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Articles 1 - 30 of 591
Full-Text Articles in Mathematics
Unit Rectangle Visibility Graphs, Alice M. Dean, Joanna A. Ellis-Monaghan, Sarah J. Hamilton, Greta Pangborn
Unit Rectangle Visibility Graphs, Alice M. Dean, Joanna A. Ellis-Monaghan, Sarah J. Hamilton, Greta Pangborn
Mathematics, Statistics and Computer Science Faculty Research and Publications
Over the past twenty years, rectangle visibility graphs have generated consider- able interest, in part due to their applicability to VLSI chip design. Here we study unit rectangle visibility graphs, with fixed dimension restrictions more closely modeling the constrained dimensions of gates and other circuit components in computer chip applications. A graph G is a unit rectangle visibility graph (URVG) if its vertices can be represented by closed unit squares in the plane with sides parallel to the axes and pairwise disjoint interiors, in such a way that two vertices are adjacent if and only if there is a non-degenerate …
Casimir Effect In Quantum Physics, Matthew James Urfer
Casimir Effect In Quantum Physics, Matthew James Urfer
Masters Theses
No abstract provided.
On The Convergence Theorems Of The Mcshane Integral For Riesz-Spaces-Valued Functions Defined On Real Line, Muslim Ansori, Yosephus D. Sumanto, Novi Rustiana Dewi
On The Convergence Theorems Of The Mcshane Integral For Riesz-Spaces-Valued Functions Defined On Real Line, Muslim Ansori, Yosephus D. Sumanto, Novi Rustiana Dewi
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
This paper is a partial result of our researchs in the main topic "On The McShane Integral for Riesz-Spaces-valued Functions Defined on the space ". We have constructed McShane integral for Riesz-spaces-valued functions defined on the space by a technique involving double sequences and proved some basic properties which coincides with the McShane Integral for Banach-spaces valued functions defined on real line. Further, we construct some convergence theorems involving uniformly convergence theorems, monotone convergence theorems and Fatou's lemma in the sense of this integral.
Keywords : Riesz Space, McShane Integral
Inversi Dan Titik-Titik Harmonis, Himmawati Puji, Caturiyati Caturiyati
Inversi Dan Titik-Titik Harmonis, Himmawati Puji, Caturiyati Caturiyati
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Given a circle centre O and radius r in , the inversion in this circle is the mapping defined by , where lies on the straight line through O and A, and on the same side of O as A, and . It will be investigated the property of inversion related to four harmonic points. The result is that the cross-ratio of any four coplanar points A, B, C, D is invariant under inversion. Hence, the inversion preserves the four harmonic points.
Keywords : inversion, cross ratio, four harmonic points.
Masalah Norm Minimum Pada Ruang Hilbert Dan Aplikasinya, Karyati Karyati, Dhoriva Urwatul Wutsqa
Masalah Norm Minimum Pada Ruang Hilbert Dan Aplikasinya, Karyati Karyati, Dhoriva Urwatul Wutsqa
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
In this paper, will be discussed about the minimum norm in the pre- Hilbert Space, Hilbert space and its modification, and its application. The results are: Let X be a pre-Hilbert space and M is a sub space of X. If an element is fixed, then : . If there is such that , then is unique. Let H be a Hilbert space and M be a closed sub space of H . If , then there is a unique element such that , . Let X be a Hilbert space , M be a closed sub space of X …
Pendugaan Parameter Regresi Logistik Dengan Jaringan Syaraf Tiruan, Anik Djuraidah
Pendugaan Parameter Regresi Logistik Dengan Jaringan Syaraf Tiruan, Anik Djuraidah
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Logistic regression can be mapped equivalent to artificial neural network (ANN) without hidden layer with logistic as activation function, hence logistic regression is subset of ANN. The result study on binary and poly-chotomous response data show that parameter estimation values of ANN and logistic regression are similar. In comparison with ANN, logistic regression has standard procedure for estimation and testing parameter.
