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 (803)
- University of the Pacific (773)
-
- Louisiana State University (744)
- University of Texas at El Paso (620)
- University of Texas Rio Grande Valley (577)
- 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 (1122)
- Technical Reports (345)
- UTEP Computer Science Department (345)
- Algebra (264)
- Statistics (202)
-
- Calculus (197)
- Mathematics Research (196)
- Graph theory (173)
- Geometry (168)
- Math (156)
- Algorithms (151)
- Combinatorics (150)
- Optimization (126)
- Differential equations (122)
- Computer science (118)
- Neutrosophic logic (116)
- Probability (110)
- Stability (107)
- Pure sciences (105)
- Topology (100)
- Education (99)
- 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) (531)
- Electronic Theses and Dissertations (454)
- Doctoral Theses (451)
- School of Mathematical and Statistical Sciences Faculty Publications and Presentations (439)
- 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 (268)
- 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 22171 - 22200 of 27440
Full-Text Articles in Physical Sciences and Mathematics
Continuous Images Of Big Sets And Additivity Of S0 Under Cpaprism, Krzysztof Ciesielski
Continuous Images Of Big Sets And Additivity Of S0 Under Cpaprism, Krzysztof Ciesielski
Faculty & Staff Scholarship
We prove that the Covering Property Axiom CPAprism, which holds in the iterated perfect set model, implies the following facts.
- There exists a family G of uniformly continuous functions from R to [0,1] such that G has cardinality \omega1 < \continuum and for every subset S of R of cardinality \continuum there exists a g in G with g[S]=[0,1].
- The additivity of the Marczewski's ideal s0 is equal to \omega1 < \continuum.
Statistical Inference For The Risk Ratio In 2x2 Binomial Trials With Stuctural Zero, Suzhong Tian
Statistical Inference For The Risk Ratio In 2x2 Binomial Trials With Stuctural Zero, Suzhong Tian
Electronic Theses and Dissertations
In some statistical analyses, researchers may encounter the problem of analyzing correlated 2x2 table with a structural zero in one of the off diagonal cells. Structural zeros arise in situation where it is theoretically impossible for a particular cell to be observed. For instance, Agresti (1990) provided an example involving a sample of 156 calves born in Okeechobee County, Florida. Calves are first classified according to whether they get a pneumonia infection within certain time. They are then classified again according to whether they get a secondary infection within a period after the first infection clears up. Because subjects cannot, …
The Effects Of The Cognitive Tutor Algebra On Student Attitudes And Achievement In A 9th Grade Algebra Course, Gary S. Plano
The Effects Of The Cognitive Tutor Algebra On Student Attitudes And Achievement In A 9th Grade Algebra Course, Gary S. Plano
Seton Hall University Dissertations and Theses (ETDs)
.
Book Review: Differential Equations And Mathematical Biology, D.S. Jones, B.D. Sleeman, In: Crc Mathematical Biology And Medicine Series. Chapman & Hall (2003), Hardback, 408 Pages, $79.95, Isbn: 1584882964, Christopher Kribs
Mathematics Faculty Publications
No abstract provided.
Anatomy Of A Chaotic Attractor: Subtle Model-Predicted Patterns Revealed In Population Data, Aaron A. King, R. F. Costantino, J. M. Cushing, Shandelle M. Henson, Robert A. Desharnais, Brian Dennis
Anatomy Of A Chaotic Attractor: Subtle Model-Predicted Patterns Revealed In Population Data, Aaron A. King, R. F. Costantino, J. M. Cushing, Shandelle M. Henson, Robert A. Desharnais, Brian Dennis
Faculty Publications
Mathematically, chaotic dynamics are not devoid of order but display episodes of near-cyclic temporal patterns. This is illustrated, in interesting ways, in the case of chaotic biological populations. Despite the individual nature of organisms and the noisy nature of biological time series, subtle temporal patterns have been detected. By using data drawn from chaotic insect populations, we show quantitatively that chaos manifests itself as a tapestry of identifiable and predictable patterns woven together by stochasticity. We show too that the mixture of patterns an experimentalist can expect to see depends on the scale of the system under study.
