Digital Commons Network^™

Pattern Recognition In High-Dimensional Data, Matthew Dannenberg

HMC Senior Theses

Vast amounts of data are produced all the time. Yet this data does not easily equate to useful information: extracting information from large amounts of high dimensional data is nontrivial. People are simply drowning in data. A recent and growing source of high-dimensional data is hyperspectral imaging. Hyperspectral images allow for massive amounts of spectral information to be contained in a single image. In this thesis, a robust supervised machine learning algorithm is developed to efficiently perform binary object classification on hyperspectral image data by making use of the geometry of Grassmann manifolds. This algorithm can consistently distinguish between a …

Graph Cohomology, Matthew Lin

HMC Senior Theses

What is the cohomology of a graph? Cohomology is a topological invariant and encodes such information as genus and euler characteristic. Graphs are combinatorial objects which may not a priori admit a natural and isomorphism invariant cohomology ring. In this project, given any finite graph G, we constructively define a cohomology ring H*(G) of G. Our method uses graph associahedra and toric varieties. Given a graph, there is a canonically associated convex polytope, called the graph associahedron, constructed from G. In turn, a convex polytope uniquely determines a toric variety. We synthesize these results, and describe the …

Convexity Of Neural Codes, Robert Amzi Jeffs

HMC Senior Theses

An important task in neuroscience is stimulus reconstruction: given activity in the brain, what stimulus could have caused it? We build on previous literature which uses neural codes to approach this problem mathematically. A neural code is a collection of binary vectors that record concurrent firing of neurons in the brain. We consider neural codes arising from place cells, which are neurons that track an animal's position in space. We examine algebraic objects associated to neural codes, and completely characterize a certain class of maps between these objects. Furthermore, we show that such maps have natural geometric implications related to …

The Global Stability Of The Solution To The Morse Potential In A Catastrophic Regime, Weerapat Pittayakanchit

HMC Senior Theses

Swarms of animals exhibit aggregations whose behavior is a challenge for mathematicians to understand. We analyze this behavior numerically and analytically by using the pairwise interaction model known as the Morse potential. Our goal is to prove the global stability of the candidate local minimizer in 1D found in A Primer of Swarm Equilibria. Using the calculus of variations and eigenvalues analysis, we conclude that the candidate local minimizer is a global minimum with respect to all solution smaller than its support. In addition, we manage to extend the global stability condition to any solutions whose support has a single …

Mathematical Modeling Of Blood Coagulation, Joana L. Perdomo

HMC Senior Theses

Blood coagulation is a series of biochemical reactions that take place to form a blood clot. Abnormalities in coagulation, such as under-clotting or over- clotting, can lead to significant blood loss, cardiac arrest, damage to vital organs, or even death. Thus, understanding quantitatively how blood coagulation works is important in informing clinical decisions about treating deficiencies and disorders. Quantifying blood coagulation is possible through mathematical modeling. This review presents different mathematical models that have been developed in the past 30 years to describe the biochemistry, biophysics, and clinical applications of blood coagulation research. This review includes the strengths and limitations …

William Murphy, Professor Of Law And Chair, Commerce And Tecnology Law Graduate Program Travels To Ireland, William Murphy

Faculty Travel Reports

UNH Law has long been a recognized leader in the area of intellectual property law education so it is only natural that UNH should seek to forge and strengthen bonds with legal institutions and professionals in Ireland.