Keyword : logistic regression, generalized linear model, artificial neural network, activation function, hidden layer
Menghitung Nilai Probabilitas Pada Distribusi Normal Multivariate, Jaka Nugraha
Menghitung Nilai Probabilitas Pada Distribusi Normal Multivariate, Jaka Nugraha
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Menghitung nilai probabilitas variabel random yang mempunyai distribusi multivariat normal, merupakan salah satu kendala dalam model probit. Persamaan probabilitas dalam model probit tidak berbentuk persamaan tertutup dan harus diselesaikan secara numerik maupun simulasi. Metode Gezn merupakan metode yang paling efektif untuk menghitung nilai probabilitas normal multivariat. Metode ini banyak diimplementasikan dalam beberapa "package" pada program R. Metode ini juga telah diimplementasikan dalam model multinomial probit yang populer disebut dengan simulator Geweke-Hajivassiliou-Keane (GHK).
Kata kunci : model multinomial probit, faktor Cholesky, random utiliti, deret Taylor
Numerical Approximations Of Differential Equations And Applications In Maple, Joyce Zimmerman
Numerical Approximations Of Differential Equations And Applications In Maple, Joyce Zimmerman
Masters Theses
No abstract provided.
Review Of The Triumph Of Numbers By I. B. Cohen, H L. Vacher
Review Of The Triumph Of Numbers By I. B. Cohen, H L. Vacher
Numeracy
I. Bernard Cohen, The Triumph of Numbers: How Counting Shaped Modern Life. (New York: W.W. Norton & Company, 2005). 209 pp. $24.95 (USA). ISBN 0-393-05769-0.
The premier historian of science ends his career telling how the world has become awash in numbers—“how numbers entered the conduct of life and of government, the understanding of nature, and the analysis of societies.” The stories begin with Kepler and end with Florence Nightingale. In between, major players include Galileo, Harvey, Leeuwenhoek, and Halley; Graunt and Petty; Jefferson and Franklin; Lavoisier, Sinclair, Pinel and Louis; Guerry and Quetelet. The book tells of the spread …
Birds–Dead And Deadly: Why Numeracy Needs To Address Social Construction, Joel Best
Birds–Dead And Deadly: Why Numeracy Needs To Address Social Construction, Joel Best
Numeracy
Sociologists use the term social construction to refer to the processes by which people assign meaning to their world. This paper argues that numeracy education needs to address social construction. In particular, thinking critically about the statistics the news media report regarding social issues requires understanding the competitive nature of the social problems marketplace, and the social forces that allow questionable numbers to receive widespread public attention. Such critiques must incorporate more than assessing how the numbers were calculated; they must consider the social construction of particular statistics. Two recent examples—claims about the number of birds killed flying into windows, …
Development Of Case Stories By Interviewing Students About Their Critical Moments In Science, Math, And Engineering Classes, Vicki V. May, Thomas H. Luxon, Kathy Weaver, Rachel Esselstein, Cynthia Char
Development Of Case Stories By Interviewing Students About Their Critical Moments In Science, Math, And Engineering Classes, Vicki V. May, Thomas H. Luxon, Kathy Weaver, Rachel Esselstein, Cynthia Char
Numeracy
Dartmouth’s Critical Moments project is designed to promote discussions among faculty and graduate students about the retention of students, particularly women and minorities, in science, math, and engineering (SME) disciplines. The first phase of the ongoing project has been the development of four case stories, which are fictionalized composites drawn from surveys and interviews of real Dartmouth students. The surveyed population was 125 students in general chemistry. Of the 77 who agreed to be interviewed, 61 reported having experienced a critical moment – i.e., a positive or negative event or time that had a significant impact on the student’s academic …
Teachers Talk: Pressure Points In The K-8 Mathematics Curriculum, Kim Rheinlander, Dorothy Wallace, Wells Morrison, Daniel Ansari, Donna Coch, B. Venus Williams
