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Articles 1441 - 1470 of 1925

Full-Text Articles in Mathematics

Subset Interval Groupoids, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2013

Subset Interval Groupoids, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

The study of groupoids is meager and we have recently introduced the new notion of subset groupoids and have studied them. It is interesting to keep on record that interval groupoids have been studied by us in 2010. Further when the subsets of a loop are taken they also form only a subset groupoid and not a subset loop. Thus we do not have the concept of subset interval loop they only form a subset interval groupoid. Special elements like subset interval zero divisors, subset interval idempotents and subset interval units are studied. Concept of subset interval groupoid homomorphism is …


Algebraic Structures Using Subsets, Florentin Smarandache, W.B Vasantha Kandasamy Jan 2013

Algebraic Structures Using Subsets, Florentin Smarandache, W.B Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

The study of subsets and giving algebraic structure to these subsets of a set started in the mid 18th century by George Boole. The first systematic presentation of Boolean algebra emerged in 1860s in papers written by William Jevons and Charles Sanders Peirce. Thus we see if P(X) denotes the collection of all subsets of the set X, then P(X) under the op erations of union and intersection is a Boolean algebra. Next the subsets of a set was used in the construction of topological spaces. We in this book consider subsets of a semigroup or a group or a …


Algebraic Structures Using [0,N), Florentin Smarandache, Vasantha Kandasamy Jan 2013

Algebraic Structures Using [0,N), Florentin Smarandache, Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

In this book authors for the first time introduce a new method of building algebraic structures on the interval [0, n). This study is interesting and innovative. However, [0, n) is a semigroup under product, × modulo n and a semigroup under min or max operation. Further [0, n) is a group under addition modulo n. We see [0, n) under both max and min operation is a semiring. [0, n) under + and × is not in general a ring. We define S = {[0, n), +, ×} to be a pseudo special ring as the distributive law is …


Fuzzy Neutrosophic Models For Social Scientists, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2013

Fuzzy Neutrosophic Models For Social Scientists, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

In this book, authors give the notion of different neutrosophic models like, neutrosophic cognitive maps (NCMs), neutrosophic relational maps (NEMs), neutrosophic relational equations (NREs), neutrosophic bidirectional associative memories (NBAMs) and neutrosophic associative memories (NAMs) for socio scientists. This book has six chapters. The first chapter introduces the basic concepts of neutrosophic numbers and notions about neutrosophic graphs which are essential to construct these neutrosophic models. In chapter two we describe the concept of neutrosophic matrices and the essential operations related with them which are used in the study and working of these neutrosophic models. However the reader must be familiar …


A Representation For Positive Functionals Of A Brownian Motion And An Application, P Sundar, Ming Tao Dec 2012

A Representation For Positive Functionals Of A Brownian Motion And An Application, P Sundar, Ming Tao

Communications on Stochastic Analysis

No abstract provided.


Lattice Modules Over Rings Of Bounded Random Variables, Karl-Theodor Eisele, Sonia Taieb Dec 2012

Lattice Modules Over Rings Of Bounded Random Variables, Karl-Theodor Eisele, Sonia Taieb

Communications on Stochastic Analysis

No abstract provided.


Spectral Multipliers For The Dunkl Laplacian, Sallam Hassani, Mohamed Sifi Dec 2012

Spectral Multipliers For The Dunkl Laplacian, Sallam Hassani, Mohamed Sifi

Communications on Stochastic Analysis

No abstract provided.


Bose-Einstein Condensation: A Transition To Chaos Result, Stefania Ugolini Dec 2012

Bose-Einstein Condensation: A Transition To Chaos Result, Stefania Ugolini

Communications on Stochastic Analysis

No abstract provided.


The Feynman Integrand For The Charged Particle In A Constant Magnetic Field As White Noise Distribution, Wolfgang Bock, Martin Grothaus, Sebastian Jung Dec 2012

The Feynman Integrand For The Charged Particle In A Constant Magnetic Field As White Noise Distribution, Wolfgang Bock, Martin Grothaus, Sebastian Jung

Communications on Stochastic Analysis

No abstract provided.


