Exploring Flag Matroids And Duality,
2018
California State University, San Bernardino
Exploring Flag Matroids And Duality, Zachary Garcia
Electronic Theses, Projects, and Dissertations
Matroids capture an abstraction of independence in mathematics, and in doing so, connect discrete mathematical structures that arise in a variety of contexts. A matroid can be defined in several cryptomorphic ways depending on which perspective of a matroid is most applicable to the given context. Among the many important concepts in matroid theory, the concept of matroid duality provides a powerful tool when addressing difficult problems. The usefulness of matroid duality stems from the fact that the dual of a matroid is itself a matroid. In this thesis, we explore a matroid-like object called a flag matroid. In particular, …
Symmetric Presentations And Double Coset Enumeration,
2018
California State University, San Bernardino
Symmetric Presentations And Double Coset Enumeration, Charles Seager
Electronic Theses, Projects, and Dissertations
In this project, we demonstrate our discovery of original symmetric presentations and constructions of important groups, including nonabelian simple groups, and groups that have these as factor groups. The target nonabelian simple groups include alternating, linear, and sporadic groups. We give isomorphism types for each finite homomorphic image that has been found. We present original symmetric presentations of $M_{12}$, $M_{21}:(2 \times 2)$, $L_{3}(4):2^2$, $2:^{\cdot}L_{3}(4):2$, $S(4,3)$, and $S_{7}$ as homomorphism images of the progenitors $2^{*20}$ $:$ $A_{5}$, $2^{*10}$ $:$ $PGL(2,9)$, $2^{*10}$ $:$ $Aut(A_{6})$, $2^{*10}$ $:$ $A_{6}$, $2^{*10}$ $:$ $A_{5}$, and $2^{*24}$ $:$ $S_{5}$, respectively. We also construct $M_{12}$, $M_{21}:(2 \times 2)$, …
Group Theory And Particles,
2018
Georgia Southern University
Group Theory And Particles, Elizabeth V. Hawkins
Honors College Theses
We begin by a brief overview of the notion of groups and Lie groups. We then explain what group representations are and give their main properties. Finally, we show how group representation form a natural framework to understand the Standard Model of physics.
A Complete Characterization Of Near Outer-Planar Graphs,
2018
Louisiana Tech University
A Complete Characterization Of Near Outer-Planar Graphs, Tanya Allen Lueder Genannt Luehr
Doctoral Dissertations
A graph is outer-planar (OP) if it has a plane embedding in which all of the vertices lie on the boundary of the outer face. A graph is near outer-planar (NOP) if it is edgeless or has an edge whose deletion results in an outer-planar graph. An edge of a non outer-planar graph whose removal results in an outer-planar graph is a vulnerable edge. This dissertation focuses on near outer-planar (NOP) graphs. We describe the class of all such graphs in terms of a finite list of excluded graphs, in a manner similar to the well-known Kuratowski Theorem for planar …
Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator And Its Application To Decision Making,
2018
University of New Mexico
Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator And Its Application To Decision Making, Florentin Smarandache, Aliya Fahmi, Fazli Amin, Madad Khan, Nasruddin Hassan
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach
U.S. College Students’ Social Network Characteristics And Perceived Social Exclusion: A Comparison Between Drinkers And Nondrinkers Based On Pastmonth Alcohol Use,
2018
Brown University
U.S. College Students’ Social Network Characteristics And Perceived Social Exclusion: A Comparison Between Drinkers And Nondrinkers Based On Pastmonth Alcohol Use, Sara G. Balestrieri, Graham T. Diguiseppi, Matthew Meisel, Melissa A. Clark, Miles Q. Ott, Nancy P. Barnett
Statistical and Data Sciences: Faculty Publications
There is a general perception on college campuses that alcohol use is normative. However, nondrinking students account for 40% of the U.S. college population. With much of the literature focusing on intervening among drinkers, there has been less of a focus on understanding the nondrinker college experience. The current study has two aims: to describe the social network differences between nondrinkers and drinkers in a college setting, and to assess perceived social exclusion among nondrinkers. METHOD:First-year U.S. college students (n = 1,342; 55.3% female; 47.7% non-Hispanic White) were participants in a larger study examining a social network of one college …
Partial Sum Trigonometric Identities And Chebyshev Polynomials,
2018
Colorado Mesa University
Partial Sum Trigonometric Identities And Chebyshev Polynomials, Sarah Weller
Rose-Hulman Undergraduate Mathematics Journal
Using Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities involving sums and multiplications of cosine.
Asymptotic Quasi-Completeness And Zfc,
2018
University of East Anglia
Asymptotic Quasi-Completeness And Zfc, Mirna Džamonja, Marco Panza
MPP Published Research
The axioms ZFC of first order set theory are one of the best and most widely accepted, if not perfect, foundations used in mathematics. Just as the axioms of first order Peano Arithmetic, ZFC axioms form a recursively enumerable list of axioms, and are, then, subject to Gödel’s Incompleteness Theorems. Hence, if they are assumed to be consistent, they are necessarily incomplete. This can be witnessed by various concrete statements, including the celebrated Continuum Hypothesis CH. The independence results about the infinite cardinals are so abundant that it often appears that ZFC can basically prove very little about such cardinals. …
About A Non-Standard Interpolation Problem,
2018
Chapman University
About A Non-Standard Interpolation Problem, Daniel Alpay, Alain Yger
Mathematics, Physics, and Computer Science Faculty Articles and Research
Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.
