathematics and Statistics Faculty and Staff Publications
We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of orthogonal polynomial families, including all the classical orthogonal polynomials. These families obey a simple 3-term recurrence relation for differentiation, which implies that on an appropriately restricted domain the differentiation operator has a unique banded inverse. The inverse is an integration operator for the family, and it is simply the tridiagonal coefficient matrix for the recurrence. Since in these families convolution operators (i.e., matrix representations of multiplication by a function) are banded for …
Exact Solutions For Orthogonal And Non-Orthogonal Magnetohydrodynamic Stagnation-Point Flow, Shahrooz Moosavizadeh
Exact Solutions For Orthogonal And Non-Orthogonal Magnetohydrodynamic Stagnation-Point Flow, Shahrooz Moosavizadeh
Mathematics & Statistics Theses & Dissertations
The viscous plane flow of an electrically conducting fluid towards an infinite wall is solved in the presence of a magnetic field which is aligned with the flow far from the wall. The problem has two dimensionless parameters-- ε, the magnetic Prandtl number, and β, the square of the ratio of Alfven velocity to fluid velocity far from the wall. The problem has a similarity solution which reduces the governing equations to a system of coupled ordinary differential equations which can be solved numerically. For extreme values of ε, both large and small, singular perturbation techniques are used to derive …
Some Problems In Joint Spectral Theory., Tirthankar Bhattacharya Dr.
Some Problems In Joint Spectral Theory., Tirthankar Bhattacharya Dr.
Doctoral Theses
No abstract provided.
Function Approximation Using A Sinc Neural Network, Wael R. Elwasif, Laurene V. Fausett
Function Approximation Using A Sinc Neural Network, Wael R. Elwasif, Laurene V. Fausett
Mathematics and System Engineering Faculty Publications
Neural networks for function approximation are the basis of many applications. Such networks often use a sigmoidal activation function (e.g. tanh) or a radial basis function (e.g. gaussian). Networks have also been developed using wavelets. In this paper, we present a neural network approximation of functions of a single variable, using sinc functions for the activation functions on the hidden units. Performance of the sinc network is compared with that of a tanh network with the same number of hidden units. The sinc network generally learns the desired input-output mapping in significantly fewer epochs, and achieves a much lower total …
Divergence Diagrams: More Than Cantor Dust Lies At The Edge Of Feigenbaum Diagrams, John H. Rickert, Aaron Klebanoff
Divergence Diagrams: More Than Cantor Dust Lies At The Edge Of Feigenbaum Diagrams, John H. Rickert, Aaron Klebanoff
Mathematical Sciences Technical Reports (MSTR)
The dynamical system analysis of the logistic map f(x)=ax(1-x) is studied for values of a greater than 4.
Combinatorics Of Open Covers (I): Ramsey Theory, Marion Scheepers
Combinatorics Of Open Covers (I): Ramsey Theory, Marion Scheepers
Mathematics Faculty Publications and Presentations
We study several schemas for generating from one sort of open cover of a topological space a second sort of open cover. Some of these schemas come from classical literature, others are borrowed from the theory of ultrafilters on the set of positive integers. We show that the fact that such a schema actually succeeds in producing a cover imposes strong combinatorial structure on the family of open covers of a certain sort. In particular, we show that certain analogues of Ramsey’s theorem characterize some of these circumstances.
Nonlinear Noise Reduction For Electrocardiograms, Daniel T. Kaplan, T. Schreiber
Nonlinear Noise Reduction For Electrocardiograms, Daniel T. Kaplan, T. Schreiber
Daniel T. Kaplan
No abstract provided.
