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Cohen Factorizations: Weak Functoriality And Applications, Saeed Nasseh, Sean Sather-Wagstaff 2017 Georgia Southern University

Cohen Factorizations: Weak Functoriality And Applications, Saeed Nasseh, Sean Sather-Wagstaff

Saeed Nasseh

We investigate Cohen factorizations of local ring homomorphisms from three perspectives. First, we prove a “weak functoriality” result for Cohen factorizations: certain morphisms of local ring homomorphisms induce morphisms of Cohen factorizations. Second, we use Cohen factorizations to study the properties of local ring homomorphisms (Gorenstein, Cohen–Macaulay, etc.) in certain commutative diagrams. Third, we use Cohen factorizations to investigate the structure of quasi-deformations of local rings, with an eye on the question of the behavior of CI-dimension in short exact sequences.


Transformation Based Endorsement Systems, Thomas Sudkamp 2017 Wright State University - Main Campus

Transformation Based Endorsement Systems, Thomas Sudkamp

Thomas Sudkamp

Evidential reasoning techniques classically represent support for a hypothesis by a numeric value or an evidential interval. The combination of support is performed by an arithmetic rule which often requires restrictions to be placed on the set of possibilities. These assumptions usually require the hypotheses to be exhausitive and mutually exclusive. Endorsement based classification systems represent support for the alternatives symbolically rather than numerically. A framework for constructing endorsement systems is presented in which transformations are defined to generate and update the knowledge base. The interaction of the knowledge base and transformations produces a non-monotonic reasoning system. Two endorsement based ...


Using Multivariate Statistical Techniques To Aid In A Sports Index Construction, Tiffany Kelly 2017 ESPN Stats & Information Group

Using Multivariate Statistical Techniques To Aid In A Sports Index Construction, Tiffany Kelly

Mathematics Colloquium Series

Within a quantitative career, you are/will soon be challenged to create an overall value to explain a situational status. For example, socio-economic status, well-being, and in this specific example, happiness among sports fans. This talk seeks to discuss my previous work developed out from student research performed at NSU in its application to my first project for ESPN Sports Analytics, the College Football Fan Happiness Index (http://es.pn/2vmParA) . I will dive into the multivariate statistical techniques of principal component analysis and hierarchal clustering to create this happiness index from a slew of variables.


An Extended Formulation Of The Convex Recoloring Problem On A Phylogenetic Tree, Sangho Shim 2017 Illinois State University

An Extended Formulation Of The Convex Recoloring Problem On A Phylogenetic Tree, Sangho Shim

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo 2017 Cylance, Inc.

Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Modeling Bacillus Anthracis Infection In Vitro, Maria Macias-Bedolla, Yareley Gonzalez 2017 University of St Francis

Modeling Bacillus Anthracis Infection In Vitro, Maria Macias-Bedolla, Yareley Gonzalez

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Repeat And Return Patterns In Double Occurrence Words, Lukas Nabergall 2017 University of South Florida

Repeat And Return Patterns In Double Occurrence Words, Lukas Nabergall

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


An Improved Pairwise- Approximation Technique For Studying The Dynamics Of A Probabilistic, Two- State Lattice Model Of Intracellular Cardiac Calcium, Robert J. Rovetti 2017 Loyola Marymount University

An Improved Pairwise- Approximation Technique For Studying The Dynamics Of A Probabilistic, Two- State Lattice Model Of Intracellular Cardiac Calcium, Robert J. Rovetti

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Mathematical Modeling Of Inhibitory Effects On Chemically Coupled Neurons, Nathhaniel Harraman, Epaminondas Rosa 2017 Illinois State University

Mathematical Modeling Of Inhibitory Effects On Chemically Coupled Neurons, Nathhaniel Harraman, Epaminondas Rosa

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Temperature Effects On Neuronal Tonic-To-Bursting Transitions, Manuela Burek, Epaminondas Rosa 2017 Illinois State University

Temperature Effects On Neuronal Tonic-To-Bursting Transitions, Manuela Burek, Epaminondas Rosa

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


A Brief History Of Neuroscience, Zachary Mobille, Epaminondas Rosa 2017 Illinois State University

A Brief History Of Neuroscience, Zachary Mobille, Epaminondas Rosa

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Learning And Control Using Gaussian Processes, Achin Jain, Truong X Nghiem, Manfred Morari, Rahul Mangharam 2017 University of Pennsylvania