Modified Reconstructability Analysis For Many-Valued Functions And Relations, Anas Al-Rabadi, Martin Zwick
Modified Reconstructability Analysis For Many-Valued Functions And Relations, Anas Al-Rabadi, Martin Zwick
Systems Science Faculty Publications and Presentations
A novel many-valued decomposition within the framework of lossless Reconstructability Analysis is presented. In previous work, Modified Recontructability Analysis (MRA) was applied to Boolean functions, where it was shown that most Boolean functions not decomposable using conventional Reconstructability Analysis (CRA) are decomposable using MRA. Also, it was previously shown that whenever decomposition exists in both MRA and CRA, MRA yields simpler or equal complexity decompositions. In this paper, MRA is extended to many-valued logic functions, and logic structures that correspond to such decomposition are developed. It is shown that many-valued MRA can decompose many-valued functions when CRA fails to do …
Quasioptimality Of Some Spectral Mixed Methods, Jay Gopalakrishnan, Leszek Demkowicz
Quasioptimality Of Some Spectral Mixed Methods, Jay Gopalakrishnan, Leszek Demkowicz
Mathematics and Statistics Faculty Publications and Presentations
In this paper, we construct a sequence of projectors into certain polynomial spaces satisfying a commuting diagram property with norm bounds independent of the polynomial degree. Using the projectors, we obtain quasioptimality of some spectralmixed methods, including the Raviart–Thomas method and mixed formulations of Maxwell equations. We also prove some discrete Friedrichs type inequalities involving curl.
A Characterization Of Hybridized Mixed Methods For Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan
A Characterization Of Hybridized Mixed Methods For Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan
Mathematics and Statistics Faculty Publications and Presentations
In this paper, we give a new characterization of the approximate solution given by hybridized mixed methods for second order self-adjoint elliptic problems. We apply this characterization to obtain an explicit formula for the entries of the matrix equation for the Lagrange multiplier unknowns resulting from hybridization. We also obtain necessary and sufficient conditions under which the multipliers of the Raviart–Thomas and the Brezzi–Douglas–Marini methods of similar order are identical.
Analysis Of A Multigrid Algorithm For Time Harmonic Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak, Leszek Demkowicz
Analysis Of A Multigrid Algorithm For Time Harmonic Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak, Leszek Demkowicz
Mathematics and Statistics Faculty Publications and Presentations
This paper considers a multigrid algorithm suitable for efficient solution of indefinite linear systems arising from finite element discretization of time harmonic Maxwell equations. In particular, a "backslash" multigrid cycle is proven to converge at rates independent of refinement level if certain indefinite block smoothers are used. The method of analysis involves comparing the multigrid error reduction operator with that of a related positive definite multigrid operator. This idea has previously been used in multigrid analysis of indefinite second order elliptic problems. However, the Maxwell application involves a nonelliptic indefinite operator. With the help of a few new estimates, the …
Spontaneous Pulse Formation In Bistable Systems, George A. Andrews
Spontaneous Pulse Formation In Bistable Systems, George A. Andrews
Dissertations, Theses, and Masters Projects
This thesis considers localized spontaneous pulse formation in nonlinear, dissipative systems that are far from equilibrium and which exhibit bistability. It is shown that such pulses can form in systems that are dominated by the combined effects of: (1) a saturable amplifying or gain region, (2) a saturable absorbing or loss region, and (3) cavity effects. Analysis is based upon novel models for both an inertialess material in which the absorber responds instantaneously and inertial material in which there is temporal delay in the response. Additionally, we include the situation where the material does not fully relax between pulses, i.e. …
State-Based Reconstructability Analysis, Martin Zwick, Michael S. Johnson
State-Based Reconstructability Analysis, Martin Zwick, Michael S. Johnson
Systems Science Faculty Publications and Presentations
Reconstructability analysis (RA) is a method for detecting and analyzing the structure of multivariate categorical data. While Jones and his colleagues extended the original variable‐based formulation of RA to encompass models defined in terms of system states, their focus was the analysis and approximation of real‐valued functions. In this paper, we separate two ideas that Jones had merged together: the “g to k” transformation and state‐based modeling. We relate the idea of state‐based modeling to established variable‐based RA concepts and methods, including structure lattices, search strategies, metrics of model quality, and the statistical evaluation of model fit for analyses based …
Algebras With Inner Mb-Representation, Krzysztof Ciesielski
Algebras With Inner Mb-Representation, Krzysztof Ciesielski
Faculty & Staff Scholarship
We investigate algebras of sets, and pairs (A,I) consisting of an algebra A and an ideal I, which is a subset of A, that possess an inner MB-representation. We compare inner MB-representability of (A,I) with several properties of (A,I) considered by Baldwin. We show that A is inner MB-representable if and only if A =S(A \ H (A)), where S(.) is a Marczewski operation defined below and H consists of sets that are hereditarily in A. We study uniqueness issue of the ideal in that representation.
