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The Long-Range Dependence Of Linear Log-Fractional Stable Motion, Joshua B Levy, Murad S Taqqu 2011 Louisiana State University

The Long-Range Dependence Of Linear Log-Fractional Stable Motion, Joshua B Levy, Murad S Taqqu

Communications on Stochastic Analysis

No abstract provided.


A Review Of Some Methods To Estimate The Tail Of The Distribution Of The Maximum Of A Gaussian Field, Mario Wschebor 2011 Louisiana State University

A Review Of Some Methods To Estimate The Tail Of The Distribution Of The Maximum Of A Gaussian Field, Mario Wschebor

Communications on Stochastic Analysis

No abstract provided.


A Model Of Continuous Time Polymer On The Lattice, David Márquez-Carreras, Carles Rovira, Samy Tindel 2011 Louisiana State University

A Model Of Continuous Time Polymer On The Lattice, David Márquez-Carreras, Carles Rovira, Samy Tindel

Communications on Stochastic Analysis

No abstract provided.


On Local Times Of Anisotropic Gaussian Random Fields, Dongsheng Wu, Yimin Xiao 2011 Louisiana State University

On Local Times Of Anisotropic Gaussian Random Fields, Dongsheng Wu, Yimin Xiao

Communications on Stochastic Analysis

No abstract provided.


Undamped Harmonic Oscillator Driven By Additive Gaussian White Noise: A Statistical Analysis, N Lin, S V Lototsky 2011 Louisiana State University

Undamped Harmonic Oscillator Driven By Additive Gaussian White Noise: A Statistical Analysis, N Lin, S V Lototsky

Communications on Stochastic Analysis

No abstract provided.


Preface, 2011 Louisiana State University

Preface

Communications on Stochastic Analysis

No abstract provided.


Two Triangles With The Same Orthocenter And A Vectorial Proof Of Stevanovic's Theorem, Florentin Smarandache, Ion Patrascu 2011 University of New Mexico

Two Triangles With The Same Orthocenter And A Vectorial Proof Of Stevanovic's Theorem, Florentin Smarandache, Ion Patrascu

Branch Mathematics and Statistics Faculty and Staff Publications

In this article we'll emphasize on two triangles...


Curd, Spencer, 1788-1832 (Sc 966), Manuscripts & Folklife Archives 2011 Western Kentucky University

Curd, Spencer, 1788-1832 (Sc 966), Manuscripts & Folklife Archives

Manuscript Collection Finding Aids

Finding aid and full text (click on "Additional Files" below) for Manuscripts Small Collection 966. Ciphering book (94 p.), focusing chiefly on surveying and navigating rules for solving problems as well as giving specific problems, of Spencer Curd, Logan County, Kentucky, with accompanying genealogical data.


Solutions To Dynamic Equations On Varying Times Scales, Sher B. Chhetri 2011 Marshall University

Solutions To Dynamic Equations On Varying Times Scales, Sher B. Chhetri

Theses, Dissertations and Capstones

Note: The mathematical symbols could not be represented. See the abstract in the thesis for complete text.


Towards Nominal Formal Languages, Alexander Kurz, Tomoyuki Suzuki, Emilio Tuosto 2011 Chapman University

Towards Nominal Formal Languages, Alexander Kurz, Tomoyuki Suzuki, Emilio Tuosto

Engineering Faculty Articles and Research

We introduce formal languages over infinite alphabets where words may contain binders.We define the notions of nominal language, nominal monoid, and nominal regular expressions. Moreover, we extend history-dependent automata (HD-automata) by adding stack, and study the recognisability of nominal languages.


Generic Trace Logics, Christian Kissig, Alexander Kurz 2011 University of Leicester

Generic Trace Logics, Christian Kissig, Alexander Kurz

Engineering Faculty Articles and Research

We combine previous work on coalgebraic logic with the coalgebraic traces semantics of Hasuo, Jacobs, and Sokolova.


Xenakis' Combination Of Music And Mathematics, Janelle Anderson 2011 South Dakota State University

Xenakis' Combination Of Music And Mathematics, Janelle Anderson

The Journal of Undergraduate Research

My interest in using mathematics in music composition stems from the works of the contemporary composer Iannis Xenakis. As a physics and music education major I am able to combine both fields of study for this topic. Although Xenakis wrote many orchestral compositions it is his vocal music that I have concentrated on as I too am a singer. Graphic representation and new music notation are among the methods used to analyze his music. I found that his first choral work was called “Nuits,” which I proceeded to analyze. I also found myself interested in the analysis of a more …


The Jordan Curve Theorem Is Non-Trivial, Fiona Ross, William T. Ross 2011 University of Richmond

