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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.


Gehring Inequalities On Time Scales, Martin Bohner, S. H. Saker 2020 Missouri University of Science and Technology

Gehring Inequalities On Time Scales, Martin Bohner, S. H. Saker

Mathematics and Statistics Faculty Research & Creative Works

In this paper, we first prove a new dynamic inequality based on an application of the time scales version of a Hardy-type inequality. Second, by employing the obtained inequality, we prove several Gehring-type inequalities on time scales. As an application of our Gehring-type inequalities, we present some interpolation and higher integrability theorems on time scales. The results as special cases, when the time scale is equal to the set of all real numbers, contain some known results, and when the time scale is equal to the set of all integers, the results are essentially new.


Individual Based Modeling And Analysis Of Pathogen Levels In Poultry Chilling Process, Zachary McCarthy, Ben Smith, Aamir Fazil, Jianhong Wu, Shawn D. Ryan, Daniel Munther 2019 Cleveland State University

Individual Based Modeling And Analysis Of Pathogen Levels In Poultry Chilling Process, Zachary Mccarthy, Ben Smith, Aamir Fazil, Jianhong Wu, Shawn D. Ryan, Daniel Munther

Mathematics Faculty Publications

Pathogen control during poultry processing critically depends on more enhanced insight into contamination dynamics. In this study we build an individual based model (IBM) of the chilling process. Quantifying the relationships between typical Canadian processing specifications, water chemistry dynamics and pathogen levels both in the chiller water and on individual carcasses, the IBM is shown to provide a useful tool for risk management as it can inform risk assessment models. We apply the IBM to Campylobacter spp. contamination on broiler carcasses, illustrating how free chlorine (FC) sanitization, organic load in the water, and pre-chill carcass pathogen levels affect pathogen levels ...


Laplacian Spectral Characterization Of Signed Sun Graphs, Fatemeh Motialah, Mohammad Hassan Shirdareh Haghighi 2019 Shiraz University

Laplacian Spectral Characterization Of Signed Sun Graphs, Fatemeh Motialah, Mohammad Hassan Shirdareh Haghighi

Theory and Applications of Graphs

A sun $SG_{n}$ is a graph of order $2n$ consisting of a cycle $C_{n}$, $n\geq 3$, to each vertex of it a pendant edge is attached. In this paper, we prove that unbalanced signed sun graphs are determined by their Laplacian spectra. Also we show that a balanced signed sun graph is determined by its Laplacian spectrum if and only if $n$ is odd.


Inequalities For Sector Matrices And Positive Linear Maps, Fuping Tan, Huimin Chen 2019 Shanghai University

Inequalities For Sector Matrices And Positive Linear Maps, Fuping Tan, Huimin Chen

Electronic Journal of Linear Algebra

Ando proved that if $A, B$ are positive definite, then for any positive linear map $\Phi$, it holds \begin{eqnarray*} \Phi(A\sharp_\lambda B)\le \Phi(A)\sharp_\lambda \Phi(B), \end{eqnarray*} where $A\sharp_\lambda B$, $0\le\lambda\le 1$, means the weighted geometric mean of $A, B$. Using the recently defined geometric mean for accretive matrices, Ando's result is extended to sector matrices. Some norm inequalities are considered as well.


The Grass Grows Green In Virginia: A Grassroots Effort Leading To Comprehensive Change In Removing Mathematics Barriers For Students., Patricia Parker 2019 Virginia Community College System

The Grass Grows Green In Virginia: A Grassroots Effort Leading To Comprehensive Change In Removing Mathematics Barriers For Students., Patricia Parker

Inquiry: The Journal of the Virginia Community Colleges

The Virginia Community College System (VCCS) embarked on a comprehensive mathematics pathways project in October 2015 with a move from design to implementation in spring 2017. The VCCS Mathematics Pathways Project (VMPP) aimed not only to develop strategies to improve retention and completion, but also to address foundational barriers to students’ success. This grassroots effort involved collaboration among all 23 community colleges, over 200 mathematics faculty, and staff from career and technical support departments. Collaboration extended to the K–12 and university sectors, professional organizations, publishers, and foundations. VMPP goals focused on creating structured mathematics pathway courses for all program ...


