Krylov-Veretennikov Formula For Functionals From The Stopped Wiener Process,
2015
Louisiana State University
Krylov-Veretennikov Formula For Functionals From The Stopped Wiener Process, Georgii V Riabov
Communications on Stochastic Analysis
No abstract provided.
Doob's Decomposition Theorem For Near-Submartingales,
2015
Louisiana State University
Doob's Decomposition Theorem For Near-Submartingales, Hui-Hsiung Kuo, Kimiaki Saitô
Communications on Stochastic Analysis
No abstract provided.
Maximal Class P-Groups With Large Character Degree Gaps,
2015
Marquette University
Maximal Class P-Groups With Large Character Degree Gaps, Michael Slattery
Mathematics, Statistics and Computer Science Faculty Research and Publications
In Mann (More on normally monomial p-groups, 2015), he proves some bounds on the size of gaps between character degrees of maximal class p-groups. In this note we construct a family of examples that shows that one of these bounds is sharp.
Analysis Of Water Quality In New Jersey,
2015
Montclair State University
Analysis Of Water Quality In New Jersey, Kaitlyn Scrudato
Theses, Dissertations and Culminating Projects
Numerous diseases can occur when swimming or fishing in contaminated water. It is important that the quality of water is being monitored prior to recreational activities. To model the quality of the water at any given time with available predictors, data from bodies of water across New Jersey from 1999 to 2013 was collected from the database STORET. The water quality parameters studied were Escherichia coli (E. coli) and enterococcus with the predictors as Dissolved oxygen (DO), pH, Salinity, Temperature, Total Dissolved Solids (TDS) and Total Suspended Solids (TSS). The data was broken down by habitat type. The habitat types …
Extended Lindley Poisson Distribution,
2015
Indiana University of Pennsylvania
Extended Lindley Poisson Distribution, Mavis Pararai, Gayan Warahena-Liyanage, Broderick O. Oluyede
Mathematical Sciences: Faculty Publications
The Extended Lindley Poisson (ELP) distribution which is an extension of the extended Lindley distribution [2] is introduced and its properties are explored. This new distribution represents a more flexible model for the lifetime data. Some statistical properties of the proposed distribution including the shapes of the density, hazard rate functions, moments, Bonferroni and Lorenz curves are explored. Entropy measures and the distribution of the order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters and a simulation study is conducted to investigate the performance of the maximum likelihood estimates. Finally, we present applications …
Generalized Cokähler Geometry And An Application To Generalized Kähler Structures,
2015
Swarthmore College
Generalized Cokähler Geometry And An Application To Generalized Kähler Structures, Ralph R. Gomez, Janet Talvacchia
Mathematics & Statistics Faculty Works
In this paper, we propose a generalization of classical coKähler geometry from the point of view of generalized contact metric geometry. This allows us to generalize a theorem of Capursi (1984), Goldberg (1968) and show that the product M1×M2M1×M2 of generalized contact metric manifolds (Mi,Φi,E±,i,Gi)(Mi,Φi,E±,i,Gi), i=1,2i=1,2, where M1×M2M1×M2 is endowed with the product (twisted) generalized complex structure induced from Φ1Φ1 and Φ2Φ2, is (twisted) generalized Kähler if and only if View the MathML source(Mi,Φi,E±,i,Gi),i=1,2 are (twisted) generalized coKähler structures. As an application of our theorem we construct new examples of twisted generalized Kähler structures on manifolds that do not admit …
Low-Rank Network Decomposition Reveals Structural Characteristics Of Small-World Networks,
2015
Swarthmore College
Low-Rank Network Decomposition Reveals Structural Characteristics Of Small-World Networks, Victor J. Barranca, D. Zhou, D. Cai
Mathematics & Statistics Faculty Works
Small-world networks occur naturally throughout biological, technological, and social systems. With their prevalence, it is particularly important to prudently identify small-world networks and further characterize their unique connection structure with respect to network function. In this work we develop a formalism for classifying networks and identifying small-world structure using a decomposition of network connectivity matrices into low-rank and sparse components, corresponding to connections within clusters of highly connected nodes and sparse interconnections between clusters, respectively. We show that the network decomposition is independent of node indexing and define associated bounded measures of connectivity structure, which provide insight into the clustering …
Non-Commutative Holomorphic Functions On Operator Domains,
2015
Washington University in St Louis
Non-Commutative Holomorphic Functions On Operator Domains, Jim Agler, John E. Mccarthy
Mathematics Faculty Research
We characterize functions of d-tuples of bounded operators on a Hilbert space that are uniformly approximable by free polynomials on balanced open sets.
