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Articles 1261 - 1290 of 1925
Full-Text Articles in Mathematics
An Extended Novikov-Type Criterion For Local Martingales With Jumps, Alexander Sokol
An Extended Novikov-Type Criterion For Local Martingales With Jumps, Alexander Sokol
Communications on Stochastic Analysis
No abstract provided.
3-D Stochastic Micropolar And Magneto-Micropolar Fluid Systems With Non-Lipschitz Multiplicative Noise, Kazuo Yamazaki
3-D Stochastic Micropolar And Magneto-Micropolar Fluid Systems With Non-Lipschitz Multiplicative Noise, Kazuo Yamazaki
Communications on Stochastic Analysis
No abstract provided.
Stokes Formula On The Space Of Tempered Distributions, S Chaari, F Cipriano, H.-H. Kuo, H Ouerdiane
Stokes Formula On The Space Of Tempered Distributions, S Chaari, F Cipriano, H.-H. Kuo, H Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
A Coarsening Of The Strong Mixing Condition, Brendan K Beare
A Coarsening Of The Strong Mixing Condition, Brendan K Beare
Communications on Stochastic Analysis
No abstract provided.
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
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, A A Dorogovtsev, I. I. Nishchenko
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, Nora Youngs
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”, Michael N. Fried
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, Viktor Blåsjö
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, Gary Stogsdill
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, Chris Fields
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, Michael T. Catalano
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, Said Broumi, Irfan Deli, Florentin Smarandache
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, Said Broumi, Florentin Smarandache
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, Leila Setayeshgar
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, Guglielmo D'Amico
Moments Analysis Of A Markov-Modulated Risk Model With Stochastic Interest Rates, Guglielmo D'Amico
Communications on Stochastic Analysis
No abstract provided.
Monoid Rings And Strongly Two-Generated Ideals, Brittney M. Salt
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.
Quasi-Invariance Of Fermion Processes With J-Hermitian Kernel, Giovanni Luca Torrisi
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, Irina Holmes, Ambar N Sengupta
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, L Coutin, L Decreusefond
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, Allan Fiel, Jorge A León, David Márquez-Carreras
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, Pani W Fernando, Sivaguru S Sritharan
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, Nicolas Privault, Timothy Robin Teng
Hedging In Bond Markets By The Clark-Ocone Formula, Nicolas Privault, Timothy Robin Teng
Communications on Stochastic Analysis
No abstract provided.
High Frequency Data: Modeling Durations Via The Acd And Log Acd Models, Lilian Cheung
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 …
Are Highly Dispersed Variables More Extreme? The Case Of Distributions With Compact Support, Benedict E. Adjogah
Are Highly Dispersed Variables More Extreme? The Case Of Distributions With Compact Support, Benedict E. Adjogah
Electronic Theses and Dissertations
We consider discrete and continuous symmetric random variables X taking values in [0; 1], and thus having expected value 1/2. The main thrust of this investigation is to study the correlation between the variance, Var(X) of X and the value of the expected maximum E(Mn) = E(X1,...,Xn) of n independent and identically distributed random variables X1,X2,...,Xn, each distributed as X. Many special cases are studied, some leading to very interesting alternating sums, and some progress is made towards a general theory.
Analysis Of Resource Allocation Through Game Theory, Brittney L. Benzio
Analysis Of Resource Allocation Through Game Theory, Brittney L. Benzio
Honors College Theses
Game theory presents a set of decision-makers in a model in order to simulate how they will interact according to a set of rules. The game is set up with a set of players, actions, and preferences. The model allows each player to, in some way, be affected by the actions of all players. Nash equilibrium illustrates that the best action for any given player depends on the other players’ actions, and so, each player must make some assumption about what the competition will do. The goal of this project is to model situations of different car companies to improve …
Global Resource Management Of Response Surface Methodology, Michael Chad Miller
Global Resource Management Of Response Surface Methodology, Michael Chad Miller
Dissertations and Theses
Statistical research can be more difficult to plan than other kinds of projects, since the research must adapt as knowledge is gained. This dissertation establishes a formal language and methodology for designing experimental research strategies with limited resources. It is a mathematically rigorous extension of a sequential and adaptive form of statistical research called response surface methodology. It uses sponsor-given information, conditions, and resource constraints to decompose an overall project into individual stages. At each stage, a "parent" decision-maker determines what design of experimentation to do for its stage of research, and adapts to the feedback from that research's potential …
John Horton Conway: A Puzzle Game, Jeremiah Farrell, Karen Farrell
John Horton Conway: A Puzzle Game, Jeremiah Farrell, Karen Farrell
Scholarship and Professional Work - LAS
There are 10 different letters in the name JOHN HORTON CONWAY and we use each of these exactly three times each to form the following ten words: JHC, COW, NYC, JAN, RON, WRY, RAT, JOT, HWT, HAY.
The Itô Calculus And White Noise Theory: A Brief Survey Toward General Stochastic Integration, Hui-Hsiung Kuo
The Itô Calculus And White Noise Theory: A Brief Survey Toward General Stochastic Integration, Hui-Hsiung Kuo
Communications on Stochastic Analysis
No abstract provided.
Stochastic Control Of Itô-Lévy Processes With Applications To Finance, Bernt Øksendal, Agnès Sulem
Stochastic Control Of Itô-Lévy Processes With Applications To Finance, Bernt Øksendal, Agnès Sulem
Communications on Stochastic Analysis
No abstract provided.