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Visions Of Science: An Art Historical Exploration Of Medieval Scientific Manuscripts, Olivia Brock
Visions Of Science: An Art Historical Exploration Of Medieval Scientific Manuscripts, Olivia Brock
Undergraduate Honors Capstone Projects
The late 16th century saw a new movement in the world of science to push scientific ideas and practice out of academia and into the hands of the layman. No longer were scholars the sole proprietors of science –everyday laborers, craftsman, and artists now had practical scientific principles at their fingertips that they could incorporate into their professions. This new spread of science was facilitated in several ways, including the publication of books incorporating detailed, explanatory images, new utilitarian instruments, and public lectures. Though science was disseminated through a variety of means, I have been particularly interested in the ways …
Nato And The Ifrc: A Comparative Case Study, Abigail Kosiak
Nato And The Ifrc: A Comparative Case Study, Abigail Kosiak
Undergraduate Honors Capstone Projects
This research analyzes the North Atlantic Treaty Organization's (NATO) Multinational Telemedicine System (MnTS) Project and works to answer five main questions:
1) What challenges did the NATO MnTS Project face that are directly related to the fact that the project included members from different countries and worked to create a system that operates across national borders?
2) How do these challenges compare to those faced by a non-governmental organization (NGO) like the International Federation of the Red Cross and Red Crescent Societies (IFRC)?
3) What successes has the IFRC had with its current operational model?
4) In what ways could …
The Two Types Of Society: Computationally Revealing Recurrent Social Formations And Their Evolutionary Trajectories, Lux Miranda
The Two Types Of Society: Computationally Revealing Recurrent Social Formations And Their Evolutionary Trajectories, Lux Miranda
Undergraduate Honors Capstone Projects
Comparative social science has a long history of attempts to classify societies and cultures in terms of shared characteristics. However, only recently has it become feasible to conduct quantitative analysis of large historical datasets to mathematically approach the study of social complexity and classify shared societal characteristics. Such methods have the potential to identify recurrent social formations in human societies and contribute to social evolutionary theory. However, in order to achieve this potential, repeated studies are needed to assess the robustness of results to changing methods and data sets. Using an improved derivative of the Seshat: Global History Databank, we …
Boolean Rank And Isolation Number Of N-Regular Tournaments, Matthew F. Deangelo
Boolean Rank And Isolation Number Of N-Regular Tournaments, Matthew F. Deangelo
Undergraduate Honors Capstone Projects
We examine Boolean rank and isolation number of a class of matrices, the adjacency matrices of regular tournaments. Boolean rank is defined as the minimum k such that a m x n matrix can be factored into m x k and k x n matrices, using Boolean arithmetic. Isolation number is defined as the maximum number of 1’s that do not share a row, column, or 2 x 2 submatrix of 1’s. Linear programming can be applied by using the underlying structure of the tournament matrices to develop a relationship between Boolean rank and isolation number. We show possible methods …
Demystification Of Graph And Information Entropy, Bryce Frederickson
Demystification Of Graph And Information Entropy, Bryce Frederickson
Undergraduate Honors Capstone Projects
Shannon entropy is an information-theoretic measure of unpredictability in probabilistic models. Recently, it has been used to form a tool, called the von Neumann entropy, to study quantum mechanics and network flows by appealing to algebraic properties of graph matrices. But still, little is known about what the von Neumann entropy says about the combinatorial structure of the graphs themselves. This paper gives a new formulation of the von Neumann entropy that describes it as a rate at which random movement settles down in a graph. At the same time, this new perspective gives rise to a generalization of von …
Analysis Of Sat And Isat Scores For Madison School District In Rexburg, Idaho, Holly Dawn Palmer
Analysis Of Sat And Isat Scores For Madison School District In Rexburg, Idaho, Holly Dawn Palmer
Undergraduate Honors Capstone Projects
Testing is an integral part of measuring education. If used properly SAT scores can be compared across the nation, and statewide tests can compare different school districts to each other if done properly to avoid certain pitfalls (Fetler, 1991). However, if tests do not have a significant impact on a student, their motivation to take the test will be low and test quality cannot be assumed. When the state funds two separate tests for their students but only one has a significant impact on the student, how should the scores for each test be used, and is it okay to …
