Mathematical Analysis Of The Problems Faced By The People With Disabilities (Pwds),
2012
University of New Mexico
Mathematical Analysis Of The Problems Faced By The People With Disabilities (Pwds), Florentin Smarandache, W.B. Vasantha Kandasamy, A. Praveen Prakash
Branch Mathematics and Statistics Faculty and Staff Publications
The authors in this book have analyzed the socio-economic and psychological problems faced by People with Disabilities (PWDs) and their families. The study was made by collecting data using both fuzzy linguistic questionnaire / by interviews in case they are not literates from 2,15,811 lakhs people. This data was collected using the five Non Government Organizations (NGOs) from northern Tamil Nadu. Now any reader would be interested to know whether the Tamils (natives of Tamil Nadu) had ever spoken about people with disability. Even before 2000 years tamils had heroic poetry Purananuru (28th poem) about the war fare methods. In …
The Geometry Of Homological Triangles,
2012
University of New Mexico
The Geometry Of Homological Triangles, Florentin Smarandache, Ion Patrascu
Branch Mathematics and Statistics Faculty and Staff Publications
This book is addressed to students, professors and researchers of geometry, who will find herein many interesting and original results. The originality of the book The Geometry of Homological Triangles consists in using the homology of triangles as a “filter” through which remarkable notions and theorems from the geometry of the triangle are unitarily passed. Our research is structured in seven chapters, the first four are dedicated to the homology of the triangles while the last ones to their applications. In the first chapter one proves the theorem of homological triangles (Desargues, 1636), one survey the remarkable pairs of homological …
Fuzzy Linguistic Topological Spaces,
2012
University of New Mexico
Fuzzy Linguistic Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Amal
Branch Mathematics and Statistics Faculty and Staff Publications
No abstract provided.
Cardinal Functions And Integral Functions,
2012
University of New Mexico
Cardinal Functions And Integral Functions, Florentin Smarandache, Mircea Selariu, Marian Nitu
Branch Mathematics and Statistics Faculty and Staff Publications
This paper presents the correspondences of the eccentric mathematics of cardinal and integral functions and centric mathematics, or ordinary mathematics. Centric functions will also be presented in the introductory section, because they are, although widely used in undulatory physics, little known. In centric mathematics, cardinal sine and cosine are dened as well as the integrals. Both circular and hyperbolic ones. In eccentric mathematics, all these central functions multiplies from one to innity, due to the innity of possible choices where to place a point. This point is called eccenter S(s;") which lies in the plane of unit circle UC(O;R = …
Wavelet Collocation Method And Multilevel Augmentation Method For Hammerstein Equations,
2012
Old Dominion University
Wavelet Collocation Method And Multilevel Augmentation Method For Hammerstein Equations, Hideaki Kaneko, Khomsan Neamprem, Boriboon Novaprateep
Mathematics & Statistics Faculty Publications
No abstract provided.
Rational Approximation On Compact Nowhere Dense Sets,
2012
University of Kentucky
Rational Approximation On Compact Nowhere Dense Sets, Christopher Mattingly
Theses and Dissertations--Mathematics
For a compact, nowhere dense set X in the complex plane, C, define Rp(X) as the closure of the rational functions with poles off X in Lp(X, dA). It is well known that for 1 ≤ p < 2, Rp(X) = Lp(X) . Although density may not be achieved for p > 2, there exists a set X so that Rp(X) = Lp(X) for p up to a given number greater than 2 but not after. Additionally, when p > 2 we shall establish that the support of the annihiliating and …
Analytic And Topological Combinatorics Of Partition Posets And Permutations,
2012
University of Kentucky
Analytic And Topological Combinatorics Of Partition Posets And Permutations, Jiyoon Jung
Theses and Dissertations--Mathematics
In this dissertation we first study partition posets and their topology. For each composition c we show that the order complex of the poset of pointed set partitions is a wedge of spheres of the same dimension with the multiplicity given by the number of permutations with descent composition c. Furthermore, the action of the symmetric group on the top homology is isomorphic to the Specht module of a border strip associated to the composition. We also study the filter of pointed set partitions generated by knapsack integer partitions. In the second half of this dissertation we study descent …
A Meshless Numerical Solution Of The Family Of Generalized Fifth-Order Korteweg-De Vries Equations,
2012
HITEC University
A Meshless Numerical Solution Of The Family Of Generalized Fifth-Order Korteweg-De Vries Equations, Syed Tauseef Mohyud-Din, Elham Negahdary, Muhammad Usman
Mathematics Faculty Publications
In this paper we present a numerical solution of a family of generalized fifth-order Korteweg-de Vries equations using a meshless method of lines. This method uses radial basis functions for spatial derivatives and Runge-Kutta method as a time integrator. This method exhibits high accuracy as seen from the comparison with the exact solutions.
