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Articles 24961 - 24990 of 27391
Full-Text Articles in Physical Sciences and Mathematics
Remarks On Tensor Operators, Daniel Flath
The Fokker-Planck And Related Equations In Theoretical Population Dynamics, George Derise
The Fokker-Planck And Related Equations In Theoretical Population Dynamics, George Derise
Mathematics & Statistics Theses & Dissertations
The population growth of a single species is modeled by a differential equation with initial condition(s) so that the number of organisms in the population is derived using some mechanism of growth, i.e. a growth rate function. However, such deterministic models are often highly unrealistic in population dynamics because population growth is basically a random event. There are a large number of chance factors influencing growth that might not be taken into account by deterministic models. The effect of other species (for example, in the chance meeting of a predator), population fluctuations due to weather changes that would alter food …
A Mathematical Model Of The Dynamics Of An Optically Pumped Codoped Solid State Laser System, Thomas G. Wangler
A Mathematical Model Of The Dynamics Of An Optically Pumped Codoped Solid State Laser System, Thomas G. Wangler
Mathematics & Statistics Theses & Dissertations
This is a study of a mathematical model for the dynamics of an optically pumped codoped solid state laser system. The model comprises five first order, nonlinear, coupled, ordinary differential equations which describe the temporal evolution of the dopant electron populations in the laser crystal as well as the photon density in the laser cavity. The analysis of the model is conducted in three parts.
First, a detailed explanation of the modeling process is given and the full set of rate equations is obtained. The model is then simplified and certain qualitative properties of the solution are obtained.
In the …
An Artificial Neural Approach To The Decomposition Problem, Chandrashekar L. Masti
An Artificial Neural Approach To The Decomposition Problem, Chandrashekar L. Masti
Electrical & Computer Engineering Theses & Dissertations
The goal of this thesis is to develop an artificial neural approach toward addressing the intractability involved with the decomposition problem. The search for the lattice of substitution property (s. p.) partitions essential to decompositions is cast into the framework of constraint satisfaction. An artificial neural network is developed to provide solutions by performing optimization of a mathematically derived objective function over the problem space. The issue of transitivity is verified to belong to a class of problems beyond the scope of solvability for conventional quadratic-order constraint satisfaction neural networks. A theorem is stated and proved establishing that third-order correlations …
Oscillations In Lotka-Volterra Systems Of Chemical Reactions, Roger H. Hering
Oscillations In Lotka-Volterra Systems Of Chemical Reactions, Roger H. Hering
Mathematics and Statistics Faculty Research & Creative Works
For a chemical reaction system modeled by x =k1Ax -k2x2 -k3xy +k4y2, y =k3xy -k4y2 -k5y +k6B, it is shown that for each positive choice of parameters k1A, B there exists a unique stationary state which is globally asymptotically stable in the positive quadrant. A criterion for the non-existence of periodic solutions is given for the generalized Lotka-Volterra system:x = f(x)h(x, y), y. © 1990 J.C. Baltzer AG, Scientific Publishing Company.
Lifted P-Adic Homology With Compact Supports Of The Weierstrass Family And Its Zeta Endomorphism, Goro Kato
Lifted P-Adic Homology With Compact Supports Of The Weierstrass Family And Its Zeta Endomorphism, Goro Kato
Mathematics
The relations among the generators for the lifted p-adic homology with compact supports of the various subfamilies of the Weierstrass family in characteristic p > 0 (p ≠ 2, 3) are explicitly given in Section 2. Then, the universal coefficient spectral sequence and the zeta endomorphism in Section 3 enable one to compute explicitly the lifted p-adic homology with compact supports of all fibres, including all the elliptic curves and all their singular degenerations in the family.
