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Mathematics

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2015

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Articles 1 - 30 of 209

Full-Text Articles in Physical Sciences and Mathematics

Solving A Class Of Linear Skorokhod Stochastic Differential Equations, Karl-Heinz Fichtner, Steffen Klaere, Volkmar Liebscher Dec 2015

Solving A Class Of Linear Skorokhod Stochastic Differential Equations, Karl-Heinz Fichtner, Steffen Klaere, Volkmar Liebscher

Communications on Stochastic Analysis

No abstract provided.


Two-Dimensional 1-Meixner Random Vectors And Their Semi-Quantum Operators, Gabriela Popa, Aurel I Stan Dec 2015

Two-Dimensional 1-Meixner Random Vectors And Their Semi-Quantum Operators, Gabriela Popa, Aurel I Stan

Communications on Stochastic Analysis

No abstract provided.


A Poisson Shot-Noise Process Of Pulses And Its Scaling Limits, Mine Çaglar Dec 2015

A Poisson Shot-Noise Process Of Pulses And Its Scaling Limits, Mine Çaglar

Communications on Stochastic Analysis

No abstract provided.


On The Lévy-Khinchin Decomposition Of Generating Functionals, Uwe Franz, Malte Gerhold, Andreas Thom Dec 2015

On The Lévy-Khinchin Decomposition Of Generating Functionals, Uwe Franz, Malte Gerhold, Andreas Thom

Communications on Stochastic Analysis

No abstract provided.


Doob's Decomposition Theorem For Near-Submartingales, Hui-Hsiung Kuo, Kimiaki Saitô Dec 2015

Doob's Decomposition Theorem For Near-Submartingales, Hui-Hsiung Kuo, Kimiaki Saitô

Communications on Stochastic Analysis

No abstract provided.


Large Deviations For Stochastic Tidal Dynamics Equation, Murugan Suvinthra, Sivaguru S Sritharan, Krishnan Balachandran Dec 2015

Large Deviations For Stochastic Tidal Dynamics Equation, Murugan Suvinthra, Sivaguru S Sritharan, Krishnan Balachandran

Communications on Stochastic Analysis

No abstract provided.


White Noise Analysis For The Canonical Lévy Process, Rolando D Navarro Jr., Frederi G Viens Dec 2015

White Noise Analysis For The Canonical Lévy Process, Rolando D Navarro Jr., Frederi G Viens

Communications on Stochastic Analysis

No abstract provided.


Krylov-Veretennikov Formula For Functionals From The Stopped Wiener Process, Georgii V Riabov Dec 2015

Krylov-Veretennikov Formula For Functionals From The Stopped Wiener Process, Georgii V Riabov

Communications on Stochastic Analysis

No abstract provided.


On The Stability Of A Pexiderized Functional Equation In Intuitionistic Fuzzy Banach Spaces, Nabin C. Kayal, Pratap Mondal, T. K. Samanta Dec 2015

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, A. D. Baskar, S. Arockiaraj Dec 2015

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 …


Solution To Some Open Problems On E-Super Vertex Magic Total Labeling Of Graphs, G. Marimuthu, M. S. Raja Durga, G. D. Devi Dec 2015

Solution To Some Open Problems On E-Super Vertex Magic Total Labeling Of Graphs, G. Marimuthu, M. S. Raja Durga, G. D. Devi

Applications and Applied Mathematics: An International Journal (AAM)

Let G be a finite graph with p vertices and q edges. A vertex magic total labeling is a bijection f from V(G)∪E(G) to the consecutive integers 1, 2, ..., p+q with the property that for every u∈V(G) , f( u)+ ∑f(uv)=K for some constant k. Such a labeling is E-super if f :E(G)→{1, 2,..., q}. A graph G is called E-super vertex magic if it admits an E-super vertex magic labeling. In this paper, we solve two open problems given by Marimuthu, Suganya, Kalaivani and Balakrishnan (Marimuthu et al., 2015).


In Honor And Memory Of Professor Lajos Takács, Aliakbar M. Haghighi, Sri G. Mohanty Dec 2015

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 …


Independent Monopoly Size In Graphs, Ahmed M. Naji, N. D. Soner Dec 2015

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 Growth Of Solutions Of The Generalized Axially Symmetric, Reduced Wave Equation In (N + 1) Variables, Devendra Kumar Dec 2015

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, Rais Ahmad, Mijanur Rahaman, Haider A. Rizvi Dec 2015

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.


The Shifted Jacobi Polynomial Integral Operational Matrix For Solving Riccati Differential Equation Of Fractional Order, A. Neamaty, B. Agheli, R. Darzi Dec 2015

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.


Numerical Solution Of Linear Fredholm Integro-Differential Equations By Non-Standard Finite Difference Method, Pramod K. Pandey Dec 2015

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.