Teachers Talk: Pressure Points In The K-8 Mathematics Curriculum, Kim Rheinlander, Dorothy Wallace, Wells Morrison, Daniel Ansari, Donna Coch, B. Venus Williams
Numeracy
Forty K-8 teachers participated in small, in-depth, facilitated discussions about "pressure points" in the curriculum. We define a pressure point as a topic, skill, or concept that is crucial to future mathematics learning but which many or most students do not master to the extent expected at a given grade level. They are issues that persist from one grade level to the next; eventually they impair the ability of students to succeed in technical disciplines. The teachers identified a number of pressure points; we focus on an understanding of place value and "reasonableness" of answer as two examples that were …
Scientifically Based Research In Quantitative Literacy: Guidelines For Building A Knowledge Base, Richard L. Scheaffer
Scientifically Based Research In Quantitative Literacy: Guidelines For Building A Knowledge Base, Richard L. Scheaffer
Numeracy
Research in quantitative literacy (QL) is in its infancy, so now is the time to begin a regimen for healthy growth into adulthood. As a new discipline still defining itself, QL has the opportunity to build a sound infrastructure for accumulating a solid body of interconnected research that will serve the discipline well in years to come. To that end, much can be learned from recent studies of the weaknesses of mathematics education research and recommendations on how to overcome them. Mathematics education lacks a strong research foundation, one that is scientific, cumulative, interconnected, and intertwined with teaching practice. These …
Evolution Of Numeracy And The National Numeracy Network, Bernard L. Madison, Lynn Arthur Steen
Evolution Of Numeracy And The National Numeracy Network, Bernard L. Madison, Lynn Arthur Steen
Numeracy
The National Numeracy Network grew from heightened awareness of the complex and sophisticated nature of quantitative literacy and the resulting need for interdisciplinary attention to education for quantitative literacy in schools and colleges. This complexity and sophistication applies especially to the US where it is fueled by an agile economy and the needs of a democratic society. This paper describes the environment surrounding the National Numeracy Network’s establishment, some of its activities, and some complementary and synergistic actions by other professional societies. The paper concludes with a sample of quantitative literacy programs in colleges and universities
The Scope Of Numeracy, H L. Vacher, Dorothy Wallace
Existence And Nonexistence Results For A Class Of Quasilinear Elliptic Systems, Said El Manouni
Existence And Nonexistence Results For A Class Of Quasilinear Elliptic Systems, Said El Manouni
Mathematics and System Engineering Faculty Publications
Using variational methods, we prove the existence and nonexistence of positive solutions for a class of -Laplacian systems with a parameter.
Chromatic Number Of The Alphabet Overlap Graph, G(2, K , K-2)., Jerry Brent Farley
Chromatic Number Of The Alphabet Overlap Graph, G(2, K , K-2)., Jerry Brent Farley
Electronic Theses and Dissertations
A graph G(a, k, t) is called an alphabet overlap graph where a, k, and t are positive integers such that 0 ≤ t < k and the vertex set V of G is defined as, V = {v : v = (v1v2...vk); vi ∊ {1, 2, ..., a}, (1 ≤ i ≤ k)}. That is, each vertex, v, is a word of length k over an alphabet of size a. There exists an edge between two vertices u, …
Decomposition, Packings And Coverings Of Complete Digraphs With A Transitive-Triple And A Pendant Arc., Janice Gail Lewenczuk
Decomposition, Packings And Coverings Of Complete Digraphs With A Transitive-Triple And A Pendant Arc., Janice Gail Lewenczuk
Electronic Theses and Dissertations
In the study of design theory, there are eight orientations of the complete graph on three vertices with a pendant edge, K3∪{e}. Two of these are the 3-circuit with a pendant arc and the other six are transitive triples with a pendant arc. Necessary and sufficient conditions are given for decompositions, packings and coverings of the complete digraph with each of the six transitive triples with a pendant arc.