The Jordan Curve Theorem Is Non-Trivial, Fiona Ross, William T. Ross

Department of Math & Statistics Faculty Publications

The formal mathematical definition of a Jordan curve (a non-self-intersecting continuous loop in the plane) is so simple that one is often lead to the unimaginative view that a Jordan curve is nothing more than a circle or an ellipse. In this paper, we pursue the theme that a Jordan curve can be quite fantastical in the sense that there are some bizarre properties such a curve might have (jagged at every point, space filling, etc.) or that such a curve can have a difficult to discover inside and outside as promised by the celebrated Jordan Curve Theorem (JCT). We …


Putting The X In Biology: A Review Of The Mathematics Of Life, John Adam 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) …


Women In Mathematics: An Historical Account Of Women's Experiences And Achievement, Kendra D. Huff 2011 Claremont McKenna College

Women In Mathematics: An Historical Account Of Women's Experiences And Achievement, Kendra D. Huff

CMC Senior Theses

For a long time, women have struggled to gain complete acceptance in the mathematics field. The purpose of this paper is to explore the history of women in the field of mathematics, the impact and experiences of current female mathematicians, and the common trends for women in the mathematics field, through literature review and personal interviews. This paper looks at the lives of four famous female mathematicians, as well as female mathematicians in the Claremont Colleges who were interviewed for this paper. Specifically this paper examines the discrimination they faced and how they overcame this discrimination, as well as the …


Relation Liftings On Preorders And Posets, Marta Bílková, Alexander Kurz, Daniela Petrişan, Jiří Velebil 2011 Academy of Sciences of the Czech Republic

Relation Liftings On Preorders And Posets, Marta Bílková, Alexander Kurz, Daniela Petrişan, Jiří Velebil

Engineering Faculty Articles and Research

The category Rel(Set) of sets and relations can be described as a category of spans and as the Kleisli category for the powerset monad. A set-functor can be lifted to a functor on Rel(Set) iff it preserves weak pullbacks. We show that these results extend to the enriched setting, if we replace sets by posets or preorders. Preservation of weak pullbacks becomes preservation of exact lax squares. As an application we present Moss’s coalgebraic over posets.


A New Approach To Algebraic Coding Theory Through The Applications Of Soft Sets, Florentin Smarandache, Mumtaz Ali 2011 University of New Mexico

A New Approach To Algebraic Coding Theory Through The Applications Of Soft Sets, Florentin Smarandache, Mumtaz Ali

Branch Mathematics and Statistics Faculty and Staff Publications

Algebraic codes play a signifcant role in the minimisation of data corruption which caused by defects such as inference, noise channel, crosstalk, and packet loss. In this paper, we introduce soft codes (soft linear codes) through the application of soft sets which is an approximated collection of codes. We also discuss several types of soft codes such as type-1 soft codes, complete soft codes etc. Further, we construct the soft generator matrix and soft parity check matrix for the soft linear codes. Moreover, we develop two techniques for the decoding of soft codes.


Uniform And Partially Uniform Redistribution Rules, Florentin Smarandache, Jean Dezert 2011 University of New Mexico

Uniform And Partially Uniform Redistribution Rules, Florentin Smarandache, Jean Dezert

Branch Mathematics and Statistics Faculty and Staff Publications

This paper introduces two new fusion rules for combining quantitative basic belief assignments. These rules although very simple have not been proposed in literature so far and could serve as useful alternatives because of their low computation cost with respect to the recent advanced Proportional Conflict Redistribution rules developed in the DSmT framework.


Evidence Supporting Measure Of Similarity For Reducing The Complexity In Information Fusion, Xinde Li, Jean Dezert, Florentin Smarandache, Xinhan Huang 2011 University of New Mexico

Evidence Supporting Measure Of Similarity For Reducing The Complexity In Information Fusion, Xinde Li, Jean Dezert, Florentin Smarandache, Xinhan Huang

Branch Mathematics and Statistics Faculty and Staff Publications

This paper proposes a new solution for reducing the number of sources of evidence to be combined in order to diminish the complexity of the fusion process required in some applications where the real-time constraint and strong computing resource limitation are of prime importance. The basic idea consists in selecting, among the whole set of sources of evidence, only the biggest subset of sources which are not too contradicting based on a criterion of Evidence Supporting Measure of Similarity (ESMS) in order to process solely the coherent information received. The ESMS criterion serves actually as a generic tool for outlier …


Contradiction Measures And Specificity Degrees Of Basic Belief Assignments, Florentin Smarandache, Arnaud Martin, Christophe Osswald 2011 University of New Mexico

Contradiction Measures And Specificity Degrees Of Basic Belief Assignments, Florentin Smarandache, Arnaud Martin, Christophe Osswald

Branch Mathematics and Statistics Faculty and Staff Publications

In the theory of belief functions, many measures of uncertainty have been introduced. However, it is not always easy to understand what these measures really try to represent. In this paper, we re-interpret some measures of uncertainty in the theory of belief functions. We present some interests and drawbacks of the existing measures. On these observations, we introduce a measure of contradiction. Therefore, we present some degrees of non-specificity and Bayesianity of a mass. We propose a degree of specificity based on the distance between a mass and its most specific associated mass. We also show how to use the …


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