Cauchy Problem And Integral Representation Associated To The Power Of The Qwn-Euler Operator, Aymen Ettaieb, Habib Ouerdiane, Hafedh Rguigui Dec 2012

Cauchy Problem And Integral Representation Associated To The Power Of The Qwn-Euler Operator, Aymen Ettaieb, Habib Ouerdiane, Hafedh Rguigui

Communications on Stochastic Analysis

No abstract provided.


Generalized Field Operator Associated To The Fractional Lévy Processes, Mounir Dahwathi, Souheyl Jendoubi, Habib Ouerdiane, Anis Riahi Dec 2012

Generalized Field Operator Associated To The Fractional Lévy Processes, Mounir Dahwathi, Souheyl Jendoubi, Habib Ouerdiane, Anis Riahi

Communications on Stochastic Analysis

No abstract provided.


Numerical Methods For Optimal Insurance Demand Under Marked Point Processes Shocks, Mohamed Mnif Dec 2012

Numerical Methods For Optimal Insurance Demand Under Marked Point Processes Shocks, Mohamed Mnif

Communications on Stochastic Analysis

No abstract provided.


Preface Dec 2012

Preface

Communications on Stochastic Analysis

No abstract provided.


Clark-Ocone Formula By The S-Transform On The Poisson White Noise Space, Yuh-Jia Lee, Nicolas Privault, Hsin-Hung Shih Dec 2012

Clark-Ocone Formula By The S-Transform On The Poisson White Noise Space, Yuh-Jia Lee, Nicolas Privault, Hsin-Hung Shih

Communications on Stochastic Analysis

No abstract provided.


Lieb-Thirring Bound For Schrödinger Operators With Bernstein Functions Of The Laplacian, Fumio Hiroshima, József Lorinczi Dec 2012

Lieb-Thirring Bound For Schrödinger Operators With Bernstein Functions Of The Laplacian, Fumio Hiroshima, József Lorinczi

Communications on Stochastic Analysis

No abstract provided.


Backward Stochastic Differential Equations With Respect To General Filtrations And Applications To Insider Finance, Bernt Øksendal, Tusheng Zhang Dec 2012

Backward Stochastic Differential Equations With Respect To General Filtrations And Applications To Insider Finance, Bernt Øksendal, Tusheng Zhang

Communications on Stochastic Analysis

No abstract provided.


The Itô Formula For A New Stochastic Integral, Hui-Hsiung Kuo, Anuwat Sae-Tang, Benedykt Szozda Dec 2012

The Itô Formula For A New Stochastic Integral, Hui-Hsiung Kuo, Anuwat Sae-Tang, Benedykt Szozda

Communications on Stochastic Analysis

No abstract provided.


On The Numerical Solution Of Linear Fredholm-Volterra İntegro Differential Difference Equations With Piecewise İntervals, Mustafa Gülsu, Yalçın Öztürk Dec 2012

On The Numerical Solution Of Linear Fredholm-Volterra İntegro Differential Difference Equations With Piecewise İntervals, Mustafa Gülsu, Yalçın Öztürk

Applications and Applied Mathematics: An International Journal (AAM)

The numerical solution of a mixed linear integro delay differential-difference equation with piecewise interval is presented using the Chebyshev collocation method. The aim of this article is to present an efficient numerical procedure for solving a mixed linear integro delay differential difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms a mixed linear integro delay differential-difference equations and the given conditions into a matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system …


Sample Path Properties Of Volterra Processes, Leonid Mytnik, Eyal Neuman Sep 2012

Sample Path Properties Of Volterra Processes, Leonid Mytnik, Eyal Neuman

Communications on Stochastic Analysis

No abstract provided.


Feynman-Kac Formula For The Solution Of Cauchy's Problem With Time Dependent Lévy Generator, Aroldo Pérez Sep 2012

Feynman-Kac Formula For The Solution Of Cauchy's Problem With Time Dependent Lévy Generator, Aroldo Pérez

Communications on Stochastic Analysis

No abstract provided.


