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Articles 451 - 480 of 1369
Full-Text Articles in Physical Sciences and Mathematics
The Subject Librarian Newsletter, Mathematics, Spring 2017, Sandy Avila
The Subject Librarian Newsletter, Mathematics, Spring 2017, Sandy Avila
Libraries' Newsletters
No abstract provided.
Cosm News, Georgia Southern University
Cosm News, Georgia Southern University
College of Science and Mathematics News (2012-2019)
- 29th Annual Invitational Mathematics Tournament
Badiou’S Logics: Math, Metaphor, And (Almost) Everything, Vladimir Tasic
Badiou’S Logics: Math, Metaphor, And (Almost) Everything, Vladimir Tasic
Journal of Humanistic Mathematics
Mathematics plays a central role in the philosophical system of Alain Badiou. The aim of this essay is to situate this appeal to mathematics in the broader context of his work, including its literary and political elements.
Steady State Probabilities In Relation To Eigenvalues, Pellegrino Christopher
Steady State Probabilities In Relation To Eigenvalues, Pellegrino Christopher
The Kabod
By using the methods of Hamdy Taha, eigenvectors can be used in solving problems to compute steady state probabilities, and they work every time.
Founders, Feminists, And A Fascist -- Some Notable Women In The Missouri Section Of The Maa, Leon M. Hall
Founders, Feminists, And A Fascist -- Some Notable Women In The Missouri Section Of The Maa, Leon M. Hall
Mathematics and Statistics Faculty Research & Creative Works
In the history of the Missouri Section of the MAA, some of the more interesting people who influenced the growth and development of the section through the years were and are women. In this chapter, we discuss the contributions of a few (certainly not all) of these women to the Missouri Section and mathematics as a whole, including Emily Kathryn Wyant (founder of KME), Margaret F. Willerding (who dealt with sexism in the 1940s), Maria Castellani (an official in Mussolini’s Italy before coming to America), and T. Christine Stevens (co-founder of Project NExT). Without them, and others like them, both …
Solitary Wave Solution Of Flat Surface Internal Geophysical Waves With Vorticity, Alan Compelli
Solitary Wave Solution Of Flat Surface Internal Geophysical Waves With Vorticity, Alan Compelli
Conference papers
A fluid system bounded by a flat bottom and a flat surface with an internal wave and depth-dependent current is con-sidered. The Hamiltonian of the system is presented and the dynamics of the system are discussed. A long-wave regime is then considered and extended to produce a KdV approximation. Finally, a solitary wave solution is obtained.
Spectrally Similar Incommensurable 3-Manifolds, David Futer, Christian Millichap
Spectrally Similar Incommensurable 3-Manifolds, David Futer, Christian Millichap
Faculty Publications
Reid has asked whether hyperbolic manifolds with the same geodesic length spectrum must be commensurable. Building toward a negative answer to this question, we construct examples of hyperbolic 3–manifolds that share an arbitrarily large portion of the length spectrum but are not commensurable. More precisely, for every n ≫ 0, we construct a pair of incommensurable hyperbolic 3–manifolds Nn and Nµn whose volume is approximately n and whose length spectra agree up to length n.
Both Nn and Nµn are built by gluing two standard submanifolds along a complicated pseudo-Anosov map, ensuring that …
Mutations And Short Geodesics In Hyperbolic 3-Manifolds, Christian Millichap
Mutations And Short Geodesics In Hyperbolic 3-Manifolds, Christian Millichap
Faculty Publications
In this paper, we explicitly construct large classes of incommensurable hyperbolic knot complements with the same volume and the same initial (complex) length spectrum. Furthermore, we show that these knot complements are the only knot complements in their respective commensurability classes by analyzing their cusp shapes.
The knot complements in each class differ by a topological cut-and-paste operation known as mutation. Ruberman has shown that mutations of hyperelliptic surfaces inside hyperbolic 3-manifolds preserve volume. Here, we provide geometric and topological conditions under which such mutations also preserve the initial (complex) length spectrum. This work requires us to analyze when least …
Math And Physics Activities, Maureen Miller, Hope Bragg, Christy Keefer
Math And Physics Activities, Maureen Miller, Hope Bragg, Christy Keefer
Integrated Math & Social Studies Lessons
Mathematics is at the core of the Hidden Figures story. These women were united by their passion for the field of mathematics. Society often portrays that there are “bad” math students, those that struggle with calculations and applications. The structure of these activities, pairing of students, permits students to support each other in working through the problems. The video clip allows students to establish connections between mathematical calculations and scientific concepts. The physics problems that students complete are motion problems that beginning rocket engineers would have solved to determine how high their rocket flew.