Color Space Standardization And Image Analysis For High-Throughput Phenotyping Of Sorghum Bicolor,
2018
Department of Mathematics, Illinois State University
Color Space Standardization And Image Analysis For High-Throughput Phenotyping Of Sorghum Bicolor, Alexandria A. Pokorny
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Celebration Of Mind Puzzle-Game,
2018
Butler University
Celebration Of Mind Puzzle-Game, Jeremiah Farrell
Scholarship and Professional Work - LAS
Each different letter of "Celebration of Mind" is used exactly three times in the following words: ACE, BAM, BID, BLT (the sandwich), CON, FEN, FIT, MIC (microphone or 1099), OLD, RAN, ELM, RFD (rural free delivery), ROT.
Nonlocal Diffusions And The Quantum Black-Scholes Equation: Modelling The Market Fear Factor,
2018
Investec Bank PLC, 30 Gresham Street, London EC2V 7QP, United Kingdom
Nonlocal Diffusions And The Quantum Black-Scholes Equation: Modelling The Market Fear Factor, Will Hicks
Communications on Stochastic Analysis
No abstract provided.
A Decomposition Of A Space Of Multiple Wiener Integrals By The Difference Of Two Independent Lévy Processes In Terms Of The Lévy Laplacian,
2018
Mitsubishi Electric Mechatronics Software Corporation, Nagoya, Japan
A Decomposition Of A Space Of Multiple Wiener Integrals By The Difference Of Two Independent Lévy Processes In Terms Of The Lévy Laplacian, Atsushi Ishikawa
Communications on Stochastic Analysis
No abstract provided.
An Asymptotic Comparison Of Two Time-Homogeneous Pam Models,
2018
University of Southern California, Los Angeles, California USA
An Asymptotic Comparison Of Two Time-Homogeneous Pam Models, Hyun-Jung Kim, Sergey Vladimir Lototsky
Communications on Stochastic Analysis
No abstract provided.
Parametric Family Of Sdes Driven By Lévy Noise,
2018
Indian Institute of Technology Kanpur, India
Parametric Family Of Sdes Driven By Lévy Noise, Suprio Bhar, Barun Sarkar
Communications on Stochastic Analysis
No abstract provided.
Directional Malliavin Derivatives: A Characterisation Of Independence And A Generalised Chain Rule,
2018
University of Mannheim, Germany
Directional Malliavin Derivatives: A Characterisation Of Independence And A Generalised Chain Rule, Stefan Koch
Communications on Stochastic Analysis
No abstract provided.
Reversibility Checking For Markov Chains,
2018
University of Windsor, Windsor, Ontario
Reversibility Checking For Markov Chains, P. H. Brill, Chi Ho Cheung, Myron Hlynka, Q. Jiang
Communications on Stochastic Analysis
No abstract provided.
A Stochastic Integral By A Near-Martingale,
2018
Meijo University, Tenpaku,Nagoya, Japan
A Stochastic Integral By A Near-Martingale, Shinya Hibino, Hui-Hsiung Kuo, Kimiaki Saitô
Communications on Stochastic Analysis
No abstract provided.
Was Frege A Logicist For Arithmetic?,
2018
Chapman University
Was Frege A Logicist For Arithmetic?, Marco Panza
MPP Published Research
The paper argues that Frege’s primary foundational purpose concerning arithmetic was neither that of making natural numbers logical objects, nor that of making arithmetic a part of logic, but rather that of assigning to it an appropriate place in the architectonics of mathematics and knowledge, by immersing it in a theory of numbers of concepts and making truths about natural numbers, and/or knowledge of them transparent to reason without the medium of senses and intuition.
The Chapman Bone Algorithm: A Diagnostic Alternative For The Evaluation Of Osteoporosis,
2018
Chapman University
The Chapman Bone Algorithm: A Diagnostic Alternative For The Evaluation Of Osteoporosis, Elise Levesque, Anton Ketterer, Wajiha Memon, Cameron James, Noah Barrett, Cyril Rakovski, Frank Frisch
Mathematics, Physics, and Computer Science Faculty Articles and Research
Osteoporosis is the most common metabolic bone disease and goes largely undiagnosed throughout the world, due to the inaccessibility of DXA machines. Multivariate analyses of serum bone turnover markers were evaluated in 226 Orange County, California, residents with the intent to determine if serum osteocalcin and serum pyridinoline cross-links could be used to detect the onset of osteoporosis as effectively as a DXA scan. Descriptive analyses of the demographic and lab characteristics of the participants were performed through frequency, means and standard deviation estimations. We implemented logistic regression modeling to find the best classification algorithm for osteoporosis. All calculations and …
