Global Existence And Finite Time Blow-Up In A Class Of Stochastic Nonlinear Wave Equations,
2014
Louisiana State University
Global Existence And Finite Time Blow-Up In A Class Of Stochastic Nonlinear Wave Equations, Rana D Parshad, Matthew A Beauregard, Aslan Kasimov, Belkacem Said-Houari
Communications on Stochastic Analysis
No abstract provided.
An Analysis Of Stochastic Flows,
2014
Louisiana State University
An Analysis Of Stochastic Flows, A A Dorogovtsev, I. I. Nishchenko
Communications on Stochastic Analysis
No abstract provided.
The Neural Ring: Using Algebraic Geometry To Analyze Neural Codes,
2014
University of Nebraska-Lincoln
The Neural Ring: Using Algebraic Geometry To Analyze Neural Codes, Nora Youngs
Department of Mathematics: Dissertations, Theses, and Student Research
Neurons in the brain represent external stimuli via neural codes. These codes often arise from stimulus-response maps, associating to each neuron a convex receptive field. An important problem confronted by the brain is to infer properties of a represented stimulus space without knowledge of the receptive fields, using only the intrinsic structure of the neural code. How does the brain do this? To address this question, it is important to determine what stimulus space features can - in principle - be extracted from neural codes. This motivates us to define the neural ring and a related neural ideal, algebraic objects …
The Discipline Of History And The “Modern Consensus In The Historiography Of Mathematics”,
2014
Ben Gurion University of the Negev
The Discipline Of History And The “Modern Consensus In The Historiography Of Mathematics”, Michael N. Fried
Journal of Humanistic Mathematics
Teachers and students of mathematics often view history of mathematics as just mathematics as they know it, but in another form. This view is based on a misunderstanding of the nature of history of mathematics and the kind of knowledge it attempts to acquire. Unfortunately, it can also lead to a deep sense of disappointment with the history of mathematics itself, and, ultimately, a misunderstanding of the historical nature of mathematics. This kind of misunderstanding and the disappointment following from it--both raised to the level of resentment--run through the paper "A Critique of the Modern Consensus in the Historiography of …
A Critique Of The Modern Consensus In The Historiography Of Mathematics,
2014
Utrecht University
A Critique Of The Modern Consensus In The Historiography Of Mathematics, Viktor Blåsjö
Journal of Humanistic Mathematics
The history of mathematics is nowadays practiced primarily by professional historians rather than mathematicians, as was the norm a few decades ago. There is a strong consensus among these historians that the old-fashioned style of history is “obsolete,” and that “the gains in historical understanding are incomparably greater” in the more “historically sensitive” works of today. I maintain that this self-congratulatory attitude is ill-founded, and that the alleged superiority of modern historiographical standards ultimately rests on a dubious redefinition of the purpose of history rather than intrinsic merit.
Being Reasonable: Using Brainteasers To Develop Reasoning Ability In Humanistic Mathematics Courses,
2014
Prescott College
Being Reasonable: Using Brainteasers To Develop Reasoning Ability In Humanistic Mathematics Courses, Gary Stogsdill
Journal of Humanistic Mathematics
Developing reasoning ability is often cited as one of the principal justifications of a mathematics requirement for liberal arts undergraduates. Humanistic math courses have become recognized as a paradigm for liberal arts mathematics, but such courses may not provide the opportunity to develop reasoning ability. The author describes his procedure for using brainteasers to promote reasoning in a humanistic math course for liberal arts undergraduates.
Some Effects Of The Human Genome Project On The Erdős Collaboration Graph,
2014
Retired
Some Effects Of The Human Genome Project On The Erdős Collaboration Graph, Chris Fields
Journal of Humanistic Mathematics
The Human Genome Project introduced large-scale collaborations involving dozens to hundreds of scientists into biology. It also created a pressing need to solve discrete mathematics problems involving tens of thousands of elements. In this paper, we use minimal path lengths in the Erdős Collaboration Graph between prominent individual researchers as a measure of the distance between disciplines, and we show that the Human Genome Project brought laboratory biology as a whole closer to mathematics. We also define a novel graph reduction method and a metric that emphasizes the robustness of collaborative connections between researchers; these can facilitate the analysis of …
Review Of The Joy Of X: A Guided Tour Of Math, From One To Infinity By Steven Strogatz,
2014
Dakota Wesleyan University
Review Of The Joy Of X: A Guided Tour Of Math, From One To Infinity By Steven Strogatz, Michael T. Catalano
Numeracy
Strogatz, Steven. The Joy of x: A Guided Tour of Math, from One to Infinity, (New York, NY, Houghton Mifflin Harcourt, 2012). 316 pp. ISBN 978-0-547-51765-0
The Joy of x: A Guided Tour of Math, from One to Infinity, by Steven Strogatz, is an engaging and example-filled argument for mathematics as a valuable and enjoyable activity. The thirty chapters are divided into six parts, entitled Numbers, Relationships, Shapes, Change, Data, and Frontiers. The discussion ranges from intuitive explanations of basic concepts such as place value, the four arithmetic operations, percentage increase and decrease, and solving equations, to “higher” levels …
Distance And Similarity Measures Of Interval Neutrosophic Soft Sets,
2014
University of New Mexico
Distance And Similarity Measures Of Interval Neutrosophic Soft Sets, Said Broumi, Irfan Deli, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper several distance and similarity measures of interval neutrosophic soft sets are introduced. The measures are examined based on the geometric model, the set theoretic approach and the matching function. Finally, we have successfully shown an application of this similarity measure of interval neutrosophic soft sets.