How Affordances And Constraints Of Physical And Virtual Manipulatives Support The Development Of Procedural Fluency And Algorithmic Thinking In Mathematics, Jennifer Such, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

The purpose of this study was to examine how the affordances and constraints of physical and virtual manipulatives influence the development of students’ algorithmic thinking when learning algebra and rational number concepts. Thirty-six third-grade students participated in two weeks of instruction using physical and virtual manipulatives as instructional tools. The primary design of the study was a teaching experiment in which quantitative and qualitative data were collected to provide a holistic examination. Pre- and post-test items were used in the quantitative analysis following a within-subjects crossover repeated measures design. Students’ written work, a user survey, student interviews, field notes, and …

Structure Of Sheared And Rotating Turbulence: Multiscale Statistics Of Lagrangian And Eulerian Accelerations And Passive Scalar Dynamics, Frank G. Jacobitz, Kai Schneider, Wouter J. T. Bos, Marie Farge

School of Engineering: Faculty Scholarship

The acceleration statistics of sheared and rotating homogeneous turbulence are studied using direct numerical simulation results. The statistical properties of Lagrangian and Eulerian accelerations are considered together with the influence of the rotation to shear ratio, as well as the scale dependence of their statistics. The probability density functions (pdfs) of both Lagrangian and Eulerian accelerations show a strong and similar dependence on the rotation to shear ratio. The variance and flatness of both accelerations are analyzed and the extreme values of the Eulerian acceleration are observed to be above those of the Lagrangian acceleration. For strong rotation it is …

The Developmental Systems Approach And The Analysis Of Behavior, David S. Moore

Pitzer Faculty Publications and Research

The developmental systems approach is a perspective that has been adopted by increasing numbers of developmental scientists since it emerged in the twentieth century. The overview presented in this paper makes clear that proponents of this approach and proponents of modern behavior analysis should be natural allies. Despite some distinctions between the two schools of thought, the essential ideas associated with each are compatible with the other; in particular, scientists in both camps work to analyze the provenance of behavior and recognize the central role that contextual factors play in behavioral expression.

On The Similarity Of Ab And Ba For Normal And Other Matrices, Stephan Ramon Garcia, David Sherman, Gary Weiss

Pomona Faculty Publications and Research

It is known that AB and BA are similar when A and B are Hermitian matrices. In this note we answer a question of F. Zhang by demonstrating that similarity can fail if A is Hermitian and B is normal. Perhaps surprisingly, similarity does hold when A is positive semidefinite and B is normal.

Methods For Quantized Compressed Sensing, Hao-Jun Michael Shi, Mindy Case, Xiaoyi Gu, Shenyinying Tu, Deanna Needell

CMC Faculty Publications and Research

In this paper, we compare and catalog the performance of various greedy quantized compressed sensing algorithms that reconstruct sparse signals from quantized compressed measurements. We also introduce two new greedy approaches for reconstruction: Quantized Compressed Sampling Matching Pursuit (QCoSaMP) and Adaptive Outlier Pursuit for Quantized Iterative Hard Thresholding (AOP-QIHT). We compare the performance of greedy quantized compressed sensing algorithms for a given bit-depth, sparsity, and noise level.

Lattices From Tight Equiangular Frames, Albrecht Böttcher, Lenny Fukshansky, Stephan Ramon Garcia, Hiren Maharaj, Deanna Needell

CMC Faculty Publications and Research

We consider the set of all linear combinations with integer coefficients of the vectors of a unit tight equiangular (k,n) frame and are interested in the question whether this set is a lattice, that is, a discrete additive subgroup of the k-dimensional Euclidean space. We show that this is not the case if the cosine of the angle of the frame is irrational. We also prove that the set is a lattice for n=k+1 and that there are infinitely many k such that a lattice emerges for n=2k. We dispose of all cases in dimensions k at most 9. In …

Lattice Theory And Toeplitz Determinants, Albrecht Böttcher, Lenny Fukshansky, Stephan Ramon Garcia, Hiren Maharaj

CMC Faculty Publications and Research

This is a survey of our recent joint investigations of lattices that are generated by finite Abelian groups. In the case of cyclic groups, the volume of a fundamental domain of such a lattice is a perturbed Toeplitz determinant with a simple Fisher-Hartwig symbol. For general groups, the situation is more complicated, but it can still be tackled by pure matrix theory. Our main result on the lattices under consideration states that they always have a basis of minimal vectors, while our results in the other direction concern exact and asymptotic formulas for perturbed Toeplitz determinants. The survey is a …

