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Articles 1  30 of 17785
FullText Articles in Mathematics
Patterns, Symmetries, And Mathematical Structures In The Arts, Sarah C. Deloach
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
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 Hardytype inequality. Second, by employing the obtained inequality, we prove several Gehringtype inequalities on time scales. As an application of our Gehringtype 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
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 prechill carcass pathogen levels affect pathogen levels ...
Laplacian Spectral Characterization Of Signed Sun Graphs, Fatemeh Motialah, Mohammad Hassan Shirdareh Haghighi
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
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
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, HongJian Lai, ZhiHong Chen
Reinforcing The Number Of Disjoint Spanning Trees, Damin Liu, HongJian Lai, ZhiHong Chen
ZhiHong Chen
The spanning tree packing number of a connected graph G, denoted by _{T}(G), is the maximum number of edgedisjoint 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+1Free Graphs RPartite, József Balogh, Felix Christian Clemen, Mikhail Lavrov, Bernard Lidický, Florian Pfender
Making Kr+1Free Graphs RPartite, 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+1free graph on n vertices with e(G) > ex(n, Kr+1) − αn2, then one can remove εn2 edges from G to obtain an rpartite 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
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 SelfAssembly, Margherita Maria Ferrari
Mathematical Models For Describing Molecular SelfAssembly, 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
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
Efficient Control Methods For Stochastic Boolean Networks, David Murrugarra
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Loop Homology Of BiSecondary Structures, Andrei Bura
Loop Homology Of BiSecondary 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
Design Of Experiments For Unique Wiring Diagram Identification, Elena Dimitrova
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
The EnergySpectrum Of Bicompatible Sequences, Wenda Huang
The EnergySpectrum 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
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 MetaAnalysis, Claus Kadelka
Topology And Dynamics Of Gene Regulatory Networks: A MetaAnalysis, Claus Kadelka
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Modeling Control Methods To Manage The Sylvatic Plague In BlackTailed Prairie Dog Towns, David C. Elzinga, Shelby R. Stowe, Leland Russell
Modeling Control Methods To Manage The Sylvatic Plague In BlackTailed Prairie Dog Towns, David C. Elzinga, Shelby R. Stowe, Leland Russell
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Using AgentBased Modeling To Investigate The Existence Of Herd Immunity Thresholds For Infectious Diseases On Randomly Generated Contact Networks, Hannah Callender Highlander, Owen Price
Using AgentBased 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
Oscillation In Mathematical Epidemiology, Meredith Greer
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
A Concise Workbook For College Algebra 2nd Edition, Fei Ye
A Concise Workbook For College Algebra 2nd Edition, Fei Ye
Open Educational Resources
This is the second edition of the book "A Concise Workbook for College Algebra". In this new edition, some tips and notes, more exercises and examples were added.
A Study On Discrete And Discrete Fractional PharmacokineticsPharmacodynamics Models For Tumor Growth And AntiCancer Effects, Ferhan Atici, Ngoc Nguyen
A Study On Discrete And Discrete Fractional PharmacokineticsPharmacodynamics Models For Tumor Growth And AntiCancer Effects, Ferhan Atici, Ngoc Nguyen
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Research For Educators: Modeling Graph Theory For Nontraditional Math Researchers, Erwin Cornelius
Research For Educators: Modeling Graph Theory For Nontraditional Math Researchers, Erwin Cornelius
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
A Model For CrossInstitutional Collaboration: Addressing Diminishing Resources In Academia, Claudia Kolakowski
A Model For CrossInstitutional Collaboration: Addressing Diminishing Resources In Academia, Claudia Kolakowski
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
An Optimal Edg Method For Distributed Control Of Convection Diffusion Pdes, X. Zhang, Y. Zhang, John R. Singler
An Optimal Edg Method For Distributed Control Of Convection Diffusion Pdes, X. Zhang, Y. Zhang, John R. Singler
Mathematics and Statistics Faculty Research & Creative Works
We propose an embedded discontinuous Galerkin (EDG) method to approximate the solution of a distributed control problem governed by convection diffusion PDEs, and obtain optimal a priori error estimates for the state, dual state, their uxes, and the control. Moreover, we prove the optimizethendiscretize (OD) and discrtizethenoptimize (DO) approaches coincide. Numerical results confirm our theoretical results.
