Algebraic Structures Using Natural Class Of Intervals,
2011
University of New Mexico
Algebraic Structures Using Natural Class Of Intervals, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
Authors in this book introduce a new class of intervals called the natural class of intervals, also known as the special class of intervals or as natural intervals. These intervals are built using increasing intervals, decreasing intervals and degenerate intervals. We say an interval [a, b] is an increasing interval if a < b for any a, b in the field of reals R. An interval [a, b] is a decreasing interval if a > b and the interval [a, b] is a degenerate interval if a = b for a, b in the field of reals R. The natural class of intervals consists of the collection of increasing intervals, decreasing intervals and the degenerate intervals. Clearly R is contained in the natural …
Study Of Natural Class Of Intervals Using (–∞,∞) And (∞, –∞),
2011
University of New Mexico
Study Of Natural Class Of Intervals Using (–∞,∞) And (∞, –∞), Florentin Smarandache, W.B. Vasantha Kandasamy, D. Datta, H.S. Kushwaha, P.A. Jadhav
Branch Mathematics and Statistics Faculty and Staff Publications
In this book the authors study the properties of natural class of intervals built using (–∞, ∞) and (∞, –∞). These natural class of intervals behave like the reals R, as far as the operations of addition, multiplication, subtraction and division are concerned. Using these natural class of intervals we build interval row matrices, interval column matrices and m × n interval matrices. Several properties about them are defined and studied. Also all arithmetic operations are performed on them in the usual way. The authors by defining so have made it easier for operations like multiplication, addition, finding determinant and …
Interval Semirings,
2011
University of New Mexico
Interval Semirings, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
In this book the notion of interval semirings are introduced. The authors study and analyse semirings algebraically. Methods are given for the construction of non-associative semirings using loops and interval semirings or interval loops and semirings. Another type of non-associative semirings are introduced using groupoids and interval semirings or interval groupoids and semirings. Examples using integers and modulo integers are given. Also infinite semirings which are semifields are given using interval semigroups and semirings or semigroups and interval semirings or using groups and interval semirings. Interval groups are introduced to construct interval group interval semirings, and properties related with them …
Dsm Super Vector Space Of Refined Labels,
2011
University of New Mexico
Dsm Super Vector Space Of Refined Labels, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
In this book authors for the first time introduce the notion of supermatrices of refined labels. Authors prove super row matrix of refined labels form a group under addition. However super row matrix of refined labels do not form a group under product; it only forms a semigroup under multiplication. In this book super column matrix of refined labels and m × n matrix of refined labels are introduced and studied. We mainly study this to introduce to super vector space of refined labels using matrices. We in this book introduce the notion of semifield of refined labels using which …
Regression Model Fitting With Quadratic Term Leads To Different Conclusion In Economic Analysis Of Washington State Smoking Ban,
2011
Pennsylvania Department of Health, Harrisburg, PA
Regression Model Fitting With Quadratic Term Leads To Different Conclusion In Economic Analysis Of Washington State Smoking Ban, Marshal Ma, Scott Mcclintock
Mathematics Faculty Publications
No abstract provided.
The Mathematical Landscape,
2011
Claremont McKenna College
The Mathematical Landscape, Antonio Collazo
CMC Senior Theses
The intent of this paper is to present the reader will enough information to spark a curiosity in to the subject. By no means is the following a complete formulation of any of the topics covered. I want to give the reader a tour of the mathematical landscape. There are plenty of further details to explore in each section, I have just touched the tip the iceberg. The work is basically in four sections: Numbers, Geometry, Functions, Sets and Logic, which are the basic building blocks of Math. The first sections are a exposition into the mathematical objects and their …
Neutrosophic Interval Bialgebraic Structures,
2011
University of New Mexico
Neutrosophic Interval Bialgebraic Structures, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
In this book the authors for the first time introduce the notion of neutrosophic intervals and study the algebraic structures using them. Concepts like groups and fields using neutrosophic intervals are not possible. Pure neutrosophic intervals and mixed neutrosophic intervals are introduced and by the very structure of the interval one can understand the category to which it belongs. We in this book introduce the notion of pure (mixed) neutrosophic interval bisemigroups or neutrosophic biinterval semigroups. We derive results pertaining to them. The new notion of quasi bisubsemigroups and ideals are introduced. Smarandache interval neutrosophic bisemigroups are also introduced and …
Finite Neutrosophic Complex Numbers,
2011
University of New Mexico
Finite Neutrosophic Complex Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications
In this book for the first time the authors introduce the notion of real neutrosophic complex numbers. Further the new notion of finite complex modulo integers is defined. For every C(Zn) the complex modulo integer iF is such that 2 Fi = n – 1. Several algebraic structures on C(Zn) are introduced and studied. Further the notion of complex neutrosophic modulo integers is introduced. Vector spaces and linear algebras are constructed using these neutrosophic complex modulo integers. This book is organized into 5 chapters. The first chapter introduces real neutrosophic complex numbers. Chapter two introduces the notion of finite complex …
Analysis Of The Dpg Method For The Poisson Equation,
2011
University of Texas at Austin
Analysis Of The Dpg Method For The Poisson Equation, Leszek Demkowicz, Jay Gopalakrishnan
Mathematics and Statistics Faculty Publications and Presentations
We give an error analysis of the recently developed DPG method applied to solve the Poisson equation and a convection-dffusion problem. We prove that the method is quasioptimal. Error estimates in terms of both the mesh size h and the polynomial degree p (for various element shapes) can be derived from our results. Results of extensive numerical experiments are also presented.
A Comparative Analysis Of The Origin And Divine Causation Of Death In Ancient Near Eastern Literature And In The Old Testament,
2011
Andrews University
A Comparative Analysis Of The Origin And Divine Causation Of Death In Ancient Near Eastern Literature And In The Old Testament, Lazarus Castang
Dissertations
The present dissertation attempts a comparative analysis of both the origin of death in the creation accounts and the divine causation of death in the main flood accounts in the ancient Near Eastern (ANE) literature and the Hebrew Old Testament (OT). Both literatures are examined for their implicit or explicit conceptions of the origin and divine causation of death. The origin of death in the ANE literature is located in the Egyptian Osirian myth and the Mesopotamian Enki-Ninmah myth, Enûma Elish, Epic of Gilgamesh, and the Adapa legend. The divine causation of death is studied in the Eridu Genesis, Atra-Hasis …
Holomorphic Liftings From Infinite Dimensional Spaces,
2011
University College Dublin
Holomorphic Liftings From Infinite Dimensional Spaces, Sean Dineen, Milena Venkova
Articles
We obtain a number of positive solutions to a holomorphic lifting problem on a domain in a locally convex space.
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.