New Mathematical Properties Of The Least Square Value, Irinel Dragan
New Mathematical Properties Of The Least Square Value, Irinel Dragan
Mathematics Technical Papers
The Least Square Values for cooperative TU games (briefly, LS-values) represent a family of solutions of the following family of optimization problems associated with a cooperative TU game: minimize the sum of weighted squares of deviations of the excesses from their average, on the preimputation set; the weights were positive numbers associated to the coalitions, depending only on their size. For each system of weights a LS-value is obtained by the Lagrange multipliers method; the Shapley value belongs to the family for specified weights. L. Ruiz, F. Valenciano and J. Zarzuelo who introduced this class of values (see[9]), gave two …
Effective Characteristic Polynomials And Two-Point Pade Approximants As Summation Techniques For The Strongly Divergent Perturbation Expansions Of The Ground State Energies Of Anharmonic Oscillators, Jiri Cizek, Ernst Joachim Weniger, Paul Bracken, Vladimir Spirko
Effective Characteristic Polynomials And Two-Point Pade Approximants As Summation Techniques For The Strongly Divergent Perturbation Expansions Of The Ground State Energies Of Anharmonic Oscillators, Jiri Cizek, Ernst Joachim Weniger, Paul Bracken, Vladimir Spirko
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Pade approximants are able to sum effectively the Rayleigh-Schrodinger perturbation series for the ground state energy of the quartic anharmonic oscillator, as well as the corresponding renormalized perturbation expansion [E.J. Weniger, J. Cizek, and F. Vinette, J. Math. Phys. 34, 571 (1993)]. In the sextic case, Pade approximants are still able to sum these perturbation series, but convergence is so slow that they are computationally useless. In the octic case, Pade approximants are not powerful enough and fail. On the other hand, the inclusion of only a few additional data from the strong coupling domain [E.J. Weniger, Ann. Phys. (N.Y.) …
Employement Fluctuations In Rural India:A Statistical Analysis With Special Reference To Maharsatra., Kaushik Bhattacharya Dr.
Employement Fluctuations In Rural India:A Statistical Analysis With Special Reference To Maharsatra., Kaushik Bhattacharya Dr.
Doctoral Theses
This dissertation attempts to find out the nature and the extent of employment fluctuation in rural India. The dissertation is partly theoretical and partly empirical in nature. On the methodological side, it builds up a consistent analytical frame- work. Employment fluctuation is measured in terms of a new mobility measure proposed in this dissertation. The empirical work is basod on the data collected by the National Sample Survey Organisation (NSSO), Government of India, in their 38-th round survey operation. I, therefore, thank NSSO for allowing me to work with the data. The views expressod in this dissertation or the errors …
Evolutionary Semigroups And Dichotomy Of Linear Skew-Product Flows On Locally Compact Spaces With Banach Fibers, Y. Latushkin, S. Montgomery-Smith, Timothy W. Randolph
Evolutionary Semigroups And Dichotomy Of Linear Skew-Product Flows On Locally Compact Spaces With Banach Fibers, Y. Latushkin, S. Montgomery-Smith, Timothy W. Randolph
Mathematics and Statistics Faculty Research & Creative Works
We study evolutionary semigroups generated by a strongly continuous semi-cocycle over a locally compact metric space acting on Banach fibers. This setting simultaneously covers evolutionary semigroups arising from non-autonomous abstract Cauchy problems and C0-semigroups, and linear skew-product flows. The spectral mapping theorem for these semigroups is proved. The hyperbolicity of the semigroup is related to the exponential dichotomy of the corresponding linear skew-product flow. To this end a Banach algebra of weighted composition operators is studied. The results are applied in the study of: "roughness" of the dichotomy, dichotomy and solutions of nonhomogeneous equations, Green's function for a linear skew-product …
An Existence Result For Linear Partial Differential Equations With C∞ Coefficients In An Algebra Of Generalized Functions, Todor D. Todorov
An Existence Result For Linear Partial Differential Equations With C∞ Coefficients In An Algebra Of Generalized Functions, Todor D. Todorov
Mathematics
We prove the existence of solutions for essentially all linear partial differential equations with C∞-coefficients in an algebra of generalized functions, defined in the paper. In particular, we show that H. Lewy’s equation has solutions whenever its right-hand side is a classical C∞-function.
Building Home Plate: Field Of Dreams Or Reality?, Michael J. Bradley
Building Home Plate: Field Of Dreams Or Reality?, Michael J. Bradley
Mathematics Faculty Publications
No abstract provided.
