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Articles 421 - 450 of 841
Full-Text Articles in Mathematics
Groups Of Graphs Of Groups, David P. Byrne, Matthew J. Donner, Thomas Q. Sibley
Groups Of Graphs Of Groups, David P. Byrne, Matthew J. Donner, Thomas Q. Sibley
Mathematics Faculty Publications
We classify all groups of color preserving automorphisms (isometries) of edge colored complete graphs derived from finite groups.
Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio
Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio
Professional Learning Day
Many topics that fall under the umbrella of Discrete Mathematics cut across the traditional high school curriculum areas of algebra, geometry, and pre-calculus. Come try some classroom-ready hands-on Discrete Mathematics activities that illustrate the true interconnectedness of mathematics.
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
Forum, 2012 Spring
Almost no one is happy with the state of America's mathematics education. I examine the mathematics textbooks elementary education majors commonly use in college to determine what effect this might be having on their future elementary school students. In this Thursday Forum, I report on what I found in these textbooks---and why I do not like them. I then supply an alternative vision that would better serve our elementary school students.
Temporal Topos And U-Singularities, Goro C. Kato
Temporal Topos And U-Singularities, Goro C. Kato
Mathematics
Several papers and books by C. Isham, C.Isham-A. Doering, F. Van Oystaeyen, A.Mallios-I. Raptis, C. Mulvey, and Guts and Grinkevich, have been published on the methods of categories and sheaves to study quantum gravity. Needless to say, there are well-written treatises on quantum gravity whose methods are non-categorical and non-sheaf theoretic. This paper may be one of the first papers explaining the methods of sheaves with minimally required background that retains experimental applications. Temporal topos (t-topos) is related to the topos approach to quantum gravity being developed by Prof. Chris Isham of the Oxford-Imperial research group (with its foundations inthe …
Undergraduate Students' Self-Reported Use Of Mathematics Textbooks, Aaron Weinberg, Emilie Wiesner, Bret Benesh, Timothy Boester
Undergraduate Students' Self-Reported Use Of Mathematics Textbooks, Aaron Weinberg, Emilie Wiesner, Bret Benesh, Timothy Boester
Mathematics Faculty Publications
Textbooks play an important role in undergraduate mathematics courses and have the potential to impact student learning. However, there have been few studies that describe students' textbook use in detail. In this study, 1156 undergraduate students in introductory mathematics classes were surveyed, and asked to describe how they used their textbook. The results indicate that students tend to use examples, instead of the expository text, to build their mathematical understanding, which instructors may view as problematic. This way of using the textbook may be the result of the textbook structure itself, as well as students' beliefs about reading and the …
A Multidimensional Ruin Problem, S Ramasubramanian
A Multidimensional Ruin Problem, S Ramasubramanian
Communications on Stochastic Analysis
No abstract provided.
Roots Of States, B V Rajarama Bhat
Roots Of States, B V Rajarama Bhat
Communications on Stochastic Analysis
No abstract provided.
Lévy Processes Through Time Shift On Oscillator Weyl Algebra, Luigi Accardi, Habib Ouerdiane, Habib Rebei
Lévy Processes Through Time Shift On Oscillator Weyl Algebra, Luigi Accardi, Habib Ouerdiane, Habib Rebei
Communications on Stochastic Analysis
No abstract provided.
A Vacuum-Adapted Approach To Quantum Feynman-Kac Formulae, Alexander C R Belton, J Martin Lindsay, Adam G Skalski
A Vacuum-Adapted Approach To Quantum Feynman-Kac Formulae, Alexander C R Belton, J Martin Lindsay, Adam G Skalski
Communications on Stochastic Analysis
No abstract provided.
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space, V P Belavkin, M F Brown
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space, V P Belavkin, M F Brown
Communications on Stochastic Analysis
No abstract provided.
The Early Years Of Quantum Stochastic Calculus, R L Hudson
The Early Years Of Quantum Stochastic Calculus, R L Hudson
Communications on Stochastic Analysis
No abstract provided.
Professional Learning Community Impacts On Student Achievement In Middle School Mathematics, Jessica Stuewe
Professional Learning Community Impacts On Student Achievement In Middle School Mathematics, Jessica Stuewe
Mathematics Graduate Theses
The development of professional learning communities in middle level education is a relatively new and trendy concept sweeping the nation. School professional development committees are training large numbers of teachers through conferences, book studies and online webinars on how to collaborate to improve student learning. This research will explore the impact of the first year of implementation of a departmental professional learning community (PLC) on student achievement at the middle school level in the content area of mathematics. Student standardized test scores from 2010 and 2011 will be compared as a measure of success of the PLC. Teacher surveys are …
Large Deviations For Random Matrices, Sourav Chatterjee, S R S Varadhan
Large Deviations For Random Matrices, Sourav Chatterjee, S R S Varadhan
Communications on Stochastic Analysis
No abstract provided.