A Study Of Fourth-Grade Students' Perceptions On Homework Environment And Academic Motivation In Mathematics, Stefanie Harmon
A Study Of Fourth-Grade Students' Perceptions On Homework Environment And Academic Motivation In Mathematics, Stefanie Harmon
Walden Dissertations and Doctoral Studies
The problem at an elementary school is teachers' lack of knowledge and information on the perceptions and motivation of students to complete independent mathematics homework. The purpose of this study was to identify students' perceptions regarding their homework environment and academic motivation in mathematics. The study's conceptual framework, attribution theory, supported the examination of drivers of motivation for participants related to homework completion. Guiding research questions, supported by Keller's ARCS model, focused on the identification of students' perceptions of homework attention, relevance, curiosity, satisfaction, and their preferred homework environment. This qualitative research study obtained data from semistructured interviews with 44 …
On Degree Bound For Syzygies Of Polynomial Invariants, Zhao Gao
On Degree Bound For Syzygies Of Polynomial Invariants, Zhao Gao
Senior Independent Study Theses
Suppose G is a finite linearly reductive group. The degree bound for the syzygy ideal of the invariant ring of G is given in [2]. We develop the theory of commutative algebra and give the proof from [2] that the ideal of relations of the minimal set of generators of invariant ring of a finite linearly reductive group G is generated in degree at most 2|G|.
Quantum Metrics On Approximately Finite-Dimensional Algebras, Konrad Aguilar
Quantum Metrics On Approximately Finite-Dimensional Algebras, Konrad Aguilar
Electronic Theses and Dissertations
Our dissertation focuses on bringing approximately finite-dimensional (AF) algebras into the realm of noncommutative metric geometry. We construct quantum metric structures on unital AF algebras equipped with a faithful tracial state, and prove that for such metrics, AF algebras are limits of their defining inductive sequences of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity. We then study the geometry, for the quantum propinquity, of three natural classes of AF algebras equipped with our quantum metrics: the UHF algebras, the Effros-Shen AF algebras associated with continued fraction expansions of irrationals, and the Cantor space, on which our construction recovers traditional …
Banach Spaces From Barriers In High Dimensional Ellentuck Spaces, Gabriel Girón-Garnica
Banach Spaces From Barriers In High Dimensional Ellentuck Spaces, Gabriel Girón-Garnica
Electronic Theses and Dissertations
We construct new Banach spaces using barriers in high dimensional Ellentuck spaces following the classical framework under which a Tsirelson type norm is defined from a barrier in Ellentuck space. It is shown that these spaces contain arbitrary large copies of lninfinity and specific block subspaces isomorphic to lp. We also prove that they are lp-saturated and not isomorphic to each other. Finally, a study of alternative norms for our spaces is presented.
Z2-Orbifolds Of Affine Vertex Algebras And W-Algebras, Masoumah Abdullah Al-Ali
Z2-Orbifolds Of Affine Vertex Algebras And W-Algebras, Masoumah Abdullah Al-Ali
Electronic Theses and Dissertations
Vertex algebras arose in conformal field theory and were first defined axiomatically by Borcherds in his famous proof of the Moonshine Conjecture in 1986. The orbifold construction is a standard way to construct new vertex algebras from old ones. Starting with a vertex algebra V and a group G of automorphisms, one considers the invariant subalgebra VG (called G-orbifold of V), and its extensions. For example, the Moonshine vertex algebra arises as an extension of the Z2-orbifold of the lattice vertex algebra associated to the Leech lattice.
In this thesis we consider two problems. First, …
Emergence And Complexity In Music, Zoe Tucker
Emergence And Complexity In Music, Zoe Tucker
HMC Senior Theses
How can we apply mathematical notions of complexity and emergence to music, and how can these mathematical ideas then inspire new musical works? Using Steve Reich's Clapping Music as a starting point, we look for emergent patterns in music by considering cases where a piece's complexity is significantly different from the total complexity of each of the individual parts. Definitions of complexity inspired by information theory, data compression, and musical practice are considered. We also consider the number of distinct musical pieces that could be composed in the same manner as Clapping Music. Finally, we present a new musical …
Introduction To Random Processes Mth 453, Joanna Burkhardt
Introduction To Random Processes Mth 453, Joanna Burkhardt
Library Impact Statements
No abstract provided.
Applied Calculus Mth 103, Joanna Burkhardt
Applied Calculus Mth 103, Joanna Burkhardt
Library Impact Statements
No abstract provided.
Introduction To Mathematical Analysis I - 2nd Edition, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen
Introduction To Mathematical Analysis I - 2nd Edition, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen
PDXOpen: Open Educational Resources
Video lectures explaining problem solving strategies are available
Our goal in this set of lecture notes is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although …
On Rational Subgroups Of Exceptional Groups., Neha Hooda Dr.
On Rational Subgroups Of Exceptional Groups., Neha Hooda Dr.