Bounded Solutions Of Almost Linear Volterra Equations,
2012
University of Dayton
Bounded Solutions Of Almost Linear Volterra Equations, Muhammad Islam, Youssef Raffoul
Mathematics Faculty Publications
Fixed point theorem of Krasnosel’skii is used as the primary mathematical tool to study the boundedness of solutions of certain Volterra type equations. These equations are studied under a set of assumptions on the functions involved in the equations. The equations will be called almost linear when these assumptions hold.
Constrained Optimization Schemes For Geophysical Inversion Of Seismic Data,
2012
University of Texas at El Paso
Constrained Optimization Schemes For Geophysical Inversion Of Seismic Data, Uram Anibal Sosa Aguirre
Open Access Theses & Dissertations
Many experimental techniques in geophysics advance the understanding of Earth processes by estimating and interpreting Earth structure (e.g., velocity and/or density structure). These techniques use dierent types of geophysical data which can be collected and analyzed separately, sometimes resulting in inconsistent models of the Earth depending on data quality, methods and assumptions made. This dissertation presents two approaches for geophysical inversion of seismic data based on constrained optimization. In one approach we expand a one dimensional (1-D) joint inversion least-squares (LSQ) algorithm by introducing a constrained optimization methodology. Then we use the 1-D inversion results to produce 3-D Earth velocity …
Discrete Event Simulation Of Elevator Systems,
2012
Claremont McKenna College
Discrete Event Simulation Of Elevator Systems, Sasi Bharath Desai
CMC Senior Theses
The intent of this paper is to present the reader with a simple comparison of two systems of vertical transportation. Vertical transportation is a a relatively new field and is the subject of much interest in today's world. As buildings get taller and real estate becomes more expensive, the need to find a quick, efficient system with a small footprint becomes important. By performing a simulation and subjecting the two systems under study to similar traffic conditions, one can determine the effectiveness of one system relative to the other. Additionally, we look at the effects of changing various system attributes …
Integrable Models For Shallow Water With Energy Dependent Spectral Problems,
2012
Technological University Dublin
Integrable Models For Shallow Water With Energy Dependent Spectral Problems, Rossen Ivanov, Tony Lyons
Articles
We study the inverse problem for the so-called operators with energy depending potentials. In particular, we study spectral operators with quadratic dependence on the spectral parameter. The corresponding hierarchy of integrable equations includes the Kaup–Boussinesq equation. We formulate the inverse problem as a Riemann–Hilbert problem with a Z2 reduction group. The soliton solutions are explicitly obtained.
Wave Propagation And Dispersion In Microstructured Solids,
2012
Tallinn University of Technology
Wave Propagation And Dispersion In Microstructured Solids, Arkadi Berezovski, Juri Engelbrecht, Mihhail Berezovski
Publications
A series of numerical simulations is carried on in order to understand the accuracy of dispersive wave models for microstructured solids. The computations are performed by means of the finite-volume numerical scheme, which belongs to the class of wave-propagation algorithms. The dispersion effects are analyzed in materials with different internal structures: microstructure described by micromorphic theory, regular laminates, laminates with substructures, etc., for a large range of material parameters and wavelengths.