New Distance And Similarity Measures Of Interval Neutrosophic Sets,
2014
University of New Mexico
New Distance And Similarity Measures Of Interval Neutrosophic Sets, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper we proposed a new distance and several similarity measures between interval neutrosophic sets.
Large Deviations For A Stochastic Burgers' Equation,
2014
Louisiana State University
Large Deviations For A Stochastic Burgers' Equation, Leila Setayeshgar
Communications on Stochastic Analysis
No abstract provided.
Moments Analysis Of A Markov-Modulated Risk Model With Stochastic Interest Rates,
2014
Louisiana State University
Moments Analysis Of A Markov-Modulated Risk Model With Stochastic Interest Rates, Guglielmo D'Amico
Communications on Stochastic Analysis
No abstract provided.
Quasi-Invariance Of Fermion Processes With J-Hermitian Kernel,
2014
Louisiana State University
Quasi-Invariance Of Fermion Processes With J-Hermitian Kernel, Giovanni Luca Torrisi
Communications on Stochastic Analysis
No abstract provided.
The Gaussian Radon Transform In Classical Wiener Space,
2014
Louisiana State University
The Gaussian Radon Transform In Classical Wiener Space, Irina Holmes, Ambar N Sengupta
Communications on Stochastic Analysis
No abstract provided.
Higher Order Approximations Via Stein's Method,
2014
Louisiana State University
Higher Order Approximations Via Stein's Method, L Coutin, L Decreusefond
Communications on Stochastic Analysis
No abstract provided.
Stability For Some Linear Stochastic Fractional Systems,
2014
Louisiana State University
Stability For Some Linear Stochastic Fractional Systems, Allan Fiel, Jorge A León, David Márquez-Carreras
Communications on Stochastic Analysis
No abstract provided.
Non-Detection Probability Of Diffusing Targets In The Presence Of A Moving Searcher,
2014
Louisiana State University
Non-Detection Probability Of Diffusing Targets In The Presence Of A Moving Searcher, Pani W Fernando, Sivaguru S Sritharan
Communications on Stochastic Analysis
No abstract provided.
Hedging In Bond Markets By The Clark-Ocone Formula,
2014
Louisiana State University
Hedging In Bond Markets By The Clark-Ocone Formula, Nicolas Privault, Timothy Robin Teng
Communications on Stochastic Analysis
No abstract provided.
Monoid Rings And Strongly Two-Generated Ideals,
2014
California State University - San Bernardino
Monoid Rings And Strongly Two-Generated Ideals, Brittney M. Salt
Electronic Theses, Projects, and Dissertations
This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this? Two cases are considered here: the zero-dimensional case and the one-dimensional case for monoid rings. Each case is looked at to determine if monoid rings that are not PIRs but are two-generated have the strong two-generator property. Full results are given in the zero-dimensional case, however only partial results have been found for the one-dimensional case.
High Frequency Data: Modeling Durations Via The Acd And Log Acd Models,
2014
University of Connecticut - Storrs
High Frequency Data: Modeling Durations Via The Acd And Log Acd Models, Lilian Cheung
Honors Scholar Theses
This thesis proposes a method of finding initial parameter estimates in the Log ACD1 model for use in recursive estimation. The recursive estimating equations method is applied to the Log ACD1 model to find recursive estimates for the unknown parameters in the model. A literature review is provided on the ACD and Log ACD models, and on the theory of estimating equations. Monte Carlo simulations indicate that the proposed method of finding initial parameter estimates is viable. The parameter estimation process is demonstrated by fitting an ACD model and a Log ACD model to a set of IBM …