Stochastic Calculus For Gaussian Processes And Application To Hitting Times, Pedro Lei, David Nualart Sep 2012

Stochastic Calculus For Gaussian Processes And Application To Hitting Times, Pedro Lei, David Nualart

Communications on Stochastic Analysis

No abstract provided.


Krylov-Veretennikov Expansion For Coalescing Stochastic Flows, Andrey A Dorogovtsev Sep 2012

Krylov-Veretennikov Expansion For Coalescing Stochastic Flows, Andrey A Dorogovtsev

Communications on Stochastic Analysis

No abstract provided.


Qwn-Conservation Operator And Associated Wick Differential Equation, Habib Ouerdiane, Hafedh Rguigui Sep 2012

Qwn-Conservation Operator And Associated Wick Differential Equation, Habib Ouerdiane, Hafedh Rguigui

Communications on Stochastic Analysis

No abstract provided.


Sde Solutions In The Space Of Smooth Random Variables, Yeliz Yolcu Okur, Frank Proske, Hassilah Binti Salleh Sep 2012

Sde Solutions In The Space Of Smooth Random Variables, Yeliz Yolcu Okur, Frank Proske, Hassilah Binti Salleh

Communications on Stochastic Analysis

No abstract provided.


Solutions Of Linear Elliptic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow Sep 2012

Solutions Of Linear Elliptic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow

Communications on Stochastic Analysis

No abstract provided.


Temporal Correlation Of Defaults In Subprime Securitization, Eric Hillebrand, Ambar N Sengupta, Junyue Xu Sep 2012

Temporal Correlation Of Defaults In Subprime Securitization, Eric Hillebrand, Ambar N Sengupta, Junyue Xu

Communications on Stochastic Analysis

No abstract provided.


An Estimate For Bounded Solutions Of The Hermite Heat Equation, Bishnu Prasad Dhungana Sep 2012

An Estimate For Bounded Solutions Of The Hermite Heat Equation, Bishnu Prasad Dhungana

Communications on Stochastic Analysis

No abstract provided.


Using Modeling And Simulation To Analyze Complex Aircraft, Kimberlee Margosian, Jason Lechniak Aug 2012

Using Modeling And Simulation To Analyze Complex Aircraft, Kimberlee Margosian, Jason Lechniak

STAR Program Research Presentations

Modeling and Simulation (M&S) is used at the Air Force Flight Test Center (AFFTC) on Edwards Air Force Base (AFB) to better understand physical phenomena on aircraft. M&S allows for the reduction of cost and risk by providing a better understanding of required flight tests and the interactions between various forces and the aircraft (i.e. wind resistance, pressure change, and temperature change). Without this process, the lives of pilots would be at a much greater risk when testing their aircraft and there would be little to no funds to fly due to the cost to repair or modify the aircraft. …


Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson Jul 2012

Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson

Journal of Humanistic Mathematics

Now is a good time to work on the boundaries of practice and theory, of art and science. We are seeing a rising tide of interest in these boundaries. Witness the growing Bridges movement, which has been exploring the connections between mathematics and the arts. Similarly, JoAnne Growney's blog, Intersections -- Poetry with Mathematics, explores the connections between mathematics and poetry. Through this review, I aim to give readers a taste of what can be found in Intersections as a way of encouraging others, be they mathematicians, poets, or neither, to visit the blog.


Extended Pcr Rules For Dynamic Frames, Florentin Smarandache, Jean Dezert Jul 2012

Extended Pcr Rules For Dynamic Frames, Florentin Smarandache, Jean Dezert

Branch Mathematics and Statistics Faculty and Staff Publications

In most of classical fusion problems modeled from belief functions, the frame of discernment is considered as static. This means that the set of elements in the frame and the underlying integrity constraints of the frame are fixed forever and they do not change with time. In some applications, like in target tracking for example, the use of such invariant frame is not very appropriate because it can truly change with time. So it is necessary to adapt the Proportional Conflict Redistribution fusion rules (PCR5 and PCR6) for working with dynamical frames. In this paper, we propose an extension of …