Relations Between Theta Functions Of Genus One And Two From Geometry, Thomas Hill
Relations Between Theta Functions Of Genus One And Two From Geometry, Thomas Hill
Undergraduate Honors Capstone Projects
Genus-two curves with special symmetries are related to pairs of genus-one curves by two and three-sheeted ramified coverings. This classical work dates back to early 20th century and is known as Jacobi and Hermite reduction. Jacobians of genus-two curves can be used to construct complex two-dimensional complex projective manifolds known as Kummer surfaces. On the other hand, the defining coordinates and parameters of both elliptic curves and Kummer surfaces can be related to Riemann Theta functions and Siegel Theta functions, respectively. This result goes back to the seminal work of Mumford in the 1980s. We use the geometric relation between …
Mindset, Attitudes, And Success In Statistics, Matthew Isaac
Mindset, Attitudes, And Success In Statistics, Matthew Isaac
Undergraduate Honors Capstone Projects
Students in many disciplines are required to take an introductory statistics course while pursuing a college education. Despite the utility of statistical methods in future research and career pursuits, many students have negative views of statistics. We are interested in how students' mindsets and attitudes towards statistics impact their performance in an undergraduate statistics course. We administered a survey to students in several undergraduate statistics courses at Utah State University. This survey included questions addressing mathematics experience, attitudes towards statistics, mindset, and course performance. We observed that the majority of students indicated the presence of a growth mindset and positive …
Regime Switching In Cointegrated Time Series, Bradley David Zynda Ii
Regime Switching In Cointegrated Time Series, Bradley David Zynda Ii
Undergraduate Honors Capstone Projects
Volatile commodities and markets can often be difficult to model and forecast given significant breaks in trends through time. To account such breaks, regime switching methods allow for models to accommodate abrupt changes in behavior of the data. However, the difficulty often arises in beginning the process of choosing a model and its associated parameters with which to represent the data and the objects of interest. To improve model selection for these volatile markets, this research examines time series with regime switching components and argues that a synthesis of vector error correction models with regime switching models with ameliorate financial …
Sexual Assault And The Doctrine Of Chances, Ryan Wallentine
Sexual Assault And The Doctrine Of Chances, Ryan Wallentine
Undergraduate Honors Capstone Projects
Sexual assault is a crime whose offenders often commit multiple acts and its victims experience devastating effects. The doctrine of chances is a rule of evidence that may allow evidences of these past events or circumstances to be presented in a court case given they meet certain criteria. This research argues the probability of being innocently prosecuted for rape multiple times is sufficiently low to meet at least one of the criteria for the doctrine of chances to be used in a sexual assault case. Additional implications and related areas of research are included as well.
Tournament Directed Graphs, Sarah Camille Mousley
Tournament Directed Graphs, Sarah Camille Mousley
Undergraduate Honors Capstone Projects
Paired comparison is the process of comparing objects two at a time. A tournament in Graph Theory is a representation of such paired comparison data. Formally, an n-tournament is an oriented complete graph on n vertices; that is, it is the representation of a paired comparison, where the winner of the comparison between objects x and y (x and y are called vertices) is depicted with an arrow or arc from the winner to the other.
In this thesis, we shall prove several results on tournaments. In Chapter 2, we will prove that the maximum number of vertices …
Spock, Euler, And Madison: Graph Theory In The Classroom, Michael Buhler
Spock, Euler, And Madison: Graph Theory In The Classroom, Michael Buhler
Undergraduate Honors Capstone Projects
This work is an attempt to accomplish two main objectives. First is to encourage secondary students to engage in the kinds of mathematical reasoning skills that will be necessary to them when they move to college math classes. My experience in college, along with that of many others is that "school math," with its obsession with calculations and memorization, is dreadfully insufficient in preparing students for the proof and reasoning-based classes they will face in high school. This is an attempt to integrate some of those reasoning skills into high school courses using graph theory as a vehicle.
