Patterns, Symmetries, And Mathematical Structures In The Arts, 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, 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, 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, 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, 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., 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 2019 Bates College

#### Oscillation In Mathematical Epidemiology, Meredith Greer

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.