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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 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 ...


R\'Enyi's Quantum Thermodynamical Inequalities, Natalia Bebiano, Joao da Providencia, J.P. da Providencia 2018 University of Coimbra

R\'Enyi's Quantum Thermodynamical Inequalities, Natalia Bebiano, Joao Da Providencia, J.P. Da Providencia

Electronic Journal of Linear Algebra

A theory of thermodynamics has been recently formulated and derived on the basis of R\'enyi entropy and its relative versions. In this framework, the concepts of partition function, internal energy and free energy are defined, and fundamental quantum thermodynamical inequalities are deduced. In the context of R\'enyi's thermodynamics, the variational Helmholtz principle is stated and the condition of equilibrium is analyzed. The %obtained results reduce to the von Neumann ones when the R\'enyi entropic parameter $\alpha$ approaches 1. The main goal of the article is to give simple and self-contained proofs of important known results in ...


Three Examples Of Mondoromy Groups, Alice A. Wise 2018 alice.wise

Three Examples Of Mondoromy Groups, Alice A. Wise

Electronic Theses and Dissertations

This thesis illustrates the notion of the Monodromy group of a global analytic function through three examples. One is a relatively simple finite example; the others are more complicated infinite cases, one abelian and one non-abelian, which show connections to other parts of mathematics.


Compactifications Of Manifolds With Boundary, Shijie Gu 2018 University of Wisconsin-Milwaukee

Compactifications Of Manifolds With Boundary, Shijie Gu

Theses and Dissertations

This dissertation is concerned with compactifications of high-dimensional manifolds.

Siebenmann's iconic 1965 dissertation \cite{Sie65} provided necessary and

sufficient conditions for an open manifold $M^{m}$ ($m\geq6$) to be

compactifiable by addition of a manifold boundary. His theorem extends easily

to cases where $M^{m}$ is noncompact with compact boundary; however when

$\partial M^{m}$ is noncompact, the situation is more complicated. The goal

becomes a \textquotedblleft completion\textquotedblright\ of $M^{m}$, ie, a

compact manifold $\widehat{M}^{m}$ containing a compactum $A\subseteq\partial

M^{m}$ such that $\widehat{M}^{m}\backslash A\approx M^{m}$. Siebenmann ...


Z-Structures And Semidirect Products With An Infinite Cyclic Group, Brian Walter Pietsch 2018 University of Wisconsin-Milwaukee

Z-Structures And Semidirect Products With An Infinite Cyclic Group, Brian Walter Pietsch

Theses and Dissertations

Z-structures were originally formulated by Bestvina in order to axiomatize the properties that an ideal group boundary should have. In this dissertation, we prove that if a given group admits a Z-structure, then any semidirect product of that group with an infinite cyclic group will also admit a Z-structure. We then show how this can be applied to 3-manifold groups and strongly polycyclic groups.


Fast Adjustable Npn Classification Using Generalized Symmetries, Xuegong Zhou, Lingli Wang, Peiyi Zhao, Alan Mishchenko 2018 Fudan University

Fast Adjustable Npn Classification Using Generalized Symmetries, Xuegong Zhou, Lingli Wang, Peiyi Zhao, Alan Mishchenko

Mathematics, Physics, and Computer Science Faculty Articles and Research

NPN classification of Boolean functions is a powerful technique used in many logic synthesis and technology mapping tools in FPGA design flows. Computing the canonical form of a function is the most common approach of Boolean function classification. In this paper, a novel algorithm for computing NPN canonical form is proposed. By exploiting symmetries under different phase assignments and higher-order symmetries of Boolean functions, the search space of NPN canonical form computation is pruned and the runtime is dramatically reduced. The algorithm can be adjusted to be a slow exact algorithm or a fast heuristic algorithm with lower quality. For ...


Developments In Multivariate Post Quantum Cryptography., Jeremy Robert Vates 2018 University of Louisville

Developments In Multivariate Post Quantum Cryptography., Jeremy Robert Vates

Electronic Theses and Dissertations

Ever since Shor's algorithm was introduced in 1994, cryptographers have been working to develop cryptosystems that can resist known quantum computer attacks. This push for quantum attack resistant schemes is known as post quantum cryptography. Specifically, my contributions to post quantum cryptography has been to the family of schemes known as Multivariate Public Key Cryptography (MPKC), which is a very attractive candidate for digital signature standardization in the post quantum collective for a wide variety of applications. In this document I will be providing all necessary background to fully understand MPKC and post quantum cryptography as a whole. Then ...


Symmetric Weighted Odd-Power Variations Of Fractional Brownian Motion And Applications, David Nualart, Raghid Zeineddine 2018 University of Kansas

Symmetric Weighted Odd-Power Variations Of Fractional Brownian Motion And Applications, David Nualart, Raghid Zeineddine

Communications on Stochastic Analysis

No abstract provided.


Stochastic Representation Of Tau Functions With An Application To The Korteweg-De Vries Equation, Michèle Thieullen, Alexis Vigot 2018 Sorbonne Université, Paris, France

Stochastic Representation Of Tau Functions With An Application To The Korteweg-De Vries Equation, Michèle Thieullen, Alexis Vigot

Communications on Stochastic Analysis

No abstract provided.


Exit-Time Of Granular Media Equation Starting In A Local Minimum, Julian Tugaut 2018 Université Jean Monnet, Saint-Étienne, France

Exit-Time Of Granular Media Equation Starting In A Local Minimum, Julian Tugaut

Communications on Stochastic Analysis

No abstract provided.


