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Physical Sciences and Mathematics Commons

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Mathematics

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2016

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Full-Text Articles in Physical Sciences and Mathematics

Mathematical Relativity And The Nature Of The Universe, Priscila Reyes Nov 2016

Mathematical Relativity And The Nature Of The Universe, Priscila Reyes

Mathematics Colloquium Series

In this talk, I will be discussing certain space-times, which can be used to model celestial objects and events in the universe. These are solutions to Einstein's field equations, which roughly describe the relation between matter, energy and the geometry of the universe. The concept of time in relation to an observer will be demonstrated. I will also include some interesting phenomena that arise out of the unusual mathematical structure of space-times , such as Lorentz contraction, reverse Cauchy-Schwarz, and the twin paradox.


Mathematical Optimization And Applications, Teodora Suciu Nov 2016

Mathematical Optimization And Applications, Teodora Suciu

Mathematics Colloquium Series

This talk centers on mathematical optimization in the context of Calculus of Variations. Optimization involves choosing the best element from a set of choices, usually through mathematical approaches. Solving these kinds of problems is considered an essential tool in many areas of science and engineering. Additionally, various mathematics and business applications are discussed. Also explored is a real-life example with a detailed algorithm that is closely related to the Traveling Salesman problem.


Minimum Number Of Distinct Eigenvalues Of Graphs, Shahla Nasserasr Nov 2016

Minimum Number Of Distinct Eigenvalues Of Graphs, Shahla Nasserasr

Mathematics Colloquium Series

For a simple graph G on n vertices, a real symmetric nxn matrix A is said to be compatible with G, if for different i and j, the (i; j) entry of A is nonzero whenever there is an edge between the vertices i and j, it is zero otherwise. The minimum number of distinct eigenvalues, when minimum is taken over all compatible matrices with G, is denoted by q(G). In this talk, a survey of some known and new results about q(G) is presented.


Continuous Dependence And Differentiating Solutions Of A Second Order Boundary Value Problem With Average Value Condition, Samantha A. Major Nov 2016

Continuous Dependence And Differentiating Solutions Of A Second Order Boundary Value Problem With Average Value Condition, Samantha A. Major

Mathematics Colloquium Series

Using a few conditions, continuous dependence, and a result regarding smoothness of initial conditions, we show that derivatives, with respect to each of the boundary data, of solutions to a second order boundary value problem with an average value integral condition solve the associated variational equation with interesting boundary conditions.


What Can You Do With A Math Degree Anyway?, Steven Thorsen Oct 2016

What Can You Do With A Math Degree Anyway?, Steven Thorsen

Mathematics Colloquium

This talk presents what can be done with a degree in mathematics in these exciting times. Often, those finishing a four-year degree have little idea what to expect in a career outside of teaching. This presentation will outline the possibilities and the speaker will discuss from experience potential careers, the market place, how to start, and some surprising examples of what mathematicians do. Tips for job seekers are included and a lively Q&A will follow.


Spatial Population Models With Fitness Based Dispersal, Chris Cosner Oct 2016

Spatial Population Models With Fitness Based Dispersal, Chris Cosner

Mathematics Colloquium Series

Traditional continuous time models in spatial ecology typically describe movement in terms of linear diffusion and advection, which combine with nonlinear population dynamics to produce semi-linear parabolic equations and systems. In environments that are favorable everywhere in the sense that the local population growth rate is always positive, organisms can use linear advection and diffusion to achieve an optimal spatial distribution. (Here optimal means evolutionarily stable.) In regions where there are environmental “sinks” where the local growth rate is negative, it does not seem possible to achieve an optimal distribution via linear dispersal. It is possible for organisms using advection …


Fractal Analysis Of Dna Sequences, Christian G. Arias, Pedro Antonio Moreno Phd, Carlos Tellez Oct 2016

Fractal Analysis Of Dna Sequences, Christian G. Arias, Pedro Antonio Moreno Phd, Carlos Tellez

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Bounds On The Expected Size Of The Maximum Agreement Subtree, Colby Long, Daniel Irving Bernstein, Lam Si Tung Ho, Mike Steel, Katherine St. John, Seth Sullivant Oct 2016

Bounds On The Expected Size Of The Maximum Agreement Subtree, Colby Long, Daniel Irving Bernstein, Lam Si Tung Ho, Mike Steel, Katherine St. John, Seth Sullivant

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy Oct 2016

General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Exploring The Space Of Rna Secondary Structures, Heather C. Smith Oct 2016

Exploring The Space Of Rna Secondary Structures, Heather C. Smith

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Development Of Honesty In Repeated Signalling Games, Michael I. Leshowitz Oct 2016

Development Of Honesty In Repeated Signalling Games, Michael I. Leshowitz

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Territorial Movement Game, Jan Rychtar Oct 2016

Territorial Movement Game, Jan Rychtar

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Markov Chains On Graphical Models Of Gene Regulation, Megan Bernstein Oct 2016