Taxonomies Of Model-Theoretically Defined Topological Properties, Paul Bankston
Taxonomies Of Model-Theoretically Defined Topological Properties, Paul Bankston
Mathematics, Statistics and Computer Science Faculty Research and Publications
A topological classification scheme consists of two ingredients: (1) an abstract class K of topological spaces; and (2) a "taxonomy", i.e. a list of first order sentences, together with a way of assigning an abstract class of spaces to each sentence of the list so that logically equivalent sentences are assigned the same class.K, is then endowed with an equivalence relation, two spaces belonging to the same equivalence class if and only if they lie in the same classes prescribed by the taxonomy. A space X in K is characterized within the classification scheme if whenever Y E …
On The Error In Quasi-Quantum Mechanical Calculations, Donald Greenspan
On The Error In Quasi-Quantum Mechanical Calculations, Donald Greenspan
Mathematics Technical Papers
A numerical simulation of the vibration of a ground state H2 molecule is made from a quasi-quantum mechanical point of view, that is, energy has been determined by quantum mechanics and trajectories determined by Newtonian mechanics. The numerical method used is implicit and conserves the energy exactly at each time step. A variety of CRAY X-MP/SE14 calculations are described and discussed. Comparisons are made with correct oscillation and diameter values.
A Particle Model Of Ground State H2, Donald Greenspan
A Particle Model Of Ground State H2, Donald Greenspan
Mathematics Technical Papers
A particle model is developed for the ground state H2 molecule. Interparticle forces are formulated which are noncoulombic, but nearly coulombic. The vibration is simulated by a numerical method which conserves the molecule's energy exactly. Numerical examples are described and discussed.
Eigenvalue Problems Of Ginzburg–Landau Operator In Bounded Domains, Kening Lu, Xing-Bin Pan
Eigenvalue Problems Of Ginzburg–Landau Operator In Bounded Domains, Kening Lu, Xing-Bin Pan
Faculty Publications
In this paper we study the eigenvalue problems for the Ginzburg–Landau operator with a large parameter in bounded domains in [openface R]2 under gauge invariant boundary conditions. The estimates for the eigenvalues are obtained and the asymptotic behavior of the associated eigenfunctions is discussed. These results play a key role in estimating the critical magnetic field in the mathematical theory of superconductivity.
Some Contributions To Generalized Inverse And The Linear Complementarity Problem., N. Eagambaram Dr.
Some Contributions To Generalized Inverse And The Linear Complementarity Problem., N. Eagambaram Dr.
Doctoral Theses
A generalized inverse (g-inverse) of a matrix A is a solution x to the matrix equationA XA = A(1.1.1)A g-inverse of A can be defined alternatively as a matrix x such that x = Xb is a solution to the linear equation Ax -b for any b that makes - b consistent. There is a vast literature on g-inverse. For a number of results on g-inverses and their applications one may refer to the well known books in the literature by Rao and Mitra (1971); and by Ben Israel and Greville (1974).Another inverse that lies hidden in the definition of …
Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
No abstract provided.
Editorial, Issue 5, 1990, Alvin White
Editorial, Issue 5, 1990, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.
The Humanistic Aspects Of Mathematics And Their Importance, Philip J. Davis
The Humanistic Aspects Of Mathematics And Their Importance, Philip J. Davis
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics — A Significant Force In Our Culture, Harald M. Ness
Mathematics — A Significant Force In Our Culture, Harald M. Ness
Humanistic Mathematics Network Journal
No abstract provided.
Heuristic Thinking And Mathematics, J. F. Lucas
Heuristic Thinking And Mathematics, J. F. Lucas
Humanistic Mathematics Network Journal
No abstract provided.
Advanced Displacement Exam, Robert Messer
Advanced Displacement Exam, Robert Messer
Humanistic Mathematics Network Journal
No abstract provided.
Real Needs Of School Children, Hassler Whitney
Real Needs Of School Children, Hassler Whitney
Humanistic Mathematics Network Journal
No abstract provided.
Preparing Teachers To Teach Mathematics Within A Humanistic Perspective, Beatriz S. D'Ambrosio
Preparing Teachers To Teach Mathematics Within A Humanistic Perspective, Beatriz S. D'Ambrosio
Humanistic Mathematics Network Journal
No abstract provided.
Teaching Global Issues Through Mathematics, Richard H. Schwartz
Teaching Global Issues Through Mathematics, Richard H. Schwartz
Humanistic Mathematics Network Journal
No abstract provided.
What Has Mathematics Got To Do With Values?, Stephen Lerman
What Has Mathematics Got To Do With Values?, Stephen Lerman
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics And Ethics, Reuben Hersh
Mathematics And Ethics, Reuben Hersh
Humanistic Mathematics Network Journal
No abstract provided.