Bsdes On Finite And Infinite Horizon With Time-Delayed Generators, Peng Luo, Ludovic Tangpi 2018 ETH Zürich, Switzerland

Bsdes On Finite And Infinite Horizon With Time-Delayed Generators, Peng Luo, Ludovic Tangpi

Communications on Stochastic Analysis

No abstract provided.


A Triple Comparison Between Anticipating Stochastic Integrals In Financial Modeling, Joan Bastons, Carlos Escudero 2018 Universidad Autónoma de Madrid, Spain

A Triple Comparison Between Anticipating Stochastic Integrals In Financial Modeling, Joan Bastons, Carlos Escudero

Communications on Stochastic Analysis

No abstract provided.


Arratia Flow With Drift And Trotter Formula For Brownian Web, Andrey A. Dorogovtsev, M. B. Vovchanskii 2018 Institute of Mathematics, National Academy of Sciences of Ukraine

Arratia Flow With Drift And Trotter Formula For Brownian Web, Andrey A. Dorogovtsev, M. B. Vovchanskii

Communications on Stochastic Analysis

No abstract provided.


A Discrete Time Approximations For Certain Class Of One-Dimensional Backward Stochastic Differential Equations Via Girsanov's Theorem, Aissa Sghir, Driss Seghir, Soukaina Hadiri 2018 Université Mohammed Premier

A Discrete Time Approximations For Certain Class Of One-Dimensional Backward Stochastic Differential Equations Via Girsanov's Theorem, Aissa Sghir, Driss Seghir, Soukaina Hadiri

Communications on Stochastic Analysis

No abstract provided.


Don't Ask The Baby To Do Calculus: Thoughts From An Early-Career Math Mama, Caitlin Krul 2018 Worcester State University

Don't Ask The Baby To Do Calculus: Thoughts From An Early-Career Math Mama, Caitlin Krul

Journal of Humanistic Mathematics

I very recently became a math mama. In my desperate search for patterns and structure in those first few weeks, my husband told me, "She's only three weeks old; we can't expect her to be doing calculus homework." I suppose he was right. I am working towards tenure and finding a new balance between teaching and family, all while trying to not lose sight of who I am. My personal challenges range from the logistics of being a nursing mother in a shared office to feelings of being seen as less adequate in my job if I present ...


Inquiry Based Learning: A Teaching And Parenting Opportunity, Aliza Steurer 2018 Dominican University

Inquiry Based Learning: A Teaching And Parenting Opportunity, Aliza Steurer

Journal of Humanistic Mathematics

In this paper, I discuss what appears to be a new perspective on inquiry based learning (IBL) by describing its parallels with parenting. IBL is a student-centered learning method involving collaborative work on carefully sequenced exercises, oral and written communication of solutions, and peer review. Students create their own knowledge and present their ideas, and the instructor acts as a facilitator. The parallels between IBL and parenting include a growth mindset, emphasizing process over outcome, learning from mistakes, learning how to get unstuck, and deconstructing tasks. IBL and parenting also involve similar social interactions, such as responding to difficult questions ...


Semipositivity Of Linear Maps Relative To Proper Cones In Finite Dimensional Real Hilbert Spaces, Chandrashekaran Arumugasamy, Sachindranath Jayaraman, Vatsalkumar N. Mer 2018 IISER Trivandrum

Semipositivity Of Linear Maps Relative To Proper Cones In Finite Dimensional Real Hilbert Spaces, Chandrashekaran Arumugasamy, Sachindranath Jayaraman, Vatsalkumar N. Mer

Electronic Journal of Linear Algebra

For a proper cone $K$ in a finite dimensional real Hilbert space $V$, a linear map $L$ is said to be $K$-semipositive if there exists $d \in K^\circ$, the interior of $K$, such that $L(d) \in K^\circ$. The aim of this manuscript is to characterize $K$-semipositivity of linear maps relative to a proper cone. Among several results obtained, $K$-semipositivity is characterized in terms of products of the form $YX^{-1}$ for $K$-positive linear maps ($L(K \setminus \{0\}) \subseteq K^\circ$) with $X$ invertible, semipositivity of matrices relative to the $n$-dimensional Lorentz ...


Quantitative Literacy And Civic Virtue, William Briggs 2018 University of Colorado, Denver

Quantitative Literacy And Civic Virtue, William Briggs

Numeracy

Mathematics educators are occasionally called upon to justify the existence or the offering of quantitative literacy courses. This paper argues that effective quantitative literacy courses have different goals than algebra courses and are legitimate alternatives to algebra courses for non-STEM students. Furthermore, quantitative literacy courses affirm the historic relationship between citizenship and education. In today’s world of proliferating news sources, social media, and fake news, quantitative literacy has become an essential component of the long-held ideal of civic virtue.


Generalized Fock Spaces And The Stirling Numbers, Daniel Alpay, Motke Porat 2018 Chapman University

Generalized Fock Spaces And The Stirling Numbers, Daniel Alpay, Motke Porat

Mathematics, Physics, and Computer Science Faculty Articles and Research

The Bargmann-Fock-Segal space plays an important role in mathematical physics and has been extended into a number of directions. In the present paper, we imbed this space into a Gelfand triple. The spaces forming the Fréchet part (i.e., the space of test functions) of the triple are characterized both in a geometric way and in terms of the adjoint of multiplication by the complex variable, using the Stirling numbers of the second kind. The dual of the space of test functions has a topological algebra structure, of the kind introduced and studied by the first named author and Salomon.


Elements Of Calculus 1, Nur Dean 2018 CUNY City College

Elements Of Calculus 1, Nur Dean

Open Educational Resources

No abstract provided.


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