Mathematics Commons^™

Ph Dependent C-Jejuni Thermal Inactivation Models And Application To Poultry Scalding, Zachary Mccarthy, Ben Smith, Aamir Fazil, Jianhong Wu, Shawn D. Ryan, Daniel Munther

Mathematics and Statistics Faculty Publications

Campylobacter jejuni related outbreaks and prevalence on retail poultry products pose threats to public health and cause financial burden worldwide. To resolve these problems, it is imperative to take a closer look at poultry processing practices and standards. Using available data (D-values) on the thermal inactivation of C. jejuni we develop a comprehensive inactivation model, taking into account the variation of strain-specific heat resistance, experimental method, and suspension pH. Utilizing our C. jejuni thermal inactivation model, we study the poultry scalding process. We present a mechanistic model of bacteria transfer and inactivation during a typical immersion scald in a high-speed …

Data Parsing For Optimized Molecular Geometry Calculations, Luke Rens

Undergraduate Research Conference

The purpose of this project is to optimize and streamline to process of using ADF and ReaxFF. There is no efficient way to effectively add constraints to a compound and run it through ADF, take the ADF output and create a file that can be run through Reaxff, then take that Reaxff output and come to conclusions on it. To streamline this process, scripts were developed using Python to parse information out of data generated by ADF.

Surfaces Of Revolution In Virtual Reality, Joshua Harris

Undergraduate Research Conference

Why is this project needed?

❑ Surfaces of Revolution is many student’s first experience with three dimensional mathematical objects.

❑ The calculations required are not the inhibitor of the student’s understanding.

❑ Visualization of these solids along with the appropriate set up are the greatest hindrance to a deep under-standing of surfaces of revolution.

❑ Other tools that create computer generated visualizations of surfaces and curves in space render them as two-dimensional projections of a three dimensional object.

❑ Other tools typically do not have the capabilities of guided instruction, exploration of concepts on carefully chosen examples, and the ability …

Determination Differences Between Men And Women In Mathematics, Lacy Cook

Undergraduate Research Conference

We analyzed data collected from 35 Tyler Junior College Students collected over three testing sessions. Students were asked to take a five-question math test. The test included four questions from the American High School Math Examination, where the problems are designed to be solvable for students without any upper level (calculus) mathematics background as well as one randomly generated question. Students were asked to take as much time as they needed, but no longer than one hour to complete the test. We used the amount of time spent on the test to measure the students' level of determination. The goal …

Plenary Speaker Biographies, Peter Keating, Hart Zwingelberg

Carolinas Sports Analytics Meeting

Biographies of the 2019 Plenary Speakers for the Carolina Sports Analytics Meeting

Carolinas Sports Analytics Meeting. 2019 Schedule, Ben Grannan

Carolinas Sports Analytics Meeting

No abstract provided.

A Non Local Problem For A Parabolic-Hyperbolic Equation, A. Rafiqov, А. Sotvoldiev

Scientific journal of the Fergana State University

In the paper a non local problem for a model parabolic hyperbolic equation is researched. The third boundary condition and an integral condition are given in the parabolic part of the domain, and a shifting condition is given in the hyperbolic part of the domain. The existence and uniqueness of the solution of the problem is proved.

The Construction Of The Theorem With Predicates And Quantors, I. Nematov, S. Kukieva

Scientific journal of the Fergana State University

This article discusses the use of discrete mathematics and mathematical loqic in the relay-contact circuits, the design of automatic circuits and programming.

The Task Of Koshi For Ordinary Differential Equation Of First Order Which Refer To Equation Of Bernoulli, M. Azizov, S Rustamova

Scientific journal of the Fergana State University

This article investigates the uniqueness and existence of solution of the Koshi task for the ordinary differential equation of the first order which refer to Bernoulli equation. The uniqueness of the issue is proved by the principle of extremes

Applying The Derivative Of A Funktion To Solve Equations, А. O’Rinov, G Sobirjonova

Scientific journal of the Fergana State University

In this article explaining method of finding an approximate answer of different non-standart equations with derivative of a function

About Local And Non-Local Problems For A Fractional Order Ordinary Differential Equation, D. Oripov

Scientific journal of the Fergana State University

Boundary-value problems local and non-local conditions for a fractional ordinary differential equation were set and solutions of these problems were found explicitly