Doctoral Theses
The main theme of this thesis is the study of exceptional algebraic groups via their subgroups. This theme has been widely explored by various authors (Martin Leibeck, Gary Seitz, Adam Thomas, Donna Testerman to mention a few), mainly for split groups ([26], [27], [28], [60] ). When the field of definition k of the concerned algebraic groups is not algebraically closed, the classification of k-subgroups is largely an open problem. In the thesis, we mainly handle the cases of simple groups of type F4 and G2 defined over an arbitrary field. These may not be split over k. We first …
Efficacy Of Math Video Tutorials On Student Perception And Achievement, Carol R. Kahrmann
Efficacy Of Math Video Tutorials On Student Perception And Achievement, Carol R. Kahrmann
Doctor of Education in Teacher Leadership Dissertations
Abstract
The purpose of this mixed methods research study is to explore how teacher-made video tutorials in one middle school mathematics classroom are being used and what enables/impedes their effectiveness. A quantitative, quasi-experimental design investigates how video tutorial usage relates to students’ self-efficacy and achievement in mathematics. The sample consisted of 55 students in the experimental group and 65 students in the control group. Results found parents wanted the tutorials even if they did not view them. Students did actually use the video tutorials for remediation and learning. Videos longer than ten minutes impeded the effectiveness of the videos. The …
Traditional Mathematics And New Methods Of Teaching Through Programming Together With Students, Robert Kosova, Teuta Thanasi, Lindita Mukli, Loreta Nakuçi Pëllumbi
Traditional Mathematics And New Methods Of Teaching Through Programming Together With Students, Robert Kosova, Teuta Thanasi, Lindita Mukli, Loreta Nakuçi Pëllumbi
UBT International Conference
We are used to the traditional methods of teaching mathematics. The textbook, the blackboard and a chalk have been for centuries a wonderful part of teaching. And, they always will be. Traditional teaching methods of mathematics are a wonderful legacy of our educational system that have educated generations of teachers, engineers, administrators, managers, leaders, and economists. American universities websites, the video- lectures of the best professors of well-known disciplines such as statistics, operational research, number theory, algebra, game theory, show impressing large blackboards, all over the auditor's walls. We always will need and admire traditional mathematics. But, beyond the lessons, …
Elementary Statistics (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield
Elementary Statistics (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield
Mathematics Grants Collections
This Grants Collection for Elementary Statistics was created under a Round Four ALG Textbook Transformation Grant.
Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.
Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:
- Linked Syllabus
- Initial Proposal
- Final Report
Calculus Ii (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield
Calculus Ii (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield
Mathematics Grants Collections
This Grants Collection for Calculus II was created under a Round Four ALG Textbook Transformation Grant.
Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.
Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:
- Linked Syllabus
- Initial Proposal
- Final Report
Precalculus (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield
Precalculus (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield
Mathematics Grants Collections
This Grants Collection for Introduction to Sociology was created under a Round Four ALG Textbook Transformation Grant.
Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.
Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:
- Linked Syllabus
- Initial Proposal
- Final Report
Lefschetz Contact Manifolds And Odd Dimensional Symplectic Geometry, Yi Lin
Lefschetz Contact Manifolds And Odd Dimensional Symplectic Geometry, Yi Lin
Department of Mathematical Sciences Faculty Publications
In the literature, there are two different versions of Hard Lefschetz theorems for a compact Sasakian manifold. The first version, due to Kacimi-Alaoui, asserts that the basic cohomology groups of a compact Sasakian manifold satisfies the transverse Lefschetz property. The second version, established far more recently by Cappelletti-Montano, De Nicola, and Yudin, holds for the De Rham cohomology groups of a compact Sasakian manifold. In the current paper, using the formalism of odd dimensional symplectic geometry, we prove a Hard Lefschetz theorem for compact K-contact manifolds, which implies immediately that the two existing versions of Hard Lefschetz theorems are mathematically …
The Subject Librarian Newsletter, Mathematics, Fall 2016, Patti Mccall
The Subject Librarian Newsletter, Mathematics, Fall 2016, Patti Mccall
Libraries' Newsletters
No abstract provided.
Gender Representation On Journal Editorial Boards In The Mathematical Sciences, Chad M. Topaz, Shilad Sen
Gender Representation On Journal Editorial Boards In The Mathematical Sciences, Chad M. Topaz, Shilad Sen
Shilad Sen
No abstract provided.
Gender Representation On Journal Editorial Boards In The Mathematical Sciences, Chad M. Topaz, Shilad Sen
Gender Representation On Journal Editorial Boards In The Mathematical Sciences, Chad M. Topaz, Shilad Sen
Chad M. Topaz
No abstract provided.
Gender Representation On Journal Editorial Boards In The Mathematical Sciences, Chad M. Topaz, Shilad Sen
Gender Representation On Journal Editorial Boards In The Mathematical Sciences, Chad M. Topaz, Shilad Sen
Faculty Publications
No abstract provided.
A Classification Of The Intersections Between Regions And Their Topical Transitions, Kathleen Bell
A Classification Of The Intersections Between Regions And Their Topical Transitions, Kathleen Bell
Mahurin Honors College Capstone Experience/Thesis Projects
As two topological regions are morphed and translated, how does their intersection change? Previous research has been done on static configurations with planar spatial regions. I expand upon this research to include dynamically changing regions and intersections. I examine what forms of intersection are possible, and what transitions are directly possible, while considering such variables as the connectedness of the regions.