Learning And Control Using Gaussian Processes, Achin Jain, Truong X Nghiem, Manfred Morari, Rahul Mangharam

Real-Time and Embedded Systems Lab (mLAB)

Building physics-based models of complex physical systems like buildings and chemical plants is extremely cost and time prohibitive for applications such as real-time optimal control, production planning and supply chain logistics. Machine learning algorithms can reduce this cost and time complexity, and are, consequently, more scalable for large-scale physical systems. However, there are many practical challenges that must be addressed before employing machine learning for closed-loop control. This paper proposes the use of Gaussian Processes (GP) for learning control-oriented models: (1) We develop methods for the optimal experiment design (OED) of functional tests to learn models of a physical system ...


On The Location Of Eigenvalues Of Real Matrices, Rachid Marsli, Frank Hall 2017 King Fahd University of Petroleum and Minerals

On The Location Of Eigenvalues Of Real Matrices, Rachid Marsli, Frank Hall

Electronic Journal of Linear Algebra

The research in this paper is motivated by a recent work of I. Barany and J. Solymosi [I. Barany and J. Solymosi. Gershgorin disks for multiple eigenvalues of non-negative matrices. Preprint arXiv no. 1609.07439, 2016.] about the location of eigenvalues of nonnegative matrices with geometric multiplicity higher than one. In particular, an answer to a question posed by Barany and Solymosi, about how the location of the eigenvalues can be improved in terms of their geometric multiplicities is obtained. New inclusion sets for the eigenvalues of a real square matrix, called Ger\v{s}gorin discs of the second ...


The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett 2017 Colorado State University-Pueblo

The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett

Abstract Algebra

No abstract provided.


Gaussian Guesswork: Infinite Sequences And The Arithmetic-Geometric Mean, Janet Heine Barnett 2017 Colorado State University-Pueblo

Gaussian Guesswork: Infinite Sequences And The Arithmetic-Geometric Mean, Janet Heine Barnett

Calculus

No abstract provided.


The Pell Equation In India, Toke Knudson, Keith Jones 2017 Ursinus College

The Pell Equation In India, Toke Knudson, Keith Jones

Number Theory

No abstract provided.


Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett 2017 Colorado State University-Pueblo

Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett

Number Theory

No abstract provided.


Imitating The Shazam App With Wavelets, Edward Aboufadel 2017 Grand Valley State University

Imitating The Shazam App With Wavelets, Edward Aboufadel

Peer Reviewed Articles

With the Shazam smartphone app, a listener captures a short excerpt of a recorded song with the smartphone's microphone, and in a matter of moments the app reports the name of the song and the artist. Fourier analysis is a key mathematical tool that powers the app. In this paper, we describe a wavelet-based method that captures the basic process used by the Shazam app to search a database of number sequences (signals) to find those that are similar to a test signal. We will describe our implementation with a different source of signals: continuous glucose monitor data from ...


Inquiry Into Saving [Mathematics], Jeanne Funk 2017 CUNY La Guardia Community College

Inquiry Into Saving [Mathematics], Jeanne Funk

Open Educational Resources

‘Inquiry Into Saving’ is an assignment originally designed for MAT117, which is a course for students who have been placed in basic skills mathematics and who can apply a college level course in Algebra and Trigonometry to their program. These students should, ideally, be early in their LaGuardia career, though that is frequently not the case. All, however, are novices of mathematics. The assignment was vetted and revised based on feedback from the Inquiry and Problem Solving in STEM CTL seminar and a charrette not affiliated with the seminar. Revisions addressed connections to the Inquiry and Problem Solving/Written competency ...


World Population Dynamics: Modeling Involving Polynomial Functions [Mathematics], Mangala Kothari 2017 CUNY La Guardia Community College

World Population Dynamics: Modeling Involving Polynomial Functions [Mathematics], Mangala Kothari

Open Educational Resources

In this Inquiry and Problem Solving Assignment students are expected to reflect on their analysis and compare their results with the actual population by conducting their own elementary level research such as searching databases, gathering information and interpreting. Students are expected to comment on the scope of the mathematical model and connect their learning in context to the real-world problem. The assignment includes open-ended questions such as: Write a paragraph about the dynamics of population for the world. What could be some of the possible parameters that contribute to the change in population size? Reflect on what you learned by ...


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