Integrability And Regularity Of Rational Functions,
2015
Washington University in St. Louis
Integrability And Regularity Of Rational Functions, Greg Knese
Mathematics Faculty Research
Motivated by recent work in the mathematics and engineering literature, we study integrability and non-tangential regularity on the two-torus for rational functions that are holomorphic on the bidisk. One way to study such rational functions is to fix the denominator and look at the ideal of polynomials in the numerator such that the rational function is square integrable. A concrete list of generators is given for this ideal as well as a precise count of the dimension of the subspace of numerators with a specified bound on bidegree. The dimension count is accomplished by constructing a natural pair of commuting …
Pick Interpolation For Free Holomorphic Functions,
2015
Washington University in St Louis
Pick Interpolation For Free Holomorphic Functions, Jim Agler, John E. Mccarthy
Mathematics Faculty Research
We give necessary and sufficient conditions to solve an interpolation problem for free holomorphic functions bounded in norm on a free polynomial polyhedron. As an application, we prove that every bounded holomorphic function on a polynomial polyhedron extends to a bounded free function.
Numerical Solution Of Linear Fredholm Integro-Differential Equations By Non-Standard Finite Difference Method,
2015
University of Kurdistan Hewler
Numerical Solution Of Linear Fredholm Integro-Differential Equations By Non-Standard Finite Difference Method, Pramod K. Pandey
Applications and Applied Mathematics: An International Journal (AAM)
In this article we consider a non-standard finite difference method for numerical solution of linear Fredholm integro-differential equations. The non-standard finite difference method and the repeated / composite trapezoidal quadrature method are used to transform the Fredholm integro-differential equation into a system of non-linear algebraic equations. The numerical experiments on some linear model problems show the simplicity and efficiency of the proposed method. It is observed from the numerical experiments that our method is convergent and second order accurate.
Group Decision Making Using Comparative Linguistic Expression Based On Hesitant Intuitionistic Fuzzy Sets,
2015
Lahore School of Economics
Group Decision Making Using Comparative Linguistic Expression Based On Hesitant Intuitionistic Fuzzy Sets, Ismat Beg, Tabasam Rashid
Applications and Applied Mathematics: An International Journal (AAM)
We introduce a method for aggregation of experts’ opinions given in the form of comparative linguistic expression. An algorithmic form of technique for order preference is proposed for group decision making. A simple example is given by using this method for the selection of the best alternative as well as ranking the alternatives from the best to the worst.
On The Growth Of Solutions Of The Generalized Axially Symmetric, Reduced Wave Equation In (N + 1) Variables,
2015
Al-Baha University
On The Growth Of Solutions Of The Generalized Axially Symmetric, Reduced Wave Equation In (N + 1) Variables, Devendra Kumar
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we have investigated the growth properties of solutions of the generalized axially symmetric, reduced wave equation in (n + 1) variables. Results analogus to those for order and type found in the theory of entire functions of several complex variables, of solutions, in terms of their expansion coefficients have been obtained. Our study is essential to a detailed understanding of the scattering of waves by central potentials and may be applied for generalized (n + 2)dimensional problems of potential scattering in quantum mechanics.
The Fuzzy Over-Relaxed Proximal Point Iterative Scheme For Generalized Variational Inclusion With Fuzzy Mappings,
2015
Aligarh Muslim University
The Fuzzy Over-Relaxed Proximal Point Iterative Scheme For Generalized Variational Inclusion With Fuzzy Mappings, Rais Ahmad, Mijanur Rahaman, Haider A. Rizvi
Applications and Applied Mathematics: An International Journal (AAM)
This paper deals with the introduction of a fuzzy over-relaxed proximal point iterative scheme based on H(-, -)-cocoercivity framework for solving a generalized variational inclusion problem with fuzzy mappings. The resolvent operator technique is used to approximate the solution of generalized variational inclusion problem with fuzzy mappings and convergence of the iterative sequences generated by the iterative scheme is discussed. Our results can be treated as refinement of many previously-known results.