On Arithmetic Lattices In The Plane, Lenny Fukshansky, Pavel Guerzhoy, Florian Luca

CMC Faculty Publications and Research

We investigate similarity classes of arithmetic lattices in the plane. We introduce a natural height function on the set of such similarity classes, and give asymptotic estimates on the number of all arithmetic similarity classes, semi-stable arithmetic similarity classes, and well-rounded arithmetic similarity classes of bounded height as the bound tends to infinity. We also briefly discuss some properties of the j-invariant corresponding to similarity classes of planar lattices.

Flipped Learning Instruction: Differentiating Mathematics Instruction Through The Use Of Technology, Nathan A. Flansburg

All Electronic Theses and Dissertations

This study examines the relationship between mathematics achievement and the instructional approach used (flipped versus traditional). A suburban school district located outside of the Twin Cities of Minneapolis and St. Paul implemented flipped learning instruction in one-half of all six elementary sites across the district. Half of the students in fifth grade mathematics classes received instruction via traditional lecture-style teaching methodology while the other half of the students received instruction via flipped learning instruction. Data was collected over three years time and a comparison of the quantitative results based on flipped versus non-flipped classes, differences between student groups as defined …

Arts Integration And Student Achievement, Sheryl Denise Ray

All Electronic Theses and Dissertations

Abstract This is a quantitative cross sectional survey design dual method study to test a theory that relates arts integration to achievement for students in grades two through six at three arts magnet schools and five non-arts schools in two school districts in Minnesota. Demographic groups studied included special education, ethnicity, socioeconomic status (FR), Limited English Proficiency (LEP), gender, and gifted. The dual design method included the use of cross tabulations, chi-square tests, MAP RIT results, and teacher practice survey responses to find relationships. Oreck’s (2000) Teaching with the Arts Survey (TWAS) was examined and used as a resource to …

A Case Study Of How Teacher Preparation Programs In Minnesota Are Preparing Elementary Teachers To Work With English Learners, Sarah Lynn Stay

All Electronic Theses and Dissertations

As the population of English Learners in mainstream classrooms across the United States continue to increase, it is critical that all classroom teachers (not just English language specialists) take responsibility for and are adequately prepared for working with and educating ELs. The exponential growth of culturally and linguistically diverse students in the public school system raises important questions about teacher preparation. Since academic achievement in elementary school directly correlates to high school graduation rates, it is critical to examine current teacher education programs and the opportunities within these programs that provide an understanding of EL needs. This study will examine …

Teacher Burnout: A Comparison Of Schools In North Dakota, Wayne R. Samson

All Electronic Theses and Dissertations

Teacher burnout is a substantial issue in education today, and its negative effects have been seen across the United States. This quantitative study will focus on the state of North Dakota and analyze teacher burnout through the lens of the number of students that a school serves. By implementing the Maslach Burnout Inventory-Educator’s Survey (MBI-ES) this study attempts to not only see the prevalence of teacher burnout between large and small schools in North Dakota, but also to understand if the causes for burnout are similar or different based upon student population in schools. According to the information gathered within …

Suffolk Journal, Vol. 76, No. 13, 2/10/2016, Suffolk Journal

Suffolk Journal

No abstract provided.

Student Fact Book, Fall 2016 - Fortieth Annual Edition, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student fact book has general demographic information on all students enrolled at Wright State University for Fall Semester, 2016.

Pisa 2015 : A First Look At Australia’S Results Data Tables [Excel] [Data Set], Sue Thomson, Lisa De Bortoli, Catherine Underwood

OECD Programme for International Student Assessment (PISA) Australia

The data tables for the report PISA 2015 : a first look at Australia's results (2016). This report provided a first look at the results from PISA 2015, and focused on the achievement results in scientific, reading and mathematical literacy.