Local Fractional Variational Iteration Method For Solving Nonlinear Partial Differential Equations Within Local Fractional Operators, Hossein Jafari, Hassan K. Jassim Dec 2015

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 …


Group Decision Making Using Comparative Linguistic Expression Based On Hesitant Intuitionistic Fuzzy Sets, Ismat Beg, Tabasam Rashid Dec 2015

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.


Asymptotically Double Lacunary Equivalent Sequences In Topological Groups, Ayhan Esi, M. K. Ozdemir Dec 2015

Asymptotically Double Lacunary Equivalent Sequences In Topological Groups, Ayhan Esi, M. K. Ozdemir

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in topological groups and prove some inclusion theorems.


Manzanar Murakami As Radical Mathematician, Logan Bishop-Van Horn Oct 2015

Manzanar Murakami As Radical Mathematician, Logan Bishop-Van Horn

Scholarly Undergraduate Research Journal at Clark (SURJ)

In Karen Tei Yamashita’s Tropic of Orange, characters attempt to make meaning of the many complex structures in which they are situated. In his unique meaning-making process, Manzanar Murakami, a homeless Sansei, “conducts” the Los Angeles traffic with a silver baton from atop a highway overpass. In conducting his music, Murakami per- forms complex mathematics, finding meaning in connection by mapping the rhythmic flow of humans, machines, and goods. Through his baton, to the sounds of a beautiful orchestra, he translates precisely the relationships he sees before him. Murakami’s music and Yamashita’s fantastic images constitute a “mathematical realism,” a lens …


Augmented Happy Functions Of Higher Powers, Marcus Harbol, Breeanne B. Swart Oct 2015

Augmented Happy Functions Of Higher Powers, Marcus Harbol, Breeanne B. Swart

Journal of the South Carolina Academy of Science

No abstract provided.


Art, Math, And Physics; All About For, Chris Brownell, Steve Pauls Sep 2015

Art, Math, And Physics; All About For, Chris Brownell, Steve Pauls

The STEAM Journal

Anish Kapoor’s public sculpture “Cloud Gate” and Frame of Reference.


Ambiguity In Speaking Chemistry And Other Stem Content: Educational Implications, Mick D. Isaacson, Michelle Michaels Sep 2015

Ambiguity In Speaking Chemistry And Other Stem Content: Educational Implications, Mick D. Isaacson, Michelle Michaels

Journal of Science Education for Students with Disabilities

Ambiguity in speech is a possible barrier to the acquisition of knowledge for students who have print disabilities (such as blindness, visual impairments, and some specific learning disabilities) and rely on auditory input for learning. Chemistry appears to have considerable potential for being spoken ambiguously and may be a barrier to accessing knowledge and to learning. Educators in chemistry may be unaware of, or have limited awareness of, potential ambiguity in speaking chemistry and may speak chemistry ambiguously to their students. One purpose of this paper is to increase awareness of potential ambiguity in speaking chemistry and other STEM fields …


Some Quantum Dynamical Semi-Groups With Quantum Stochastic Dilation, Lingaraj Sahu, Preetinder Singh Sep 2015

Some Quantum Dynamical Semi-Groups With Quantum Stochastic Dilation, Lingaraj Sahu, Preetinder Singh

Communications on Stochastic Analysis

No abstract provided.


Singular Equations Driven By An Additive Noise And Applications, Nicolas Marie Sep 2015

Singular Equations Driven By An Additive Noise And Applications, Nicolas Marie

Communications on Stochastic Analysis

No abstract provided.


On The Regularity Of One Parameter Transformation Groups In Barreled Locally Convex Topological Vector Spaces, Maximilian Bock Sep 2015

On The Regularity Of One Parameter Transformation Groups In Barreled Locally Convex Topological Vector Spaces, Maximilian Bock

Communications on Stochastic Analysis

No abstract provided.


Stochastic Dynamics Of Determinantal Processes By Integration By Parts, Laurent Decreusefond, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi Sep 2015

Stochastic Dynamics Of Determinantal Processes By Integration By Parts, Laurent Decreusefond, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi

Communications on Stochastic Analysis

No abstract provided.


Hidden Markov Change Point Estimation, Robert J Elliott, Sebastian Elliott Sep 2015

Hidden Markov Change Point Estimation, Robert J Elliott, Sebastian Elliott

Communications on Stochastic Analysis

No abstract provided.


Revisiting A Theorem Of L. A. Shepp On Optimal Stopping, Philip A Ernst, Larry A Shepp Sep 2015

Revisiting A Theorem Of L. A. Shepp On Optimal Stopping, Philip A Ernst, Larry A Shepp

Communications on Stochastic Analysis

No abstract provided.