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Articles 1 - 30 of 109
Full-Text Articles in Other Mathematics
On The Indispensable Premises Of The Indispensability Argument, Andrea Sereni, Marco Panza
On The Indispensable Premises Of The Indispensability Argument, Andrea Sereni, Marco Panza
MPP Published Research
We identify four different minimal versions of the indispensability argument, falling under four different varieties: an epistemic argument for semantic realism, an epistemic argument for platonism and a non-epistemic version of both. We argue that most current formulations of the argument can be reconstructed by building upon the suggested minimal versions. Part of our discussion relies on a clarification of the notion of (in)dispensability as relational in character. We then present some substantive consequences of our inquiry for the philosophical significance of the indispensability argument, the most relevant of which being that both naturalism and confirmational holism can be dispensed …
Absolute Continuity Under Time Shift For Ornstein-Uhlenbeck Type Processes With Delay Or Anticipation, Jörg-Uwe Löbus
Absolute Continuity Under Time Shift For Ornstein-Uhlenbeck Type Processes With Delay Or Anticipation, Jörg-Uwe Löbus
Communications on Stochastic Analysis
No abstract provided.
An Epsilon-Nash Equilibrium For Non-Linear Markov Games Of Mean-Field-Type On Finite Spaces, Rani Basna, Astrid Hilbert, Vassili N Kolokoltsov
An Epsilon-Nash Equilibrium For Non-Linear Markov Games Of Mean-Field-Type On Finite Spaces, Rani Basna, Astrid Hilbert, Vassili N Kolokoltsov
Communications on Stochastic Analysis
No abstract provided.
Large Deviations Estimates For Some White Noise Distributions, Sonia Chaari, Achref Majid, Habib Ouerdiane
Large Deviations Estimates For Some White Noise Distributions, Sonia Chaari, Achref Majid, Habib Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
Parameter Estimation From Occupation Times—A White Noise Approach, Wolfgang Bock, Thomas Götz, Martin Grothaus, Uditha Prabhath Liyanage
Parameter Estimation From Occupation Times—A White Noise Approach, Wolfgang Bock, Thomas Götz, Martin Grothaus, Uditha Prabhath Liyanage
Communications on Stochastic Analysis
No abstract provided.
Metastable Behavior For Conservative Dynamics On A Finite Box With Open Boundary, Taizo Chiyonobu, Yusuke Takagi
Metastable Behavior For Conservative Dynamics On A Finite Box With Open Boundary, Taizo Chiyonobu, Yusuke Takagi
Communications on Stochastic Analysis
No abstract provided.
Absence Of Energy Level Crossing For The Ground State Energy Of The Rabi Model, Masao Hirokawa, Fumio Hiroshima
Absence Of Energy Level Crossing For The Ground State Energy Of The Rabi Model, Masao Hirokawa, Fumio Hiroshima
Communications on Stochastic Analysis
No abstract provided.
An Entropy Approach To Bose-Einstein Condensation, Francesco De Vecchi, Stefania Ugolini
An Entropy Approach To Bose-Einstein Condensation, Francesco De Vecchi, Stefania Ugolini
Communications on Stochastic Analysis
No abstract provided.
Higher Powers Of Quantum White Noise Derivatives, Aymen Ettaieb, Habib Ouerdiane, Hafedh Rguigui
Higher Powers Of Quantum White Noise Derivatives, Aymen Ettaieb, Habib Ouerdiane, Hafedh Rguigui
Communications on Stochastic Analysis
No abstract provided.
The Structure And Properties Of Clique Graphs Of Regular Graphs, Jan Burmeister
The Structure And Properties Of Clique Graphs Of Regular Graphs, Jan Burmeister
Master's Theses
In the following thesis, the structure and properties of G and its clique graph clt (G) are analyzed for graphs G that are non-complete, regular with degree δ , and where every edge of G is contained in a t -clique. In a clique graph clt (G), all cliques of order t of the original graph G become the clique graph’s vertices, and the vertices of the clique graph are adjacent if and only if the corresponding cliques in the original graph have at least 1 vertex in common. This thesis mainly investigates if …
Radio Number For Fourth Power Paths, Linda V. Alegria
Radio Number For Fourth Power Paths, Linda V. Alegria
Electronic Theses, Projects, and Dissertations
A path on n vertices, denoted by Pn, is a simple graph whose vertices can be ordered so that two vertices are adjacent if and only if they are consecutive in the order. A fourth power path, Pn4, is obtained from Pn by adding edges between any two vertices, u and v, whose distance in Pn, denoted by dPn(u,v), is less than or equal to four. The diameter of a graph G, denoted diam(G) is the greatest distance between any two distinct vertices of G. A radio labeling of a graph G is a function f that assigns to each …
A Game-Theoretic Analysis Of The Nuclear Non-Proliferation Treaty, Peter Revesz
A Game-Theoretic Analysis Of The Nuclear Non-Proliferation Treaty, Peter Revesz
CSE Conference and Workshop Papers
Although nuclear non-proliferation is an almost universal human desire, in practice, the negotiated treaties appear unable to prevent the steady growth of the number of states that have nuclear weapons. We propose a computational model for understanding the complex issues behind nuclear arms negotiations, the motivations of various states to enter a nuclear weapons program and the ways to diffuse crisis situations.
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.
Powers Of An Infinite Dimensional Brownian Motion Associated With The Product Of Distributions, Kimiaki Saitô, Takashi Shimada
Powers Of An Infinite Dimensional Brownian Motion Associated With The Product Of Distributions, Kimiaki Saitô, Takashi Shimada
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.
Control Of A Finite Dam With A Lévy Input, Mohamed Abdel-Hameed
Control Of A Finite Dam With A Lévy Input, Mohamed Abdel-Hameed
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.
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.
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.
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.
Kazhdan-Lusztig Cells In Planar Hyperbolic Coxeter Groups And Automata, Mikhail V. Belolipetsky, Paul E. Gunnells, Richard A. Scott
Kazhdan-Lusztig Cells In Planar Hyperbolic Coxeter Groups And Automata, Mikhail V. Belolipetsky, Paul E. Gunnells, Richard A. Scott
Paul Gunnells
Let C be a one- or two-sided Kazhdan–Lusztig cell in a Coxeter group (W, S), and let Red(C) be the set of reduced expressions of all w ∈ C, regarded as a language over the alphabet S. Casselman has conjectured that Red(C) is regular. In this paper, we give a conjectural description of the cells when W is the group corresponding to a hyperbolic polygon, and show that our conjectures imply Casselman's.
Examining The Process Of Identification In The Mathematics Classroom And The Role Of Students’ Academic Communities, Richard J. Robinson
Examining The Process Of Identification In The Mathematics Classroom And The Role Of Students’ Academic Communities, Richard J. Robinson
Doctoral Dissertations
The primary purpose of this research was to provide insight into the identities students develop as they interact in a high school mathematics classroom. A normative divide developed which eventually split the classroom into two distinct academic factions: those who resisted the emerging local definition of what it meant to do mathematics and those who did not resist (i.e. complied or identified). A secondary purpose of this research was to understand the role of students’ academic communities in mathematics identity development. Student narratives helped uncover mathematical spaces outside the classroom that each developed their own unique definition of what it …
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.