An Interpolating Family Of Means, 2012 Louisiana State University
An Interpolating Family Of Means, Rajendra Bhatia, Ren-Cang Li
Communications on Stochastic Analysis
No abstract provided.
Some Problems Involving Airy Functions, 2012 Louisiana State University
Some Problems Involving Airy Functions, V S Varadarajan
Communications on Stochastic Analysis
No abstract provided.
Lévy Processes Through Time Shift On Oscillator Weyl Algebra, 2012 Louisiana State University
Lévy Processes Through Time Shift On Oscillator Weyl Algebra, Luigi Accardi, Habib Ouerdiane, Habib Rebei
Communications on Stochastic Analysis
No abstract provided.
Roots Of States, 2012 Louisiana State University
Roots Of States, B V Rajarama Bhat
Communications on Stochastic Analysis
No abstract provided.
The Early Years Of Quantum Stochastic Calculus, 2012 Louisiana State University
The Early Years Of Quantum Stochastic Calculus, R L Hudson
Communications on Stochastic Analysis
No abstract provided.
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space, 2012 Louisiana State University
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space, V P Belavkin, M F Brown
Communications on Stochastic Analysis
No abstract provided.
A Novel Approach To Processing Fractal Dynamical Systems Using The Yang-Fourier Transforms, 2012 China University of Mining & Technology
A Novel Approach To Processing Fractal Dynamical Systems Using The Yang-Fourier Transforms, Yang Xiaojun
Xiao-Jun Yang
In the present paper, local fractional continuous non-differentiable functions in fractal space are investigated, and the control method for processing dynamic systems in fractal space are proposed using the Yang-Fourier transform based on the local fractional calculus. Two illustrative paradigms for control problems in fractal space are given to elaborate the accuracy and reliable results.
From Velocities To Fluxions, 2012 Chapman University
From Velocities To Fluxions, Marco Panza
MPP Published Research
"Though the De Methodis results, for its essential structure and content, from a re-elaboration of a previous unfinished treatise composed in the Fall of 1666—now known, after Whiteside, as The October 1666 tract on fluxions ([22], I, pp. 400-448)—, the introduction of the term ‘fluxion’ goes together with an important conceptual change concerned with Newton’s understanding of his own achievements. I shall argue that this change marks a crucial step in the origins of analysis, conceived as an autonomous mathematical theory."
"Our Research Was Centered On Whether Or Not The Following Changes Made To The Pre-Calculus Algebra Class Positively Affected Student Performance…", 2012 University of Alabama in Huntsville
"Our Research Was Centered On Whether Or Not The Following Changes Made To The Pre-Calculus Algebra Class Positively Affected Student Performance…", Andrea Winchester
Summer Community of Scholars Posters (RCEU and HCR Combined Programs)
No abstract provided.
Strongly Complete Logics For Coalgebras, 2012 Chapman University
Strongly Complete Logics For Coalgebras, Alexander Kurz, Jiří Rosický
Engineering Faculty Articles and Research
Coalgebras for a functor model different types of transition systems in a uniform way. This paper focuses on a uniform account of finitary logics for set-based coalgebras. In particular, a general construction of a logic from an arbitrary set-functor is given and proven to be strongly complete under additional assumptions. We proceed in three parts.
Part I argues that sifted colimit preserving functors are those functors that preserve universal algebraic structure. Our main theorem here states that a functor preserves sifted colimits if and only if it has a finitary presentation by operations and equations. Moreover, the presentation of the …
The Seaborgium Chemical Table, 2012 Butler University
The Seaborgium Chemical Table, Jeremiah Farrell
Scholarship and Professional Work - LAS
The diagram is an example of a connected, cubic graph with its ten nodes labelled with the letters of SEABORGIUM, chemical element 106. Connected means it is in one piece and cubic means that each node has exactly three edges on it.
Oyun: A New, Free Program For Iterated Prisoner’S Dilemma Tournaments In The Classroom, 2012 Louisiana State University
Oyun: A New, Free Program For Iterated Prisoner’S Dilemma Tournaments In The Classroom, Charles H. Pence, Lara Buchak
Faculty Publications
Evolutionary applications of game theory present one of the most pedagogically accessible varieties of genuine, contemporary theoretical biology. We present here Oyun (oy-oon, http://charlespence.net/oyun), a program designed to run iterated prisoner's dilemma tournaments, competitions between prisoner's dilemma strategies developed by the students themselves. Using this software, students are able to readily design and tweak their own strategies, and to see how they fare both in round-robin tournaments and in “evolutionary” tournaments, where the scores in a given “generation” directly determine contribution to the population in the next generation. Oyun is freely available, runs on Windows, Mac, and Linux computers, …
Theory And Applications Of Local Fractional Fourier Analysis, 2012 China University of Mining & Technology
Theory And Applications Of Local Fractional Fourier Analysis, Yang Xiaojun
Xiao-Jun Yang
Local fractional Fourier analysis is a generalized Fourier analysis in fractal space. The local fractional calculus is one of useful tools to process the local fractional continuously non-differentiable functions (fractal functions). Based on the local fractional derivative and integration, the present work is devoted to the theory and applications of local fractional Fourier analysis in generalized Hilbert space. We investigate the local fractional Fourier series, the Yang-Fourier transform, the generalized Yang-Fourier transform, the discrete Yang-Fourier transform and fast Yang-Fourier transform.