Physics News, Winter 2016, College Of Arts And Sciences

Physics Newsletter

Contents:

Physics Alum Wins NSF Fellowship

Book Donation Noted

New Books... Familiar Authors

Physics Hosts Science Olympians

Students Recognized

Recent Graduates

Physics Department News

Recent Colloquia

Alumni Updates

R.N. To B.S.N. Curriculum, Nova Southeastern University

Health Professions Divisions Course Catalogs and Course Descriptions

No abstract provided.

2015-2016 Student Success Report, Office Of Institutional Research, Wright State University

Student Success and Completion Reports

The 2015-2016 Wright State University Student Success Report which includes data on retention and graduation rates of undergraduate students.

Attitude Toward Multiculturalism: Majority In The Minority Perspective, Elke Murdock, Dieter Ferrings

Papers from the International Association for Cross-Cultural Psychology Conferences

Even within a globalizing world, Luxembourg takes an exceptional position with a foreign population of 44%. In the capital of Luxembourg, home to one-fifth of the country’s population, native members make up only 33% of the population. Outwardly the cosmopolitan diversity is praised, but how does the native population, which finds itself in the minority in its own capital, perceive this increasingly plural composition of society? To investigate this specific “majority-as-minority” perspective, we conducted a quantitative study within a Luxembourg employer (N = 507) with a large native-born workforce. We examined the endorsement of multiculturalism with an adapted version of …

A Critical Policy Analysis Of Texas’ Closing The Gaps 2015, Katherine Cumings Mansfield, Stefani Thachik

Educational Leadership Publications

This critical policy analysis uses critical race theory to provide a counter narrative to the P-16 initiative in Texas known as Closing the Gaps 2015. Findings indicate that while these reforms aim to increase educational access and achievement for people of color, they fall short of addressing systemic inequities such as enduring segregation and unconstitutional school finance policy. Using Texas as a case study illumines the ways the growing number of P-16 councils throughout the US might adapt and improve policy development and implementation to more adequately address educational inequities across racial, ethnic, and linguistic groups. The article closes …

2016 Celebration Of Inquiry Program, Coastal Carolina University

Celebration of Inquiry

12th Celebration of Inquiry, April 11-16, 2016. Theme: Beyond Borders: Living in a Global Society. 8th Annual Undergraduate Research Competition abstracts and schedule are included in the program, but not separated from the general schedule.

An Improved Tight-Binding Model For Phosphorene, Kursti Delello

Honors Undergraduate Theses

The intent of this thesis is to improve upon previously proposed tight-binding models for one dimensional black phosphorus, or phosphorene. Previous models offer only a qualitative analysis of the band structure of phosphorene, and fail to fully realize critical elements in the electronic band structure necessary for transport calculations. In this work we propose an improved tight-binding model for phosphorene by including up to eight nearest-neighbor interactions. The efficacy of the model is verified by comparison with DFT-HSE06 calculations, and the anisotropy of the effective masses in the armchair and zigzag directions is considered.

2016-2017 Lindenwood University Graduate Course Catalog, Lindenwood University

Course Catalogs

Lindenwood University Graduate Course Catalog

The Impact Of Rhythm And Gender On Spelling Output Of Iranian Efl Learners: A Cross-Sectional Study, Peyman Nouraey, Amin Karimnia

Khazar Journal of Humanities and Social Sciences

The present study aimed at investigating the probable effects of gender and rhythmic methods on the final output of Iranian English as a Foreign Language (henceforth EFL) learners with special reference to their spelling skills. In this regard, 108 Iranian EFL learners studying at three different levels were divided into two groups of genders, each consisting of 54 students. Primarily, the students were taught the new English vocabularies using both rhythmic and non-rhythmic methods of spelling. After the trainings, participants were given a test consisting ten marks of spelling in search for the effect of a) gender of the learners …