Markov Chains On Graphical Models Of Gene Regulation, Megan Bernstein

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Framework For The Teaching Of Modeling For Biologists, M. Drew Lamar, Carrie Diaz Eaton Oct 2016

A Framework For The Teaching Of Modeling For Biologists, M. Drew Lamar, Carrie Diaz Eaton

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Genome Rearrangement: Graphs And Matrices, Jeffrey Davis Oct 2016

Genome Rearrangement: Graphs And Matrices, Jeffrey Davis

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Designing And Mentoring In A Research Experience For Undergraduates, Alex Capaldi Oct 2016

Designing And Mentoring In A Research Experience For Undergraduates, Alex Capaldi

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


On The Expected Number Of Crossings In A Tanglegram, Eva Czabarka Oct 2016

On The Expected Number Of Crossings In A Tanglegram, Eva Czabarka

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, Anne E. Yust, Erin N. Bodine Oct 2016

Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, Anne E. Yust, Erin N. Bodine

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


On The Perfect Reconstruction Of The Structure Of Dynamic Networks, Alan Veliz-Cuba Oct 2016

On The Perfect Reconstruction Of The Structure Of Dynamic Networks, Alan Veliz-Cuba

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Spectral Graph Theory And New Stability Measures For Deterministic Gene Regulatory Networks, Fusun Akman, Devin Akman Oct 2016

Spectral Graph Theory And New Stability Measures For Deterministic Gene Regulatory Networks, Fusun Akman, Devin Akman

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Extracting Biochemical Parameters From Protein Distributions Of Vascular Cells, Partha Srinivasan Oct 2016

Extracting Biochemical Parameters From Protein Distributions Of Vascular Cells, Partha Srinivasan

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Interdisciplinary Undergraduate Research In Biofluids, Eva M. Strawbridge Oct 2016

Interdisciplinary Undergraduate Research In Biofluids, Eva M. Strawbridge

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Comparing The Effects Of General And Selective Culling On Chronic Wasting Disease (Cwd) Prevalence, Elliott J. Moran Oct 2016

Comparing The Effects Of General And Selective Culling On Chronic Wasting Disease (Cwd) Prevalence, Elliott J. Moran

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Dem-Cfd Numerical Simulation And Experimental Validation Of Heat Transfer And Two-Component Flow In Fluidized Bed, Feihong Guo Oct 2016

Dem-Cfd Numerical Simulation And Experimental Validation Of Heat Transfer And Two-Component Flow In Fluidized Bed, Feihong Guo

The 8th International Conference on Physical and Numerical Simulation of Materials Processing

No abstract provided.


Modeling And Methods Of Signal Separations With Applications In Spectroscopic Sensing, Yuanchang Sun Sep 2016

Modeling And Methods Of Signal Separations With Applications In Spectroscopic Sensing, Yuanchang Sun

Mathematics Colloquium Series

Spectroscopic sensing is a powerful and a widely used family of techniques for detecting and identifying chemical and biological substances. For example, nuclear magnetic resonance (NMR) relies on the magnetic properties of the atomistic nucleus to determine the molecular structures. Raman spectroscopy (RS) uses laser light scattering and the resulting energy shift of photons to sense the vibrational modes of a sample. In remote sensing, hyperspectral imaging (HSI) makes use of hundreds of contiguous spectral bands to identify nearly invisible objects at subpixel level. Differential optical absorption spectroscopy (DOAS) is based on the light absorption property of matter to identify …


A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde May 2016

A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde

Biology and Medicine Through Mathematics Conference

No abstract provided.


Growth Dynamics For Pomacea Maculata, Lihong Zhao, Karyn L. Sutton, Jacoby Carter May 2016

Growth Dynamics For Pomacea Maculata, Lihong Zhao, Karyn L. Sutton, Jacoby Carter

Biology and Medicine Through Mathematics Conference

No abstract provided.


Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu May 2016

Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu

Biology and Medicine Through Mathematics Conference

No abstract provided.


Robust Traveling Waves In Chains Of Simple Neural Oscillators, Stanislav M. Mintchev May 2016

Robust Traveling Waves In Chains Of Simple Neural Oscillators, Stanislav M. Mintchev

Biology and Medicine Through Mathematics Conference

No abstract provided.


Exploring Argumentation, Objectivity, And Bias: The Case Of Mathematical Infinity, Ami Mamolo May 2016

Exploring Argumentation, Objectivity, And Bias: The Case Of Mathematical Infinity, Ami Mamolo

OSSA Conference Archive

This paper presents an overview of several years of my research into individuals’ reasoning, argumentation, and bias when addressing problems, scenarios, and symbols related to mathematical infinity. There is a long history of debate around what constitutes “objective truth” in the realm of mathematical infinity, dating back to ancient Greece (e.g., Dubinsky et al., 2005). Modes of argumentation, hindrances, and intuitions have been largely consistent over the years and across levels of expertise (e.g., Brown et al., 2010; Fischbein et al., 1979, Tsamir, 1999). This presentation examines the interrelated complexities of notions of objectivity, bias, and argumentation as manifested in …