Exercises Integrating High School Mathematics With Robot Motion Planning, Ronald I. Greenberg, George K. Thiruvathukal
Exercises Integrating High School Mathematics With Robot Motion Planning, Ronald I. Greenberg, George K. Thiruvathukal
Computer Science: Faculty Publications and Other Works
This paper presents progress in developing exercises for high school students incorporating levelappropriate mathematics into robotics activities. We assume mathematical foundations ranging from algebra to precalculus, whereas most prior work on integrating mathematics into robotics uses only very elementary mathematical reasoning or, at the other extreme, is comprised of technical papers or books using calculus and other advanced mathematics. The exercises suggested are relevant to any differerentialdrive robot, which is an appropriate model for many different varieties of educational robots. They guide students towards comparing a variety of natural navigational strategies making use of typical movement primitives. The exercises align ...
Beauty, Bees, And God: The Fibonacci Sequence As A Theological Springboard In Secondary Mathematics, John D. Brahier
Beauty, Bees, And God: The Fibonacci Sequence As A Theological Springboard In Secondary Mathematics, John D. Brahier
Journal of Catholic Education
Catholic schools primarily should be in the business of making saints. This article identifies and explores a meaningful, engaging point of contact between mathematics and theology for high school math classes, the Fibonacci Sequence. This sequence serves as an engaging introduction to sequences and series; more importantly, the topic can be used as a springboard to theological discussions. The paper will provide a brief historical background to the Fibonacci Sequence, an explanation of how it can be used in a high school math classroom, and an exploration of three different theological touchpoints that the Fibonacci Sequence offers.
Diffusion And Consensus On Weakly Connected Directed Graphs, J. J. P. Veerman, Ewan Kummel
Diffusion And Consensus On Weakly Connected Directed Graphs, J. J. P. Veerman, Ewan Kummel
Mathematics and Statistics Faculty Publications and Presentations
Let G be a weakly connected directed graph with asymmetric graph Laplacian L. Consensus and diffusion are dual dynamical processes defined on G by x˙=−Lx for consensus and p˙=−pL for diffusion. We consider both these processes as well their discrete time analogues. We define a basis of row vectors {γ¯i}ki=1 of the left nullspace of L and a basis of column vectors {γi}ki=1 of the right nullspace of L in terms of the partition of G into strongly connected components. This allows for complete characterization of the asymptotic behavior of both diffusion and ...
ClosedForm Probability Distribution Of Number Of Infections At A Given Time In A Stochastic Sis Epidemic Model, Olusegun M. Otunuga
ClosedForm Probability Distribution Of Number Of Infections At A Given Time In A Stochastic Sis Epidemic Model, Olusegun M. Otunuga
Olusegun Michael Otunuga
We study the effects of external fluctuations in the transmission rate of certain diseases and how these affect the distribution of the number of infected individuals over time. To do this, we introduce random noise in the transmission rate in a deterministic SIS model and study how the number of infections changes over time. The objective of this work is to derive and analyze the closed form probability distribution of the number of infections at a given time in the resulting stochastic SIS epidemic model. Using the FokkerPlanck equation, we reduce the differential equation governing the number of infections to ...
Making Kr+1Free Graphs RPartite, József Balogh, Felix Christian Clemen, Mikhail Lavrov, Bernard Lidický, Florian Pfender
Making Kr+1Free Graphs RPartite, József Balogh, Felix Christian Clemen, Mikhail Lavrov, Bernard Lidický, Florian Pfender
Mathematics Publications
The Erdős–Simonovits stability theorem states that for all ε > 0 there exists α > 0 such that if G is a Kr+1free graph on n vertices with e(G) > ex(n, Kr+1) − αn2, then one can remove εn2 edges from G to obtain an rpartite 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.