On The Edge Set Of Graphs Of Lattice Paths, Lara Pudwell, Steven Klee, Rick Gillman
On The Edge Set Of Graphs Of Lattice Paths, Lara Pudwell, Steven Klee, Rick Gillman
Lara K. Pudwell
No abstract provided.
On Cross Numbers Of Minimal Zero Sequences In Certain Cyclic Groups, Lara Pudwell, Scott Chapman, Paul Baginski, Kathryn Mcdonald
On Cross Numbers Of Minimal Zero Sequences In Certain Cyclic Groups, Lara Pudwell, Scott Chapman, Paul Baginski, Kathryn Mcdonald
Lara K. Pudwell
No abstract provided.
Hands-On Geometry, S. Sportsman, Shannon Driskell
Hands-On Geometry, S. Sportsman, Shannon Driskell
Shannon O.S. Driskell
Sportsman, S. (Co-PI), & Driskell, S. (Co-PI), Improving Teacher Quality State Grants Program, Ohio Board of Regents, $90,246
Fixed Point Theorems, Karen Saxe, Karine Moe
Biorthogonal Spline Type Wavelets, Tian-Xiao He
Biorthogonal Spline Type Wavelets, Tian-Xiao He
Tian-Xiao He
Let ¢ be an orthonormal scaling function with approximation degree p - 1, and let Bn be the B-spline of order n. Then, spline type scaling functions defined by fn = f * Bn (n = 1, 2, ... ) possess higher approximation order, p+n-1, and compact support. The corresponding biorthogonal wavelet functions are also constructed. This technique is extended to the case of biorthogonal scaling function system. As an application of the method supplied in this paper, one can easily construct a sequence of pairs of biorthogonal spline type scaling functions from one pair of biorthogonal scaling functions or …
Students’ Problem-Solving Strategies With Fractions, Shannon Driskell
Students’ Problem-Solving Strategies With Fractions, Shannon Driskell
Shannon O.S. Driskell
Driskell, S. (PI), University of Dayton Research Council Seed Grant, $4,000
Pseudospectral Iterated Method For Differential Equations With Delay Terms, Jodi Mead, Barbara Zubik-Kowal
Pseudospectral Iterated Method For Differential Equations With Delay Terms, Jodi Mead, Barbara Zubik-Kowal
Jodi Mead
New efficient numerical methods for hyperbolic and parabolic partial differential equations with delay terms are investigated. These equations model a development of cancer cells in human bodies. Our goal is to study numerical methods which can be applied in a parallel computing environment. We apply our new numerical method to the delay partial differential equations and analyse the error of the method. Numerical experiments confirm our theoretical results.
Almost Alternating Harmonic Series, Ramin Naimi, Curtis Fesit
Almost Alternating Harmonic Series, Ramin Naimi, Curtis Fesit
Ramin Naimi
No abstract provided.
Inverse Eigenproblems And Associated Approximation Problems For Matrices With Generalized Symmetry Or Skew Symmetry, William F. Trench
Inverse Eigenproblems And Associated Approximation Problems For Matrices With Generalized Symmetry Or Skew Symmetry, William F. Trench
William F. Trench
No abstract provided.