Pseudo Conservative Spheres And Their Features, N. Tuhtasinova

Scientific journal of the Fergana State University

In this article pseudo conservative spheres and their features are investigated

Validation Of A Lottery, Xiaona Zhou

Publications and Research

The NY Pick 4 lottery consists of four "randomly" chosen digits from 0 to 9. For this to be fair, each digit should be equally likely to occur. To determine whether this is the case, a Chi-squared goodness of fit test will be applied to historical data. This provides a quantitative way of measuring how well the observed frequency of digits matches our expectations of a fair lottery. We also explore the "Lucky Sum", which is also a part of the Pick 4. We determine which sum is most likely to occur, and what the odds of winning are if …

Realization Of Tensor Product And Of Tensor Factorization Of Rational Functions, Daniel Alpay, Izchak Lewkowicz

Mathematics, Physics, and Computer Science Faculty Articles and Research

We study the state space realization of a tensor product of a pair of rational functions. At the expense of “inflating” the dimensions, we recover the classical expressions for realization of a regular product of rational functions. Under an additional assumption that the limit at infinity of a given rational function exists and is equal to identity, we introduce an explicit formula for a tensor factorization of this function.

An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith

Student Scholar Showcase

Blood flow to the tissue of the hands and digits is efficiently regulated by vasoconstriction and vasodilation. Through a series of cadaveric dissection, we examined arteries in the hands and digits, including ulnar artery, radial artery, palmar arteries, and digital arteries, for their distribution (branching) patterns and morphological parameters (e.g., thickness, length between branches, external and internal diameters). Using data directly collected from three female cadavers as input variables to our mathematical model, we simulated vasoconstriction (-20% and -10% diameter) and vasodilation (+10% and +20 diameter) to evaluate the extent of changes in blood volume and flow within the arteries. …

Group Theoretical Analysis Of Arbitrarily Large, Colored Square Grids, Brett Ehrman

Student Scholar Showcase

In this research, we examine n x n grids whose individual squares are each colored with one of k distinct colors. We seek a general formula for the number of colored grids that are distinct up to rotations, reflections, and color reversals. We examine the problem using a group theoretical approach. We define a specific group action that allows us to incorporate Burnside’s Lemma, which leads us to the desired general results

Frank Lloyd Wright: Materials Science And Algebra In Prairie Style Art Glass, Lindsey Herlehy, Patrick Young

Publications & Research

These two lessons are intended for students in Grades 7 - 10 and Pre-Algebra and Algebra courses as an introduction to the mathematics and materials science of Frank Lloyd Wright’s Prairie Style art glass.

Illuminating Changes In Preservice Teachers’ Perceptions About Teaching Elementary Mathematicsin An Introductory Methods Course, Elaine Cerrato

USF Tampa Graduate Theses and Dissertations

Producing highly skilled elementary mathematics teachers capable of facilitating mathematics learning in ways aligned with The Principles and Standards for School Mathematics (NCTM, 2000) and the Common Core State Standards for Mathematics (CCSSM), is a common objective of teacher preparation programs (National Governors Association & Chief Council of State School Officers, 2010). After decades of effort, Brown (2003) argues, teachers continue to teach in the way they were taught; thus, they disregard mathematics standards. As Abell, Appleton, and Hanuscin (2010) note, students’ preexisting ideas relevant to the nature of learning and teaching stem from experiences in their schooling, life, and …

A More Powerful Unconditional Exact Test Of Homogeneity For 2 × C Contingency Table Analysis, Louis Ehwerhemuepha, Heng Sok, Cyril Rakovski

Mathematics, Physics, and Computer Science Faculty Articles and Research

The classical unconditional exact p-value test can be used to compare two multinomial distributions with small samples. This general hypothesis requires parameter estimation under the null which makes the test severely conservative. Similar property has been observed for Fisher's exact test with Barnard and Boschloo providing distinct adjustments that produce more powerful testing approaches. In this study, we develop a novel adjustment for the conservativeness of the unconditional multinomial exact p-value test that produces nominal type I error rate and increased power in comparison to all alternative approaches. We used a large simulation study to empirically estimate the …

Fractional Matching Preclusion For Butterfly Derived Networks, Xia Wang, Tianlong Ma, Chengfu Ye, Yuzhi Xiao, Fang Wang

Theory & Applications of Graphs

The matching preclusion number of a graph is the minimum number of edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings. As a generalization, Liu and Liu [18] recently introduced the concept of fractional matching preclusion number. The fractional matching preclusion number (FMP number) of G, denoted by fmp(G), is the minimum number of edges whose deletion leaves the resulting graph without a fractional perfect matching. The fractional strong matching preclusion number (FSMP number) of G, denoted by fsmp(G), is the minimum number of vertices and edges whose deletion …