Mathematics Commons^™

Interval Linear Algebra, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

This Interval arithmetic or interval mathematics developed in 1950’s and 1960’s by mathematicians as an approach to putting bounds on rounding errors and measurement error in mathematical computations. However no proper interval algebraic structures have been defined or studies. In this book we for the first time introduce several types of interval linear algebras and study them. This structure has become indispensable for these concepts will find applications in numerical optimization and validation of structural designs. In this book we use only special types of intervals and introduce the notion of different types of interval linear algebras and interval vector …

Super Special Codes Using Super Matrices, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral

Branch Mathematics and Statistics Faculty and Staff Publications

The new classes of super special codes are constructed in this book using the specially constructed super special vector spaces. These codes mainly use the super matrices. These codes can be realized as a special type of concatenated codes. This book has four chapters. In chapter one basic properties of codes and super matrices are given. A new type of super special vector space is constructed in chapter two of this book. Three new classes of super special codes namely, super special row code, super special column code and super special codes are introduced in chapter three. Applications of these …

Rank Distance Bicodes And Their Generalization, Florentin Smarandache, W.B. Vasantha Kandasamy, N. Suresh Babu, R.S. Selvaraj

Branch Mathematics and Statistics Faculty and Staff Publications

In this book the authors introduce the new notion of rank distance bicodes and generalize this concept to Rank Distance n-codes (RD n-codes), n, greater than or equal to three. This definition leads to several classes of new RD bicodes like semi circulant rank bicodes of type I and II, semicyclic circulant rank bicode, circulant rank bicodes, bidivisible bicode and so on. It is important to mention that these new classes of codes will not only multitask simultaneously but also they will be best suited to the present computerised era. Apart from this, these codes are best suited in cryptography. …

Interval Groupoids, Florentin Smarandache, W.B. Vasantha Kandasamy, Moon Kumar Chetry

Branch Mathematics and Statistics Faculty and Staff Publications

This book introduces several new classes of groupoid, like polynomial groupoids, matrix groupoids, interval groupoids, polynomial interval groupoids, matrix interval groupoids and their neutrosophic analogues.

Fractal Location And Anomalous Diffusion Dynamics For Oil Wells From The Ky Geological Survey, Keith Andrew, Karla M. Andrew, Kevin A. Andrew

Physics & Astronomy Faculty Publications

Utilizing data available from the Kentucky Geonet (KYGeonet.ky.gov) the fossil fuel mining locations created by the Kentucky Geological Survey geo-locating oil and gas wells are mapped using ESRI ArcGIS in Kentucky single plain 1602 ft projection. This data was then exported into a spreadsheet showing latitude and longitude for each point to be used for modeling at different scales to determine the fractal dimension of the set. Following the porosity and diffusivity studies of Tarafdar and Roy[1] we extract fractal dimensions of the fossil fuel mining locations and search for evidence of scaling laws for the set of deposits. The …

Mrm-Applicable Orthogonal Polynomials For Certain Hypergeometric Functions, Izumi Kubo, Hui-Hsiung Kuo

Communications on Stochastic Analysis

No abstract provided.

Exact Scenario Simulation For Selected Multi-Dimensional Stochastic Processes, Eckhard Platen, Renata Rendek

Communications on Stochastic Analysis

No abstract provided.

Nonlinear Filtering Of Itô-Lévy Stochastic Differential Equations With Continuous Observations, S Popa, S S Sritharan

Communications on Stochastic Analysis

No abstract provided.

Sample Properties Of Random Fields. Ii. Continuity, Jürgen Potthoff

Communications on Stochastic Analysis

No abstract provided.

On The Extension Of A Basic Property Of Conditional Expectations To Second Quantization Operators, Alberto Lanconelli

Communications on Stochastic Analysis

No abstract provided.

Stochastic Integral Characterizations Of Semi-Selfdecomposable Distributions And Related Ornstein-Uhlenbeck Type Processes, Makoto Maejima, Yohei Ueda

Communications on Stochastic Analysis

No abstract provided.

Invariant States For The Asymmetric Exclusion Quantum Markov Semigroup, Julio C Garcia, Leopoldo Pantaleón-Martinez, Roberto Quezada

Communications on Stochastic Analysis

No abstract provided.

Irreducible And Periodic Positive Maps, Franco Fagnola, Rely Pellicer

Communications on Stochastic Analysis

No abstract provided.