Hermitian, Hermitian R-Symmetric, And Hermitian R-Skew Symmetric Procrustes Problems, William F. Trench
Hermitian, Hermitian R-Symmetric, And Hermitian R-Skew Symmetric Procrustes Problems, William F. Trench
William F. Trench
No abstract provided.
Minimization Problems For (R,S)-Symmetric And (R,S)-Skew Symmetric Matrices, William F. Trench
Minimization Problems For (R,S)-Symmetric And (R,S)-Skew Symmetric Matrices, William F. Trench
William F. Trench
No abstract provided.
Simplification And Strengthening Of Weyl's Definition Of Asymptotic Equal Distribution Of Two Families Of Finite Sets, William F. Trench
Simplification And Strengthening Of Weyl's Definition Of Asymptotic Equal Distribution Of Two Families Of Finite Sets, William F. Trench
William F. Trench
No abstract provided.
An Elementary Note On Asymptotic Properties Of Toeplitz And Multilevel Toeplitz Matrices, William F. Trench
An Elementary Note On Asymptotic Properties Of Toeplitz And Multilevel Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.
On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He
On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He
Tian-Xiao He
By using Gould's annihilation coefficients, we obtain an explicit fundamental polynomials of Multivariate Abel-Gontscharoff Interpolation and its remainder expression.
Using Dynamic Information In The Supply Network, Jeffrey Barker
Using Dynamic Information In The Supply Network, Jeffrey Barker
Jeffrey Barker
No abstract provided.
Equilibrium Problems With Equilibrium Constraints Via Multiobjective Optimization, Boris S. Mordukhovich
Equilibrium Problems With Equilibrium Constraints Via Multiobjective Optimization, Boris S. Mordukhovich
Mathematics Research Reports
The paper concerns a new class of optimization-related problems called Equilibrium Problems with Equilibrium Constraints (EPECs). One may treat them as two level hierarchical problems, which involve equilibria at both lower and upper levels. Such problems naturally appear in various applications providing an equilibrium counterpart (at the upper level) of Mathematical Programs with Equilibrium Constraints (MPECs). We develop a unified approach to both EPECs and MPECs from the viewpoint of multiobjective optimization subject to equilibrium constraints. The problems of this type are intrinsically nonsmooth and require the use of generalized differentiation for their analysis and applications. This paper presents necessary …
Necessary Conditions In Nonsmooth Minimization Via Lower And Upper Subgradients, Boris S. Mordukhovich
Necessary Conditions In Nonsmooth Minimization Via Lower And Upper Subgradients, Boris S. Mordukhovich
Mathematics Research Reports
The paper concerns first-order necessary optimality conditions for problems of minimizing nonsmooth functions under various constraints in infinite-dimensional spaces. Based on advanced tools of variational analysis and generalized differential calculus, we derive general results of two independent types called lower subdifferential and upper subdifferential optimality conditions. The former ones involve basic/limiting subgradients of cost functions, while the latter conditions are expressed via Frechetjregular upper subgradients in fairly general settings. All the upper subdifferential and major lower subdifferential optimality conditions obtained in the paper are new even in finite dimensions. We give applications of general optimality conditions to mathematical programs with …
Optimal Control Of Delayed Differential-Algebraic Inclusions, Boris S. Mordukhovich, Lianwen Wang
Optimal Control Of Delayed Differential-Algebraic Inclusions, Boris S. Mordukhovich, Lianwen Wang
Mathematics Research Reports
This paper concerns constrained dynamic optimization problems governed by delayed differential-algebraic systems. Dynamic constraints in such systems, which are particularly important for engineering applications, are described by interconnected delay-differential inclusions and algebraic equations. We pursue a two-hold goal: to study variational stability of such control systems with respect to discrete approximations and to derive necessary optimality conditions for both delayed differential-algebraic systems and their finite-difference counterparts using modern tools of variational analysis and generalized differentiation. We are not familiar with any results in these directions for differential-algebraic inclusions even in the delay-free case. In the first part of the paper …