Hypercube Diagrams For Knots, Links, And Knotted Tori,
2012
Louisiana State University and Agricultural and Mechanical College
Hypercube Diagrams For Knots, Links, And Knotted Tori, Ben Mccarty
LSU Doctoral Dissertations
For a knot K the cube number is a knot invariant defined to be the smallest n for which there is a cube diagram of size n for K. Examples of knots for which the cube number detects chirality are presented. There is also a Legendrian version of this invariant called the Legendrian cube number. We will show that the Legendrian cube number distinguishes the Legendrian left hand torus knots with maximal Thurston-Bennequin number and maximal rotation number from the Legendrian left hand torus knots with maximal Thurston-Bennequin number and minimal rotation number. Finally, there is a generalization of cube …
Graham's Variety And Perverse Sheaves On The Nilpotent Cone,
2012
Louisiana State University and Agricultural and Mechanical College
Graham's Variety And Perverse Sheaves On The Nilpotent Cone, Amber Russell
LSU Doctoral Dissertations
In recent work, Graham has defined a variety which maps to the nilpotent cone, and which shares many properties with the Springer resolution. However, Graham's map is not an isomorphism over the principal orbit, and for type A in particular, its fibers have a nice relationship with the fundamental groups of the nilpotent orbits. The goal of this dissertation is to determine which simple perverse sheaves appear when the Decomposition Theorem for perverse sheaves is applied in Graham's setting for type A, and to begin to answer this question in the other types as well. In Chapter 1, we give …
A Zeta Function For Juggling Sequences,
2012
FHDW Hannover
A Zeta Function For Juggling Sequences, Carsten Elsner, Dominic Klyve, Erik R. Tou
Mathematics Faculty Scholarship
We give a new generalization of the Riemann zeta function to the set of b-ball juggling sequences. We develop several properties of this zeta function, noting among other things that it is rational in b−s. We provide a meromorphic continuation of the juggling zeta function to the entire complex plane (except for a countable set of singularities) and completely enumerate its zeroes. For most values of b, we are able to show that the zeroes of the b-ball zeta function are located within a critical strip, which is closely analogous to that of the Riemann zeta function.
Stability Indices For Constrained Self-Adjoint Operators,
2012
Calvin University
Stability Indices For Constrained Self-Adjoint Operators, Todd Kapitula, Keith Promislow
University Faculty Publications and Creative Works
A wide class of problems in the study of the spectral and orbital stability of dispersive waves in Hamiltonian systems can be reduced to understanding the so-called "energy spectrum", that is, the spectrum of the second variation of the Hamiltonian evaluated at the wave shape, which is constrained to act on a closed subspace of the underlying Hilbert space. We present a substantially simplified proof of the negative eigenvalue count for such constrained, self-adjoint operators, and extend the result to include an analysis of the location of the point spectra of the constrained operator relative to that of the unconstrained …
Ledzewicz Applies Math To Health Sciences,
2012
CUNY Bernard M Baruch College
Ledzewicz Applies Math To Health Sciences, Aldemaro Romero Jr.
Publications and Research
No abstract provided.
Dual Numbers,
2012
University of New Mexico
Dual Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
Dual numbers was first introduced by W.K. Clifford in 1873. This nice concept has lots of applications; to screw systems, modeling plane joint, iterative methods for displacement analysis of spatial mechanisms, inertial force analysis of spatial mechanisms etc. In this book the authors study dual numbers in a special way. The main aim of this book is to find rich sources of new elements g such that g2 = 0. The main sources of such new elements are from Zn, n a composite number. We give algebraic structures on them. This book is organized into six chapters. The final chapter …
Iteration Digraphs,
2012
The College of Wooster
Iteration Digraphs, Hannah Roberts
Senior Independent Study Theses
No abstract provided.