The second …
Ultrasonic Analysis Of Breast Tissue For Pathology Classification, Kristina Marie Sorensen
Ultrasonic Analysis Of Breast Tissue For Pathology Classification, Kristina Marie Sorensen
Undergraduate Honors Capstone Projects
Real time measurements may assist surgeons in obtaining negative or cancer free margins during lumpectomy to eliminate invasive re-excision. Previous findings show that high-frequency ultrasound can differentiate between a range of breast pathologies in surgical specimens. Two parameters, peak density and second-order spectral slope, are sensitive to histopathology. Our objective was to determine the mechanism linking high-frequency ultrasound to histology. The hypothesis is that ultrasound sensitivity is a function of the microscopic heterogeneity (and thus histology) of the tissue. Ultrasonic results from breast specimens were used to construct a multivariate analysis of the parameters that permitted differentiation of normal, adipose, …
Critical Issues In Middle And Secondary Mathematics Placement: A Case Study, Morgan E. Summers
Critical Issues In Middle And Secondary Mathematics Placement: A Case Study, Morgan E. Summers
Undergraduate Honors Capstone Projects
This qualitative research project focuses on the issues facing middle and secondary mathematics placement through an extensive literature review as well as a case study of a local school district. As students move from elementary school to middle and secondary schools, they are placed into classes that appear to be based on ability. One of the driving questions of this project is how is this ability level determined? Through an in-‐depth look at one school district, it is found that a primary source of information is both norm-‐referenced and criterion-‐referenced assessments given to students in fifth and eighth grades. In …
Improving Utah State University's Healthcare Plan, Aleece Blake
Improving Utah State University's Healthcare Plan, Aleece Blake
Undergraduate Honors Capstone Projects
Utah State University provides health insurance for 10,400 people (3,500 contracts). Employees of the university who qualify for this insurance have the option to pick one of 2 plans, Blue or White. Utah State essentially self-insures these plans, and Blue Cross Blue Shield administers them. This means that the university has a reserve set up to pay the medical claims of all of the people covered by these plans and bears most of the risk associated with providing this insurance. Some of the risk is transferred from the university to the covered individuals through deductibles, coinsurance, and copayments. The rest …
Mathematical Functions: An Interactive Emodule, Sarah Jean Moody
Mathematical Functions: An Interactive Emodule, Sarah Jean Moody
Undergraduate Honors Capstone Projects
The National Library of Virtual Manipulatives (NLVM, http://nlvm.usu.edu/) is a widely used and highly praised teaching/learning resource for school mathematics. The NLVM is the result of a four-year USU project, funded primarily by the National Science Foundation, Award #9819107, to create a web-based, freely accessible, library of interactive virtual manipulatives to help students learn basic mathematics concepts. During a typical school day, the NLVM server receives more than 3 million hits.
Predicting Mountain Pine Beetle Development With The Extended Von Foerster Model, Jeffrey Tullis Leek
Predicting Mountain Pine Beetle Development With The Extended Von Foerster Model, Jeffrey Tullis Leek
Undergraduate Honors Capstone Projects
The mountain pine beetle (Dendroctonus ponderosae Hopkins) represents a significant threat to ponderosa pine and lodgepole pine stands in the western United States, and has the potential to threaten commercially valuable jack pine in both the United States and Canada. The success of the mountain pine beetle is based on synchronization of developmental events to time cold-hardened life stages for extreme winter temperatures and to facilitate mass attack and overwhelm the defenses of the host. This paper presents a solution methodology for an extended McKendrick - von Foerster model for the development of the mountain pine beetle in varying …
History Of Fermat's Last Theorem, Amanda Brown
History Of Fermat's Last Theorem, Amanda Brown
Undergraduate Honors Capstone Projects
Around 1637, Pierre de Fermat made a now-famous mathematical conjecture. However, Fermat's conjecture neither began nor ended with him. Fermat's last theorem, as the conjecture is called, has roots approximately 3600 years old. The proof of the theorem was not realized until 1994, over 350 years after it was proposed by Fermat.
Geršgorin And Beyond•••, Jason Knight Belnap
Geršgorin And Beyond•••, Jason Knight Belnap
Undergraduate Honors Capstone Projects
Eigenvalues are useful in various areas of mathematics, such as in testing the critical values of a multi variable function to see if it is a local extrema. One of the more common ways to define eigenvalues is:
Definition (1): Given that A is an n by n matrix, λ is an eigenvalue of A if and only if det(A - λIn) = 0. Any nonzero vector in Null(A - λI) is called an eigenvector associated with λ.