In Honor And Memory Of Professor Lajos Takács,
2015
Prairie View A&M University
In Honor And Memory Of Professor Lajos Takács, Aliakbar M. Haghighi, Sri G. Mohanty
Applications and Applied Mathematics: An International Journal (AAM)
This issue of AAM is dedicated to honoring and remembering Professor Lajos Takács. While wrapping up the manuscript of my book (co-authored by Dr. Dimitar Mishev): Delayed and Network Queues, I went back to celebrate his 1962 book, Introduction to the Theory of Queues, where he gives an example illustrating a waiting time paradox, where the waiting time of a passenger waiting for a bus at a bus stop is infinite, while, in reality, he will wait a finite unit of time before a bus arrive. I sent Professor Takács an e-mail on December 4, 2015, inquiring if he had …
The Shifted Jacobi Polynomial Integral Operational Matrix For Solving Riccati Differential Equation Of Fractional Order,
2015
University of Mazandaran
The Shifted Jacobi Polynomial Integral Operational Matrix For Solving Riccati Differential Equation Of Fractional Order, A. Neamaty, B. Agheli, R. Darzi
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we have applied Jacobi polynomial to solve Riccati differential equation of fractional order. To do so, we have presented a general formula for the Jacobi operational matrix of fractional integral operator. Using the Tau method, the solution of this problem reduces to the solution of a system of algebraic equations. The numerical results for the examples presented in this paper demonstrate the efficiency of the present method.
Local Fractional Variational Iteration Method For Solving Nonlinear Partial Differential Equations Within Local Fractional Operators,
2015
University of Mazandaran
Local Fractional Variational Iteration Method For Solving Nonlinear Partial Differential Equations Within Local Fractional Operators, Hossein Jafari, Hassan K. Jassim
Applications and Applied Mathematics: An International Journal (AAM)
In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators. To illustrate the ability and reliability of the method, some examples are illustrated. A comparison between local fractional variational iteration method with the other numerical methods is given, revealing that the proposed method is capable of solving effectively a large number of nonlinear differential equations with high accuracy. In addition, we show that local fractional variational iteration method is able to solve a large class of nonlinear problems involving local fractional operators effectively, more easily and accurately, and …
Independent Monopoly Size In Graphs,
2015
University of Mysore
Independent Monopoly Size In Graphs, Ahmed M. Naji, N. D. Soner
Applications and Applied Mathematics: An International Journal (AAM)
In a graph G = (V;E), a set D ⊆V (G) is said to be a monopoly set of G if every vertex v ∈V-D has at least d(v)/ 2 neighbors in D. The monopoly size of G, denoted mo(G), is the minimum cardinality of a monopoly set among all monopoly sets in G. The set D ⊆ V (G) is an independent monopoly set in G if it is both a monopoly set and an independent set in G. The number of vertices in a minimum independent monopoly set in a graph G is the independent monopoly size of …
On The Stability Of A Pexiderized Functional Equation In Intuitionistic Fuzzy Banach Spaces,
2015
Moula Netaji Vidyalaya
On The Stability Of A Pexiderized Functional Equation In Intuitionistic Fuzzy Banach Spaces, Nabin C. Kayal, Pratap Mondal, T. K. Samanta
Applications and Applied Mathematics: An International Journal (AAM)
During the last few decades several researchers have been devoted to establishing stability of different kinds of functional equations, differential equations, functional differential equations, fractional differential equations, etc. under different sufficient conditions in different spaces like Banach spaces, Banach modules, fuzzy Banach spaces etc. In this paper, we remain confined in the discussion of stability of functional equations in intuitionistic fuzzy Banach spaces. Ulam was the first person who introduced an open question concerning the stability of a group homomorphism in an international conference. Thereafter several researchers have replied and are still replying to this open question in different contexts. …
F–Geometric Mean Graphs,
2015
Mepco Engineering College (PO)
F–Geometric Mean Graphs, A. D. Baskar, S. Arockiaraj
Applications and Applied Mathematics: An International Journal (AAM)
In a study of traffic, the labelling problems in graph theory can be used by considering the crowd at every junction as the weights of a vertex and expected average traffic in each street as the weight of the corresponding edge. If we assume the expected traffic at each street as the arithmetic mean of the weight of the end vertices, that causes mean labelling of the graph. When we consider a geometric mean instead of arithmetic mean in a large population of a city, the rate of growth of traffic in each street will be more accurate. The geometric …