Some Problems Involving Airy Functions, V S Varadarajan
Some Problems Involving Airy Functions, V S Varadarajan
Communications on Stochastic Analysis
No abstract provided.
An Interpolating Family Of Means, Rajendra Bhatia, Ren-Cang Li
An Interpolating Family Of Means, Rajendra Bhatia, Ren-Cang Li
Communications on Stochastic Analysis
No abstract provided.
Hilbert Von Neumann Modules, Panchugopal Bikram, Kunal Mukherjee, R. Srinivasan, V S Sunder
Hilbert Von Neumann Modules, Panchugopal Bikram, Kunal Mukherjee, R. Srinivasan, V S Sunder
Communications on Stochastic Analysis
No abstract provided.
Bell's Inequality Violations: Relation With De Finetti's Coherence Principle And Inferential Analysis Of Experimental Data, Franco Fagnola, Matteo Gregoratti
Bell's Inequality Violations: Relation With De Finetti's Coherence Principle And Inferential Analysis Of Experimental Data, Franco Fagnola, Matteo Gregoratti
Communications on Stochastic Analysis
No abstract provided.
A Cautionary Note On Generalized Linear Models For Covariance Of Unbalanced Longitudinal Data, Jianhua Z. Huang, Min Chen, Mehdi Maadooliat, Mohsen Pourahmadi
A Cautionary Note On Generalized Linear Models For Covariance Of Unbalanced Longitudinal Data, Jianhua Z. Huang, Min Chen, Mehdi Maadooliat, Mohsen Pourahmadi
Mathematics, Statistics and Computer Science Faculty Research and Publications
Missing data in longitudinal studies can create enormous challenges in data analysis when coupled with the positive-definiteness constraint on a covariance matrix. For complete balanced data, the Cholesky decomposition of a covariance matrix makes it possible to remove the positive-definiteness constraint and use a generalized linear model setup to jointly model the mean and covariance using covariates (Pourahmadi, 2000). However, this approach may not be directly applicable when the longitudinal data are unbalanced, as coherent regression models for the dependence across all times and subjects may not exist. Within the existing generalized linear model framework, we show how to overcome …
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
Forum Lectures
Almost no one is happy with the state of America's mathematics education. I examine the mathematics textbooks elementary education majors commonly use in college to determine what effect this might be having on their future elementary school students. In this Thursday Forum, I report on what I found in these textbooks---and why I do not like them. I then supply an alternative vision that would better serve our elementary school students.
A Common Framework For Restriction Semigroups And Regular *-Semigroups, Peter R. Jones
A Common Framework For Restriction Semigroups And Regular *-Semigroups, Peter R. Jones
Mathematics, Statistics and Computer Science Faculty Research and Publications
Left restriction semigroups have appeared at the convergence of several flows of research, including the theories of abstract semigroups, of partial mappings, of closure operations and even in logic. For instance, they model unary semigroups of partial mappings on a set, where the unary operation takes a map to the identity map on its domain. This perspective leads naturally to dual and two-sided versions of the restriction property. From a varietal perspective, these classes of semigroups–more generally, the corresponding classes of Ehresmann semigroups–derive from reducts of inverse semigroups, now taking a to a+=aa−1 (or, dually, …
On Soliton Interactions For A Hierarchy Of Generalized Heisenberg Ferromagnetic Models On Su(3)/S(U(1) $\Times$ U(2)) Symmetric Space, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, Tihomir Valchev
On Soliton Interactions For A Hierarchy Of Generalized Heisenberg Ferromagnetic Models On Su(3)/S(U(1) $\Times$ U(2)) Symmetric Space, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, Tihomir Valchev
Articles
We consider an integrable hierarchy of nonlinear evolution equations (NLEE) related to linear bundle Lax operator L. The Lax representation is Z2 \times Z2 reduced and is naturally associated with the symmetric space SU(3)/S(U(1) \times U(2)). The simplest nontrivial equation in the hierarchy is a generalization of Heisenberg ferromagnetic model. We construct the N-soliton solutions for an arbitrary member of the hierarchy by using the Zakharov-Shabat dressing method with an appropriately chosen dressing factor. Two types of soliton solutions: quadruplet and doublet solitons are found. The one-soliton solutions of NLEEs with even and odd dispersion laws have different properties. In …
Improving Education Of Mathematics Majors, Goran Lesaja
Improving Education Of Mathematics Majors, Goran Lesaja
Mathematical Sciences: Faculty Presentations (1991-2022)
In this talk we will explore and discuss different ways of improving instruction of upper level mathematics classes. Several case studies will be presented, including in Calculus and Operations Research courses. We will also discuss the importance of extracurricular activities in education of mathematics majors. In particular, we will describe activities related to undergraduate mathematics competitions.
