Analysis Commons^™

Analytical Solution Of Time-Fractional Advection Dispersion Equation, Tariq O. Salim, Ahmad El-Kahlout

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we get exact solution of the time-fractional advection-dispersion equation with reaction term, where the Caputo fractional derivative is considered of order α ϵ (0,2]. The solution is achieved by using a function transform, Fourier and Laplace transforms to get the formulas of the fundamental solution, which are expressed explicitly in terms of Fox’s H-function by making use of the relationship between Fourier and Mellin transforms. As special cases the exact solutions of time-fractional diffusion and wave equations are also obtained, and the solutions of the integer order equations are mentioned.

A Framework For Consistency Based Feature Selection, Pengpeng Lin

Masters Theses & Specialist Projects

Feature selection is an effective technique in reducing the dimensionality of features in many applications where datasets involve hundreds or thousands of features. The objective of feature selection is to find an optimal subset of relevant features such that the feature size is reduced and understandability of a learning process is improved without significantly decreasing the overall accuracy and applicability. This thesis focuses on the consistency measure where a feature subset is consistent if there exists a set of instances of length more than two with the same feature values and the same class labels. This thesis introduces a new …

Combinatorial And Commutative Manipulations In Feynman's Operational Calculi For Noncommuting Operators, Duane Einfeld

Department of Mathematics: Dissertations, Theses, and Student Research

In Feynman's Operational Calculi, a function of indeterminates in a commutative space is mapped to an operator expression in a space of (generally) noncommuting operators; the image of the map is determined by a choice of measures associated with the operators, by which the operators are 'disentangled.' Results in this area of research include formulas for disentangling in particular cases of operators and measures. We consider two ways in which this process might be facilitated. First, we develop a set of notations and operations for handling the combinatorial arguments that tend to arise. Second, we develop an intermediate space for …

Capital Expansion And Organizational Growth: A Cost-Effective Analysis For Huntington Family Centers, Sean P. Burke

MPA Capstone Projects 2006 - 2015

Huntington Family Centers Inc., is a nonprofit social service agency located in the near-Westside of the City of Syracuse, N.Y. The agency currently employs 75 people and offers 25 programs, ranging in focus from preschool to services for senior citizens. It has developed a business plan with the goal of increasing program services by 35% over the next two years. However, as new programs are considered, it will be forced to rent space due to the lack of functional space at its primary are considered, it will be forced to rent space due to the lack of functional space at …

Finding Cost-Effective Methods For Language Access Services Administration At New York City Children's Services, Kerry Cook

MPA Capstone Projects 2006 - 2015

New York City Children's Services (CS) serves an increasing populations of persons with limited English language proficiency (LEP). Federal and local laws mandate that these persons are provided with meaningful language access services. This analysis attempts to find the most cost-effective strategy for CS' Division of Child Protection (DCP) to provide interpretation services to LEP persons involved in DCP cases of child abuse and neglect. The study first identifies alternative strategies for providing these services, and then qualifies the cost of the current methods and alternative methods. A framework of transaction cost economic theory guides the cost analysis process. Next, …

On The Distributions Of The Sup And Inf Of The Classical Risk Process With Exponential Claim, Jorge A León, José Villa

Communications on Stochastic Analysis

No abstract provided.

Optimal Consumption And Portfolio For An Insider In A Market With Jumps, Delphine David, Yeliz Yolcu Okur

Communications on Stochastic Analysis

No abstract provided.

Pac Commutators And The R-Transform, Aurel I Stan

Communications on Stochastic Analysis

No abstract provided.

A Stochastic Process Associated With The Weighted White Noise Differentiation, Issei Kitagawa

Communications on Stochastic Analysis

No abstract provided.

Stochastic Heat Equation With Infinite Dimensional Fractional Noise: L_{2}-Theory, Raluca Balan

Communications on Stochastic Analysis

No abstract provided.

Universal Malliavin Calculus In Fock And Lévy-Itô Spaces, David Applebaum

Communications on Stochastic Analysis

No abstract provided.

Convergence To Weighted Fractional Brownian Sheets, Johanna Garzón

Communications on Stochastic Analysis

No abstract provided.