Reinforcing The Number Of Disjoint Spanning Trees, Damin Liu, Hong-Jian Lai, Zhi-Hong Chen 2019 Butler University

Reinforcing The Number Of Disjoint Spanning Trees, Damin Liu, Hong-Jian Lai, Zhi-Hong Chen

Zhi-Hong Chen

The spanning tree packing number of a connected graph G, denoted by T(G), is the maximum number of edge-disjoint spanning trees of G. In this paper, we determine the minimum number of edges that must be added to G so that the resulting graph has spanning tree packing number at least k, for a given value of k.


Making Kr+1-Free Graphs R-Partite, József Balogh, Felix Christian Clemen, Mikhail Lavrov, Bernard Lidický, Florian Pfender 2019 University of Illinois at Urbana-Champaign

Making Kr+1-Free Graphs R-Partite, József Balogh, Felix Christian Clemen, Mikhail Lavrov, Bernard Lidický, Florian Pfender

Bernard Lidický

The Erdős–Simonovits stability theorem states that for all ε > 0 there exists α > 0 such that if G is a Kr+1-free graph on n vertices with e(G) > ex(n, Kr+1) − αn2, then one can remove εn2 edges from G to obtain an r-partite graph. Fu¨redi gave a short proof that one can choose α = ε. We give a bound for the relationship of α and ε which is asymptotically sharp as ε → 0.


Sdrap: An Annotation Pipeline For Highly Scrambled Genomes, Jasper Braun 2019 Illinois State University

Sdrap: An Annotation Pipeline For Highly Scrambled Genomes, Jasper Braun

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Mathematical Models For Describing Molecular Self-Assembly, Margherita Maria Ferrari 2019 University of South Florida

Mathematical Models For Describing Molecular Self-Assembly, Margherita Maria Ferrari

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Network Structure And Dynamics Of Biological Systems, Deena R. Schmidt 2019 University of Nevada, Reno

Network Structure And Dynamics Of Biological Systems, Deena R. Schmidt

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Efficient Control Methods For Stochastic Boolean Networks, David Murrugarra 2019 University of Kentucky

Efficient Control Methods For Stochastic Boolean Networks, David Murrugarra

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Loop Homology Of Bi-Secondary Structures, Andrei Bura 2019 Illinois State University

Loop Homology Of Bi-Secondary Structures, Andrei Bura

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Design Of Experiments For Unique Wiring Diagram Identification, Elena Dimitrova 2019 California Polytechnic State University, San Luis Obispo

Design Of Experiments For Unique Wiring Diagram Identification, Elena Dimitrova

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


The Energy-Spectrum Of Bicompatible Sequences, Wenda Huang 2019 Illinois State University

The Energy-Spectrum Of Bicompatible Sequences, Wenda Huang

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


On An Enhancement Of Rna Probing Data Using Information Theory, Thomas J.X. Li, Christian M. Reidys 2019 University of Virginia

On An Enhancement Of Rna Probing Data Using Information Theory, Thomas J.X. Li, Christian M. Reidys

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


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

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

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Modeling Control Methods To Manage The Sylvatic Plague In Black-Tailed Prairie Dog Towns, David C. Elzinga, Shelby R. Stowe, Leland Russell 2019 University of Tennessee, Knoxville

Modeling Control Methods To Manage The Sylvatic Plague In Black-Tailed Prairie Dog Towns, David C. Elzinga, Shelby R. Stowe, Leland Russell

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Using Agent-Based Modeling To Investigate The Existence Of Herd Immunity Thresholds For Infectious Diseases On Randomly Generated Contact Networks, Hannah Callender Highlander, Owen Price 2019 University of Portland

Using Agent-Based Modeling To Investigate The Existence Of Herd Immunity Thresholds For Infectious Diseases On Randomly Generated Contact Networks, Hannah Callender Highlander, Owen Price

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


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.


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