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Patterns, Symmetries, And Mathematical Structures In The Arts, Sarah C. DeLoach 2020 Georgia Southern University

Patterns, Symmetries, And Mathematical Structures In The Arts, Sarah C. Deloach

University Honors Program Theses

Mathematics is a discipline of academia that can be found everywhere in the world around us. Mathematicians and scientists are not the only people who need to be proficient in numbers. Those involved in social sciences and even the arts can benefit from a background in math. In fact, connections between mathematics and various forms of art have been discovered since as early as the fourth century BC. In this thesis we will study such connections and related concepts in mathematics, dances, and music.


Oscillation In Mathematical Epidemiology, Meredith Greer 2019 Bates College

Oscillation In Mathematical Epidemiology, Meredith Greer

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku 2019 Virginia Commonwealth University

Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku

Biology and Medicine Through Mathematics Conference

No abstract provided.


Network Analyses Of Glomerular Capillaries, Jason Cory Brunson, Justin Sardi, Mark Terasaki 2019 UConn Health

Network Analyses Of Glomerular Capillaries, Jason Cory Brunson, Justin Sardi, Mark Terasaki

Biology and Medicine Through Mathematics Conference

No abstract provided.


Bifurcation Analysis Of A Photoreceptor Interaction Model For Retinitis Pigmentosa, Anca R. Radulescu 2019 State University of New York at New Paltz

Bifurcation Analysis Of A Photoreceptor Interaction Model For Retinitis Pigmentosa, Anca R. Radulescu

Biology and Medicine Through Mathematics Conference

No abstract provided.


Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, Claus Kadelka 2019 Iowa State University

Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, Claus Kadelka

Biology and Medicine Through Mathematics Conference

No abstract provided.


Spiking Activity In Networks Of Neurons Impacted By Axonal Swelling, Brian Frost, Stan Mintchev 2019 Cooper Union for the Advancement of Science and Art

Spiking Activity In Networks Of Neurons Impacted By Axonal Swelling, Brian Frost, Stan Mintchev

Biology and Medicine Through Mathematics Conference

No abstract provided.


2019 Petersheim Academic Exposition Schedule Of Events, Seton Hall University 2019 Seton Hall University

2019 Petersheim Academic Exposition Schedule Of Events, Seton Hall University

Petersheim Academic Exposition

2019 Petersheim Academic Exposition


A Self-Contained Course In The Mathematical Theory Of Statistics For Scientists & Engineers With An Emphasis On Predictive Regression Modeling & Financial Applications., Tim Smith 2019 Embry-Riddle Aeronautical University

A Self-Contained Course In The Mathematical Theory Of Statistics For Scientists & Engineers With An Emphasis On Predictive Regression Modeling & Financial Applications., Tim Smith

Timothy Smith

Preface & Acknowledgments

This textbook is designed for a higher level undergraduate, perhaps even first year graduate, course for engineering or science students who are interested to gain knowledge of using data analysis to make predictive models. While there is no statistical perquisite knowledge required to read this book, due to the fact that the study is designed for the reader to truly understand the underlying theory rather than just learn how to read computer output, it would be best read with some familiarity of elementary statistics. The book is self-contained and the only true perquisite knowledge is a solid understanding of university level calculus, which of course it is expected that any engineering or science student will have mastery off. The intention for this textbook is for an elective type course; however, the foundations are laid here for further mathematical study and this text could well serve as a transition for an interested student with little to no prior knowledge to then go on to study in the popular fields of data scientist, big data or whatever the buzz words of the day may call it. A natural next read would be something equivalent to the popular texts “an introduction to statistical learning” or the “the elements of statistical learning,” by Hastie & Friedman et al.

The author is very grateful for the opportunity to have implemented and taught the MA ...


Carolinas Sports Analytics Meeting. 2019 Schedule, Ben Grannan 2019 Furman University

Carolinas Sports Analytics Meeting. 2019 Schedule, Ben Grannan

Carolinas Sports Analytics Meeting

No abstract provided.


An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith 2019 University of Lynchburg

An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith

Student Scholar Showcase

Blood flow to the tissue of the hands and digits is efficiently regulated by vasoconstriction and vasodilation. Through a series of cadaveric dissection, we examined arteries in the hands and digits, including ulnar artery, radial artery, palmar arteries, and digital arteries, for their distribution (branching) patterns and morphological parameters (e.g., thickness, length between branches, external and internal diameters). Using data directly collected from three female cadavers as input variables to our mathematical model, we simulated vasoconstriction (-20% and -10% diameter) and vasodilation (+10% and +20 diameter) to evaluate the extent of changes in blood volume and flow within the ...