A Social View Of Mathematics: Iimplications For Mathematics Education, Stephen Lerman
A Social View Of Mathematics: Iimplications For Mathematics Education, Stephen Lerman
Humanistic Mathematics Network Journal
No abstract provided.
Discriminatory Von Neumann-Morgenstern Solutions, J. G. C. Heijmans
Discriminatory Von Neumann-Morgenstern Solutions, J. G. C. Heijmans
Mathematics Technical Papers
The von Neumann-Morgenstern solution (vN-M solution) or stable set is arguably the most dynamic and flexible solution concept for cooperative games with side-payments. Perhaps the most striking phenomenon is that vN-M solutions often suggest intricate coalition formation processes and corresponding payoffs. Why this occurs is not well understood. On the other hand, vN-M solutions are difficult to find. This paper deals with the class of discriminatory vN-M solutions and presents results that give insights in the corresponding coalition formation process. A computationally effective procedure is presented to answer the decision problem whether or not a proposed set of imputations to …
Norms Of Positive Operators On Lp-Spaces, Ralph Howard, Anton R. Schep
Norms Of Positive Operators On Lp-Spaces, Ralph Howard, Anton R. Schep
Faculty Publications
No abstract provided.
A Root Finding Algorithm For Parallel Architecture Machines, Stuti Moitra
A Root Finding Algorithm For Parallel Architecture Machines, Stuti Moitra
Computer Science Theses & Dissertations
In this thesis a parallel algorithm for determining the zeros of any given analytic function is described. Parallelism is achieved by modifying the traditional bisection algorithm for architecture machines.
Given any user supplied function f(X), continuous on the interval Ao ≤ x ≤ B0, and the tolerance of accuracy an algorithm of determining up to ten roots, with error of approximation less than or equal to tolerance, on parallel systems like Distributed Array Processor (OAP) and N-cube is considered.
A variation of the bisection method has been adapted for this purpose. At each level of iteration a …
Bimodules Over Cartan Subalgebras, Richard Mercer
Bimodules Over Cartan Subalgebras, Richard Mercer
Mathematics and Statistics Faculty Publications
Given a Cartan subalgebra A of a non Neumann algebra M, the techniques of Feldman and Moore are used to analyze the partial isometries v in M such that v* Av is contained in A. Orthonormal bases for M consisting of such partial isometries are discussed, and convergence of the resulting generalized fourier series is shown to take place in the Bures A-topology. The Bures A-topology is shown to be equivalent to the strong topology on the unit ball of M. These ideas are applied to A-bimodules and to give a simplified and intuitive proof of the Spectral Theorem …
On The Equivalence Of The Operator Equations Xa + Bx = C And X - P(-B)Xp(A)(-1) = W In A Hilbert-Space, P A Polynomial, Tapas Mazumdar, David Miller
On The Equivalence Of The Operator Equations Xa + Bx = C And X - P(-B)Xp(A)(-1) = W In A Hilbert-Space, P A Polynomial, Tapas Mazumdar, David Miller
Mathematics and Statistics Faculty Publications
We consider the solution of (*) XA+BX = C for bounded operators A,B,C and X on a Hilbert space, A normal. We establish the existence of a polynomial p and a bounded operator W with the property that the unique solution X of (*) also solves X − p(−B)Xp(A)−1 = W uniquely. A known iterative algorithm can be applied to the latter equation to solve (*).
Boundary Value Problems In Elasticity And Thermoelasticity, Stuart Davidson
Boundary Value Problems In Elasticity And Thermoelasticity, Stuart Davidson
Mathematics & Statistics Theses & Dissertations
In this dissertation the author solves a series of mixed boundary value problems arising from crack problems in elasticity and thermoelasticity. Using integral transform techniques and separation of variables appropriately, it is shown that the solutions can be found by solving a corresponding set of triple or dual integral equations in some instances, while in others the solutions of triple or dual series relations are required. These in turn reduce to various singular integral equations which are solved in closed form, in two cases, or by numerical methods. The stress intensity factors at the crack tips, the physical parameters of …
A Scale Of Linear Spaces Related To The Lp Scale, S J. Dilworth
A Scale Of Linear Spaces Related To The Lp Scale, S J. Dilworth
Faculty Publications
No abstract provided.