An Interacting Fock Space Characterization Of Probability Measures, Luigi Accardi, Hui-Hsiung Kuo, Aurel I Stan

Communications on Stochastic Analysis

No abstract provided.

A Class Of Anticipating Linear Stochastic Differential Equations, Julius Esunge

Communications on Stochastic Analysis

No abstract provided.

Sample Properties Of Random Fields. I. Separability And Measurability, Jürgen Potthoff

Communications on Stochastic Analysis

No abstract provided.

Banach Algebras And Rational Homotopy Theory, Gregory Lupton, N. Christopher Phillips, Claude Schochet, Samuel B. Smith

Mathematics Faculty Research Publications

Let A be a unital commutative Banach algebra with maximal ideal space Max(A). We determine the rational H-type of GL_n(A), the group of invertible n x n matrices with coefficients in A, in terms of the rational cohomology of Max(A). We also address an old problem of J. L. Taylor. Let Lc_n(A) denote the space of "last columns" of GL_n(A). We construct a natural isomorphism

Ȟ^s(Max(A);ℚ) ≅ π_2n-1-s(Lc_n(A)) ⊗ ℚ …

The Norm And Modulus Of A Foguel Operator, Stephan Ramon Garcia

Pomona Faculty Publications and Research

We develop a method for calculating the norm and the spectrum of the modulus of a Foguel operator. In many cases, the norm can be computed exactly. In others, sharp upper bounds are obtained. In particular, we observe several connections between Foguel operators and the Golden Ratio.

Complex Symmetric Partial Isometries, Stephan Ramon Garcia, Warren R. Wogen

Pomona Faculty Publications and Research

An operator $T \in B(\h)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:\h\to\h$ so that $T = CT^*C$. We provide a concrete description of all complex symmetric partial isometries. In particular, we prove that any partial isometry on a Hilbert space of dimension $\leq 4$ is complex symmetric.

Truncated Toeplitz Operators: Spatial Isomorphism, Unitary Equivalence, And Similarity, Joseph A. Cima, Stephan Ramon Garcia, William T. Ross, Warren R. Wogen

Pomona Faculty Publications and Research

A truncated Toeplitz operator A φ : K Θ → K Θ is the compression of a Toeplitz operator T φ : H 2 → H 2 to a model space K Θ ≔ H 2 ⊖ Θ H 2 . For Θ inner, let T Θ denote the set of all bounded truncated Toeplitz operators on K Θ . Our main result is a necessary and sufficient condition on inner functions Θ 1 and Θ 2 which guarantees that T Θ 1 and T Θ 2 are spatially isomorphic (i.e., U T Θ 1 = T Θ 2 U …

Polynomial Extension Operators. Part Ii, Leszek Demkowicz, Jay Gopalakrishnan, Joachim Schöberl

Mathematics and Statistics Faculty Publications and Presentations

Consider the tangential trace of a vector polynomial on the surface of a tetrahedron. We construct an extension operator that extends such a trace function into a polynomial on the tetrahedron. This operator can be continuously extended to the trace space of H(curl ). Furthermore, it satisfies a commutativity property with an extension operator we constructed in Part I of this series. Such extensions are a fundamental ingredient of high order finite element analysis.

Superbimatrices And Their Generalizations, Florentin Smarandache, W.B Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

The systematic study of supermatrices and super linear algebra has been carried out in 2008. These new algebraic structures find their applications in fuzzy models, Leontief economic models and data-storage in computers. In this book the authors introduce the new notion of superbimatrices and generalize it to super trimatrices and super n-matrices. Study of these structures is not only interesting and innovative but is also best suited for the computerized world. The main difference between simple bimatrices and super bimatrices is that in case of simple bimatrices we have only one type of product defined on them, whereas in case …

Groups As Graphs, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

Through this book, for the first time we represent every finite group in the form of a graph. The authors choose to call these graphs as identity graph, since the main role in obtaining the graph is played by the identity element of the group. This study is innovative because through this description one can immediately look at the graph and say the number of elements in the group G which are self-inversed. Also study of different properties like the subgroups of a group, normal subgroups of a group, p-sylow subgroups of a group and conjugate elements of a group …