Heat Transfer In Discontinuous Media, 2012 China University of Mining & Technology
Heat Transfer In Discontinuous Media, Yang Xiaojun
Xiao-Jun Yang
From the fractal geometry point of view, the interpretations of local fractional derivative and local fractional integration are pointed out in this paper. It is devoted to heat transfer in discontinuous media derived from local fractional derivative. We investigate the Fourier law and heat conduction equation (also local fractional instantaneous heat conduct equation) in fractal orthogonal system based on cantor set, and extent them. These fractional differential equations are described in local fractional derivative sense. The results are efficiently developed in discontinuous media.
A Short Note On Local Fractional Calculus Of Function Of One Variable, 2012 China University of Mining & Technology
A Short Note On Local Fractional Calculus Of Function Of One Variable, Yang Xiaojun
Xiao-Jun Yang
Local fractional calculus (LFC) handles everywhere continuous but nowhere differentiable functions in fractal space. This note investigates the theory of local fractional derivative and integral of function of one variable. We first introduce the theory of local fractional continuity of function and history of local fractional calculus. We then consider the basic theory of local fractional derivative and integral, containing the local fractional Rolle’s theorem, L’Hospital’s rule, mean value theorem, anti-differentiation and related theorems, integration by parts and Taylor’ theorem. Finally, we study the efficient application of local fractional derivative to local fractional extreme value of non-differentiable functions, and give …
A New Successive Approximation To Non-Homogeneous Local Fractional Volterra Equation, 2012 China University of Mining & Technology
A New Successive Approximation To Non-Homogeneous Local Fractional Volterra Equation, Yang Xiaojun
Xiao-Jun Yang
A new successive approximation approach to the non-homogeneous local fractional Valterra equation derived from local fractional calculus is proposed in this paper. The Valterra equation is described in local fractional integral operator. The theory of local fractional derivative and integration is one of useful tools to handle the fractal and continuously non-differentiable functions, was successfully applied in engineering problem. We investigate an efficient example of handling a non-homogeneous local fractional Valterra equation.
Advanced Local Fractional Calculus And Its Applications, 2012 China University of Mining & Technology
Advanced Local Fractional Calculus And Its Applications, Yang Xiaojun
Xiao-Jun Yang
This book is the first international book to study theory and applications of local fractional calculus (LFC). It is an invitation both to the interested scientists and the engineers. It presents a thorough introduction to the recent results of local fractional calculus. It is also devoted to the application of advanced local fractional calculus on the mathematics science and engineering problems. The author focuses on multivariable local fractional calculus providing the general framework. It leads to new challenging insights and surprising correlations between fractal and fractional calculus. Keywords: Fractals - Mathematical complexity book - Local fractional calculus- Local fractional partial …
A Short Introduction To Yang-Laplace Transforms In Fractal Space, 2012 China University of Mining & Technology
A Short Introduction To Yang-Laplace Transforms In Fractal Space, Yang Xiaojun
Xiao-Jun Yang
The Yang-Laplace transforms [W. P. Zhong, F. Gao, In: Proc. of the 2011 3rd International Conference on Computer Technology and Development, 209-213, ASME, 2011] in fractal space is a generalization of Laplace transforms derived from the local fractional calculus. This letter presents a short introduction to Yang-Laplace transforms in fractal space. At first, we present the theory of local fractional derivative and integral of non-differential functions defined on cantor set. Then the properties and theorems for Yang-Laplace transforms are tabled, and both the initial value theorem and the final value theorem are investigated. Finally, some applications to the wave equation …
Local Fractional Integral Equations And Their Applications, 2012 China University of Mining & Technology
Local Fractional Integral Equations And Their Applications, Yang Xiaojun
Xiao-Jun Yang
This letter outlines the local fractional integral equations carried out by the local fractional calculus (LFC). We first introduce the local fractional calculus and its fractal geometrical explanation. We then investigate the local fractional Volterra/ Fredholm integral equations, local fractional nonlinear integral equations, local fractional singular integral equations and local fractional integro-differential equations. Finally, their applications of some integral equations to handle some differential equations with local fractional derivative and local fractional integral transforms in fractal space are discussed in detail.
Local Fractional Partial Differential Equations With Fractal Boundary Problems, 2012 China University of Mining & Technology
Local Fractional Partial Differential Equations With Fractal Boundary Problems, Yang Xiaojun
Xiao-Jun Yang
This letter points out the new alternative approaches to processing local fractional partial differential equations with fractal boundary conditions. Applications of the local fractional Fourier series, the Yang-Fourier transforms and the Yang-Laplace transforms to solve of local fractional partial differential equations with fractal boundary conditions are investigated in detail.