Group Theoretical Analysis Of Arbitrarily Large, Colored Square Grids, Brett Ehrman 2019 University of Lynchburg

Group Theoretical Analysis Of Arbitrarily Large, Colored Square Grids, Brett Ehrman

Student Scholar Showcase

In this research, we examine n x n grids whose individual squares are each colored with one of k distinct colors. We seek a general formula for the number of colored grids that are distinct up to rotations, reflections, and color reversals. We examine the problem using a group theoretical approach. We define a specific group action that allows us to incorporate Burnside’s Lemma, which leads us to the desired general results


Non-Finitely Based Finite Involution Semigroups With Finitely Based Semigroup Reducts, Edmond W. H. Lee 2019 Nova Southeastern University

Non-Finitely Based Finite Involution Semigroups With Finitely Based Semigroup Reducts, Edmond W. H. Lee

Edmond W. H. Lee

Recently, an infinite class of finitely based finite involution semigroups with non-finitely based semigroup reducts have been found. In contrast, only one example of the opposite type---non-finitely based finite involution semigroups with finitely based semigroup reducts---has so far been published. In the present article, a sufficient condition is established under which an involution semigroup is non-finitely based. This result is then applied to exhibit several examples of the desired opposite type.


Frank Lloyd Wright: Materials Science And Algebra In Prairie Style Art Glass, Lindsey Herlehy, Patrick Young 2019 Illinois Mathematics and Science Academy

Frank Lloyd Wright: Materials Science And Algebra In Prairie Style Art Glass, Lindsey Herlehy, Patrick Young

Publications & Research

These two lessons are intended for students in Grades 7 - 10 and Pre-Algebra and Algebra courses as an introduction to the mathematics and materials science of Frank Lloyd Wright’s Prairie Style art glass.


Fractional Matching Preclusion For Butterfly Derived Networks, Xia Wang, Tianlong Ma, Chengfu Ye, Yuzhi Xiao, Fang Wang 2019 Qinghai University

Fractional Matching Preclusion For Butterfly Derived Networks, Xia Wang, Tianlong Ma, Chengfu Ye, Yuzhi Xiao, Fang Wang

Theory and Applications of Graphs

The matching preclusion number of a graph is the minimum number of edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings. As a generalization, Liu and Liu [18] recently introduced the concept of fractional matching preclusion number. The fractional matching preclusion number (FMP number) of G, denoted by fmp(G), is the minimum number of edges whose deletion leaves the resulting graph without a fractional perfect matching. The fractional strong matching preclusion number (FSMP number) of G, denoted by fsmp(G), is the minimum number of vertices and edges whose deletion leaves the ...


I Went To A Writing Conference And Came Home With A Math Project, Mike Pinter 2019 Belmont University

I Went To A Writing Conference And Came Home With A Math Project, Mike Pinter

enLightening Talks

I describe a mathematics problem associated with a poetic form based on syllable counts. There will be time for participants to try the poetic form for themselves. No mathematics prerequisite needed.


How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve 2019 Central Washington University

How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve

Pre-calculus and Trigonometry

No abstract provided.


Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg 2019 University of St. Thomas - Houston

Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg

Number Theory

No abstract provided.


Connectedness- Its Evolution And Applications, Nicholas A. Scoville 2019 Ursinus College

Connectedness- Its Evolution And Applications, Nicholas A. Scoville

Topology

No abstract provided.


Does Teaching The History Of Mathematics In High School Aid In Student Understanding?, Anne Campbell 2019 Otterbein University

Does Teaching The History Of Mathematics In High School Aid In Student Understanding?, Anne Campbell

Honors Thesis Projects

This research will study the effect teaching the history of mathematics in a high school classroom has on student understanding. To accomplish this, lessons both including and excluding historical background on different topics were taught in an Honors Algebra 2 class in the high school setting. This research aims to engage student learning and investigation of topics that normally do not draw a lot of student focus and spark a new or revived interest in mathematics for students by broadening lessons to include material of which students would not otherwise be exposed. The lessons themselves aim to engage other current ...


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