Packings And Coverings Of Various Complete Digraphs With The Orientations Of A 4-Cycle., Melody Elaine Cooper
Packings And Coverings Of Various Complete Digraphs With The Orientations Of A 4-Cycle., Melody Elaine Cooper
Electronic Theses and Dissertations
There are four orientations of cycles on four vertices. Necessary and sufficient conditions are given for covering complete directed digraphs Dv, packing and covering complete bipartite digraphs, Dm,n, and packing and covering the complete digraph on v vertices with hole of size w, D(v,w), with three of the orientations of a 4-cycle, including C4, X, and Y.
Existence Of Positive Definite Noncoercive Sums Of Squares, Gregory C. Verchota
Existence Of Positive Definite Noncoercive Sums Of Squares, Gregory C. Verchota
Mathematics - All Scholarship
Positive definite forms
f 2 R[x1, . . . , xn] which are sums of squares of forms of R[x1, . . . , xn] are constructed to have the additional property that the members of any collection of forms whose squares sum to f must share a nontrivial complex root in Cn.
Numerics Of Stochastic Systems With Memory (Mittag-Leffler Institute Seminar), Salah-Eldin A. Mohammed
Numerics Of Stochastic Systems With Memory (Mittag-Leffler Institute Seminar), Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
No abstract provided.
Mathematically Modeling Pcr: An Asymptotic Approximation With Potential For Optimization, Martha J. Garlick
Mathematically Modeling Pcr: An Asymptotic Approximation With Potential For Optimization, Martha J. Garlick
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
A mathematical model for PCR (Polymerase Chain Reaction) is developed using the law of mass action. Differential equations are written from the chemical equations, preserving the detail of the complementary DNA single strand being extended one bas e pair at a time. The equations for the annealing stage are solved analytically. The method of multiple scales is used to approximate solutions for the extension stage. A map is then developed from the solutions to simulate PCR. The advantage of this model is the ability to use the map to optimize the process. Our results suggest that dynamically optimizing the extension …
Portfolio Optimization With Consumption In A Fractional Black-Scholes Market, Yalçin Sarol, Frederi G Viens, Tao Zhang
Portfolio Optimization With Consumption In A Fractional Black-Scholes Market, Yalçin Sarol, Frederi G Viens, Tao Zhang
Communications on Stochastic Analysis
No abstract provided.
Local Theorems Related To Lévy-Type Branching Mechanism, Vladimir Vinogradov
Local Theorems Related To Lévy-Type Branching Mechanism, Vladimir Vinogradov
Communications on Stochastic Analysis
No abstract provided.
Markov Semigroups And Estimating Functions, With Applications To Some Financial Models, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli
Markov Semigroups And Estimating Functions, With Applications To Some Financial Models, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli
Communications on Stochastic Analysis
No abstract provided.
Functional Limit Theorems For Trace Processes In A Dyson Brownian Motion, Victor Pérez-Abreu, Constantin Tudor
Functional Limit Theorems For Trace Processes In A Dyson Brownian Motion, Victor Pérez-Abreu, Constantin Tudor
Communications on Stochastic Analysis
No abstract provided.
A Random Change Of Variables And Applications To The Stochastic Porous Medium Equation With Multiplicative Time Noise, S V Lototsky
A Random Change Of Variables And Applications To The Stochastic Porous Medium Equation With Multiplicative Time Noise, S V Lototsky
Communications on Stochastic Analysis
No abstract provided.
Almost Any State Of Any Amplitude Markov Chain Is Recurrent, Luigi Accardi, Hiromichi Ohno
Almost Any State Of Any Amplitude Markov Chain Is Recurrent, Luigi Accardi, Hiromichi Ohno
Communications on Stochastic Analysis
No abstract provided.
The Characterization Of A Class Of Probability Measures By Multiplicative Renormalization, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli
The Characterization Of A Class Of Probability Measures By Multiplicative Renormalization, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli
Communications on Stochastic Analysis
No abstract provided.
Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System, P Sundar, Hong Yin
Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System, P Sundar, Hong Yin
Communications on Stochastic Analysis
No abstract provided.