Radial Solutions To A Dirichlet Problem Involving Critical Exponents When N=6, Alfonso Castro, Alexandra Kurepa
Radial Solutions To A Dirichlet Problem Involving Critical Exponents When N=6, Alfonso Castro, Alexandra Kurepa
All HMC Faculty Publications and Research
In this paper we show that, for each λ>0, the set of radially symmetric solutions to the boundary value problem
-Δu(x) = λu(x) + u(x)|u(x)|, x ε B := {x ε R6:|x|<1},
u(x) = 0, x ε ∂B
is bounded. Moreover, we establish geometric properties of the branches of solutions bifurcating from zero and from infinity.
Continuous Deformation Of A Developable Surface, Chili Ping Hsu
Continuous Deformation Of A Developable Surface, Chili Ping Hsu
Mathematics Technical Papers
A developable surface can be developed from a piece of planar region, or vice versa. Several methods are known to construct an isometric mapping between the developable and the planar region. A simple and efficient algorithm based on the differential geometry and differential equations is presented to construct such an isometric mapping. This algorithm contains a deformation parameter ^, where ^ varies between 0 and 1, that can trace the development of the surface in a fashion that ^ = 0 corresponds to the planar region and ^ = 1 recovers the developable. An error estimation shows the error, in …
A Note On Generators Of Least Degree In Gorenstein Ideals, Matthew Miller, Rafael H. Villarreal
A Note On Generators Of Least Degree In Gorenstein Ideals, Matthew Miller, Rafael H. Villarreal
Faculty Publications
No abstract provided.
Inverse Limits On [0,1] Using Logistic Bonding Maps, Marcy Barge, William Thomas Ingram
Inverse Limits On [0,1] Using Logistic Bonding Maps, Marcy Barge, William Thomas Ingram
Mathematics and Statistics Faculty Research & Creative Works
In this paper we investigate inverse limits on [0,1] using a single bonding map chosen from the logistic family, fλ (x) = 4λx(1-x) for 0 ≤ λ ≤ 1. Many interesting continua occur as such inverse limits from arcs to indecomposable continua. Among other things we observe that up through the Feigenbaum limit the inverse limit is a point or is hereditarily decomposable and otherwise the inverse limit contains an indecomposable continuum. © 1996 Elsevier Science B.V. All rights reserved.
The Closed Geodesic Problem For Compact Riemannian 2-Orbifolds, Joseph E. Borzellino, Benjamin G. Lorica
The Closed Geodesic Problem For Compact Riemannian 2-Orbifolds, Joseph E. Borzellino, Benjamin G. Lorica
Mathematics
In this paper it is shown that any compact Riemannian 2-orbifold whose underlying space is a (compact) manifold without boundary has at least one closed geodesic.
On A Differential Analog Of The Prime-Radical And Properties Of The Lattice Of Radical Differential Ideals In Associative Differential Rings, D. Hadjiev, F. Çallialp, A. Eden
On A Differential Analog Of The Prime-Radical And Properties Of The Lattice Of Radical Differential Ideals In Associative Differential Rings, D. Hadjiev, F. Çallialp, A. Eden
Turkish Journal of Mathematics
In this paper we prove the following results: (1) For any assosiative differential ring with the unit we introduce a differential analog of the prime-radical and describe it; (2) any maximal differential ideal of a Ritt algebra is prime; (3) The lattice of radical differential ideals satisfies the condition of infinite \cap- distributivity.
Election Day Puzzle, 1996, Jeremiah Farrell
Election Day Puzzle, 1996, Jeremiah Farrell
Scholarship and Professional Work - LAS
Jeremiah Farrell's famous 1996 Election Day Puzzle. The puzzle was released the day before the results of the election were announced and the answer to 39 across could have been either CLINTON or BOBDOLE.
On The Inner Automorphisms Of Finite Transformation Semigroups., Inessa Levi
On The Inner Automorphisms Of Finite Transformation Semigroups., Inessa Levi
Faculty Bibliography
No abstract provided.