Neutrosophic Code,
2011
University of New Mexico
Neutrosophic Code, Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir
Branch Mathematics and Statistics Faculty and Staff Publications
The idea of neutrosophic code came into my mind at that time when i was reading the literature about linear codes and i saw that, if there is data transformation between a sender and a receiver. They want to send 11and 00 as codewords. They suppose 11 for true and 00 for false. When the sender sends the these two codewords and the error occurs. As a result the receiver received 01 or 10 instead of 11 and 00. This story give a way to the neutrosophic codes and thus we introduced neutrosophic codes over finite field in this paper.
G-Neutrosophic Space,
2011
University of New Mexico
G-Neutrosophic Space, Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir
Branch Mathematics and Statistics Faculty and Staff Publications
The Concept of a G-space came into being as a consequence of Group action on an ordinary set. Over the history of Mathematics and Algebra, theory of group action has emerged and proven to be an applicable and effective framework for the study of different kinds of structures to make connection among them.
Generalized Interval Neutrosophic Soft Set And Its Decision Making Problem,
2011
University of New Mexico
Generalized Interval Neutrosophic Soft Set And Its Decision Making Problem, Said Broumi
Branch Mathematics and Statistics Faculty and Staff Publications
In this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem.
Putting The X In Biology: A Review Of The Mathematics Of Life,
2011
Old Dominion University
Putting The X In Biology: A Review Of The Mathematics Of Life, John Adam
Mathematics & Statistics Faculty Publications
(First Paragraph) Charles Darwin's 1859 work On the Origin of the Species contained no equations. But that does not mean mathematics has no role to play in the science of life; in fact, the field of biomathematics is burgeoning and has been for several decades. Ian Stewart's new book does an admirable job of unfolding the mathematics undergirding so much of the research being carried out today in the many fields that comprise the subject of biology. Stewart sets the context by noting five great revolutions that have changed the way scientists think about life. These five revolutions are: (i) …
A Class Of Gaussian Processes With Fractional Spectral Measures,
2011
Chapman University
A Class Of Gaussian Processes With Fractional Spectral Measures, Daniel Alpay, Palle Jorgensen, David Levanony
Mathematics, Physics, and Computer Science Faculty Articles and Research
We study a family of stationary increment Gaussian processes, indexed by time. These processes are determined by certain measures σ (generalized spectral measures), and our focus here is on the case when the measure σ is a singular measure. We characterize the processes arising from when σ is in one of the classes of affine self-similar measures. Our analysis makes use of Kondratiev-white noise spaces. With the use of a priori estimates and the Wick calculus, we extend and sharpen (see Theorem 7.1) earlier computations of Ito stochastic integration developed for the special case of stationary increment processes having absolutely …
Completeness Of Ordered Fields,
2010
California Polytechnic State University, San Luis Obispo
Completeness Of Ordered Fields, James Forsythe Hall
Mathematics
The main goal of this project is to prove the equivalency of several characterizations of completeness of Archimedean ordered fields; some of which appear in most modern literature as theorems following from the Dedekind completeness of the real numbers, while a couple are not as well known and have to do with other areas of mathematics, such as nonstandard analysis. Continuing, we study the completeness of non-Archimedean fields, and provide several examples of such fields with varying degrees of properties, using nonstandard analysis to produce some relatively "nice" (in particular, they are Cantor complete) final examples. As a small detour, …
Markov Chains And Dynamical Systems: The Open System Point Of View,
2010
Louisiana State University
Markov Chains And Dynamical Systems: The Open System Point Of View, Stéphane Attal
Communications on Stochastic Analysis
No abstract provided.
Transformation Of Quantum Lévy Processes On Hopf Algebras,
2010
Louisiana State University
Transformation Of Quantum Lévy Processes On Hopf Algebras, Michael Schürmann, Michael Skeide, Silvia Volkwardt
Communications on Stochastic Analysis
No abstract provided.
Characterization Of Unitary Processes With Independent Increments,
2010
Louisiana State University
Characterization Of Unitary Processes With Independent Increments, Un Cig Ji, Lingaraj Sahu, Kalyan B Sinha
Communications on Stochastic Analysis
No abstract provided.
How To Differentiate A Quantum Stochastic Cocycle,
2010
Louisiana State University
How To Differentiate A Quantum Stochastic Cocycle, J Martin Lindsay
Communications on Stochastic Analysis
No abstract provided.
Preface,
2010
Louisiana State University
Robin Hudson's Pathless Path To Quantum Stochastic Calculus,
2010
Louisiana State University
Robin Hudson's Pathless Path To Quantum Stochastic Calculus, David Applebaum
Communications on Stochastic Analysis
No abstract provided.
Quantum Filtering In Coherent States,
2010
Louisiana State University
Quantum Filtering In Coherent States, John E Gough, Claus Köstler
Communications on Stochastic Analysis
No abstract provided.
Quantum Quasi-Markov Processes, L-Dynamics, And Noncommutative Girsanov Transformation,
2010
Louisiana State University
Quantum Quasi-Markov Processes, L-Dynamics, And Noncommutative Girsanov Transformation, V P Belavkin
Communications on Stochastic Analysis
No abstract provided.
On The Characteristic Function Of Random Variables Associated With Boson Lie Algebras,
2010
Università degli Studi di Roma Tor Vergata
On The Characteristic Function Of Random Variables Associated With Boson Lie Algebras, Luigi Accardi, Andreas Boukas
Communications on Stochastic Analysis
No abstract provided.
Cosine And Gaussian Transforms,
2010
Louisiana State University
Cosine And Gaussian Transforms, Carlos Lizama, Rolando Rebolledo
Communications on Stochastic Analysis
No abstract provided.
E-Semigroups Subordinate To Ccr Flows,
2010
Louisiana State University
E-Semigroups Subordinate To Ccr Flows, Stephen J Wills
Communications on Stochastic Analysis
No abstract provided.
Approximate Analytical Solutions For Fractional Space- And Time- Partial Differential Equations Using Homotopy Analysis Method,
2010
Banaras Hindu University
Approximate Analytical Solutions For Fractional Space- And Time- Partial Differential Equations Using Homotopy Analysis Method, Subir, Das, R. Kumar, P. K. Gupta, Hossein Jafari
Applications and Applied Mathematics: An International Journal (AAM)
This article presents the approximate analytical solutions of first order linear partial differential equations (PDEs) with fractional time- and space- derivatives. With the aid of initial values, the explicit solutions of the equations are solved making use of reliable algorithm like homotopy analysis method (HAM). The speed of convergence of the method is based on a rapidly convergent series with easily computable components. The fractional derivatives are described in Caputo sense. Numerical results show that the HAM is easy to implement and accurate when applied to space- time- fractional PDEs.
Rethinking Geometrical Exactness,
2010
Chapman University
Rethinking Geometrical Exactness, Marco Panza
MPP Published Research
A crucial concern of early modern geometry was fixing appropriate norms for deciding whether some objects, procedures, or arguments should or should not be allowed into it. According to Bos, this is the exactness concern. I argue that Descartes’s way of responding to this concern was to suggest an appropriate conservative extension of Euclid’s plane geometry (EPG). In Section 2, I outline the exactness concern as, I think, it appeared to Descartes. In Section 3, I account for Descartes’s views on exactness and for his attitude towards the most common sorts of constructions in classical geometry. I also explain in …
Breathing Fresh Air Into The Philosophy Of Mathematics,
2010
Chapman University
Breathing Fresh Air Into The Philosophy Of Mathematics, Marco Panza
MPP Published Research
A review of Paolo Mancosu (ed.): The Philosophy of Mathematical Practice.