Converse Comparison Theorems For Backward Doubly Stochastic Differential Equations, Mohamed El Otmani, Naoual Mrhardy

Communications on Stochastic Analysis

No abstract provided.

Using Labeled Data To Evaluate Change Detectors In A Multivariate Streaming Environment, Albert Y. Kim, Caren Marzban, Donald B. Percival, Werner Stuetzle

Statistical and Data Sciences: Faculty Publications

We consider the problem of detecting changes in a multivariate data stream. A change detector is defined by a detection algorithm and an alarm threshold. A detection algorithm maps the stream of input vectors into a univariate detection stream. The detector signals a change when the detection stream exceeds the chosen alarm threshold. We consider two aspects of the problem: (1) setting the alarm threshold and (2) measuring/comparing the performance of detection algorithms. We assume we are given a segment of the stream where changes of interest are marked. We present evidence that, without such marked training data, it might …

Markovian Systems Of Transition Expectations, Volkmar Liebscher, Michael Skeide

Communications on Stochastic Analysis

No abstract provided.

Using Weights For The Description Of States Of Boson Systems, Volkmar Liebscher

Communications on Stochastic Analysis

No abstract provided.

Generating Functions Of Jacobi Polynomials, Izumi Kubo

Communications on Stochastic Analysis

No abstract provided.

Generalized Cauchy-Stieltjes Transforms Of Some Beta Distributions, Nizar Demni

Communications on Stochastic Analysis

No abstract provided.

Unbounded Positive Solutions Of Nonlinear Parabolic Itô Equations, Pao-Liu Chow

Communications on Stochastic Analysis

No abstract provided.

Markovian Properties Of The Pauli-Fierz Model, Ameur Dhahri

Communications on Stochastic Analysis

No abstract provided.

Representations Of The Gegenbauer Oscillator Algebra And The Overcompleteness Of Sequences Of Nonlinear Coherent States, Abdessatar Barhoumi

Communications on Stochastic Analysis

No abstract provided.

Local Time For Gaussian Processes As An Element Of Sobolev Space, Alexey Rudenko

Communications on Stochastic Analysis

No abstract provided.

Analytical Solution Of Time-Fractional Advection Dispersion Equation, Tariq O. Salim, Ahmad El-Kahlout

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we get exact solution of the time-fractional advection-dispersion equation with reaction term, where the Caputo fractional derivative is considered of order α ϵ (0,2]. The solution is achieved by using a function transform, Fourier and Laplace transforms to get the formulas of the fundamental solution, which are expressed explicitly in terms of Fox’s H-function by making use of the relationship between Fourier and Mellin transforms. As special cases the exact solutions of time-fractional diffusion and wave equations are also obtained, and the solutions of the integer order equations are mentioned.

Ethnomathematics In The Dominican Republic: A Mathematics Education Approach To Knowledge And Emancipation, Sofia Pablo-Hoshino

Renée Crown University Honors Thesis Projects - All

This focus of this project was to look at the extent to which ethnomathematics is being used in the mathematics curriculum in theDominican Republic. Broadly described, ethnomathematics emphasizes that the culture, history, and experiences of the students are significant and therefore should be infused into the mathematics curriculum.

I read articles and books as well as traveled to theDominican Republicto conduct qualitative research. I interviewed 32 professionals consisting of mathematics teachers, mathematics professors, and mathematics education professors from theSantiagoandSanto Domingoareas. I then volunteered at the Dominican Republic Education and Mentoring (DREAM) Project where I was able to observe and participate …

On The Distributions Of The Sup And Inf Of The Classical Risk Process With Exponential Claim, Jorge A León, José Villa

Communications on Stochastic Analysis

No abstract provided.

Optimal Consumption And Portfolio For An Insider In A Market With Jumps, Delphine David, Yeliz Yolcu Okur

Communications on Stochastic Analysis

No abstract provided.

Pac Commutators And The R-Transform, Aurel I Stan

Communications on Stochastic Analysis

No abstract provided.

A Stochastic Process Associated With The Weighted White Noise Differentiation, Issei Kitagawa

Communications on Stochastic Analysis

No abstract provided.

Stochastic Heat Equation With Infinite Dimensional Fractional Noise: L_{2}-Theory, Raluca Balan

Communications on Stochastic Analysis

No abstract provided.