Ball Remotality In Banach Spaces And Related Topics., Tanmoy Paul
Ball Remotality In Banach Spaces And Related Topics., Tanmoy Paul
Doctoral Theses
In this project we aim to study Ball Remotality and densely Ball Remotality of subspaces in Banach spaces. We study this property in many classical spaces of type c0, c,\\â„“p and C(K) where K is a compact Hausdorff space. The said problem also discussed for Banach spaces when considered as a subspace in its bidual. It is observed M-ideals in C(K) are densely ball remotal. It is shown that a particular type of M-ideal in A(K) where K is a Choquet simplex is densely ball remotal.
Some Results On Cryptanalysis Of Rsa And Factorization., Santanu Sarkar Dr.
Some Results On Cryptanalysis Of Rsa And Factorization., Santanu Sarkar Dr.
Doctoral Theses
In this thesis, we propose some new results in Cryptanalysis of RSA and related Factorization problems. Till date, the best known algorithm to solve the Integer Factorization problem is the Number Field Sieve, which has a runtime greater than exp(log1/3 N) for factoring an integer N. However, if one obtains certain information about the RSA parameters, there are algorithms which can factor the RSA modulus N = pq quite efficiently. The intention of this thesis is to identify such weaknesses of the RSA cryptosystem and its variants. Further we study results related to factorization.In Africacrypt 2008, Nitaj presented a class …
Variational Models Of Network Formation And Ion Transport: Applications To Perfluorosulfonate Ionomer Membranes, Nir Gavish, Jaylan Jones, Zhengfu Xu, Andrew Christlieb, Keith Promislow
Variational Models Of Network Formation And Ion Transport: Applications To Perfluorosulfonate Ionomer Membranes, Nir Gavish, Jaylan Jones, Zhengfu Xu, Andrew Christlieb, Keith Promislow
Michigan Tech Publications, Part 1
We present the functionalized Cahn-Hilliard (FCH) energy, a continuum characterization of interfacial energy whose minimizers describe the network morphology of solvated functionalized polymer membranes. With a small set of parameters the FCH characterizes bilayer, pore-like, and micelle network structures. The gradient flows derived from the FCH describe the interactions between these structures, including the merging and pinch-off of endcaps and formation of junctions central to the generation of network morphologies. We couple the FCH gradient flow to a model of ionic transport which incorporates entropic effects to localize counter-ions, yielding a flow which dissipates a total free energy, and an …
Quantum Mechanics Entropy And A Quantum Version Of The H-Theorem, Paul Bracken
Quantum Mechanics Entropy And A Quantum Version Of The H-Theorem, Paul Bracken
School of Mathematical & Statistical Sciences Faculty Publications
No abstract provided.
Modeling Spontaneous Three-Dimensional Polymerization, Zhitong Zhao
Modeling Spontaneous Three-Dimensional Polymerization, Zhitong Zhao
Dissertations, Master's Theses and Master's Reports - Open
For human beings, the origin of life has always been an interesting and mysterious matter, particularly how life arose from inorganic matter through natural processes. Polymerization is always involved in such processes. In this paper we built what we refer to as ideal and physical models to simulate spontaneous polymerization based on certain physical principles. As the modeling confirms, without taking external energy, small and simple inorganic molecules formed bigger and more complicated molecules, which are necessary ingredients of all living organisms. In our simulations, we utilized actual ranges of parameters according to their experimentally observed values. The results from …
From Velocities To Fluxions, Marco Panza
From Velocities To Fluxions, Marco Panza
MPP Published Research
"Though the De Methodis results, for its essential structure and content, from a re-elaboration of a previous unfinished treatise composed in the Fall of 1666—now known, after Whiteside, as The October 1666 tract on fluxions ([22], I, pp. 400-448)—, the introduction of the term ‘fluxion’ goes together with an important conceptual change concerned with Newton’s understanding of his own achievements. I shall argue that this change marks a crucial step in the origins of analysis, conceived as an autonomous mathematical theory."
Book Review: Philosophy Of Science After Feminism By Janet Kourany, Gizem Karaali
Book Review: Philosophy Of Science After Feminism By Janet Kourany, Gizem Karaali
Pomona Faculty Publications and Research
Janet Kourany’s book is a strange one: published by Oxford University Press (as a part of its Studies in Feminist Philosophy series), it is an academically oriented book, but reading it, you sense that this is not yet another theoretical monograph. For Kourany has her ax to grind, and more importantly she has a program to promote. The program is for philosophers of science and is motivated and encouraged by the amazing work done in the past few decades by feminist scientists and feminist scholars of science, technology, and society. In the following I will try to explain why I …
Juggling By Numbers: Siteswap Notation For Juggling, David Tate
Juggling By Numbers: Siteswap Notation For Juggling, David Tate
Browse All Undergraduate research
A basic overview of the juggling notation known as "Siteswap". This is a way of describing juggling patterns using sequences of numbers.