Culturally Relevant Pedagogy: Secondary Mathematics In An Urban Classroom,
2014
University of Northern Iowa
Culturally Relevant Pedagogy: Secondary Mathematics In An Urban Classroom, Julia Glissmann North
Honors Program Theses
Research and test scores have shown that African-American, Latino, Native American, and other minority students are underachieving in secondary mathematics. This is concerning not only to school personnel – who are under pressure to have students perform well on standardized tests – but also to the future of the country. When teachers adopt a culturally relevant pedagogy, diverse students will have a better opportunity to learn and retain mathematical content. When academic content is taught in a culturally relevant way, students are able to retain the information, improve their performance in school, and become more informed participants in society. Through …
Exponentiated Kumaraswamy-Dagum Distribution With Applications To Income And Lifetime Data,
2013
Georgia Southern University
Exponentiated Kumaraswamy-Dagum Distribution With Applications To Income And Lifetime Data, Shujiao Huang, Broderick O. Oluyede
Mathematical Sciences: Faculty Publications
A new family of distributions called exponentiated Kumaraswamy-Dagum (EKD) distribution is proposed and studied. This family includes several well known sub-models, such as Dagum (D), Burr III (BIII), Fisk or Log-logistic (F or LLog), and new sub-models, namely, Kumaraswamy-Dagum (KD), Kumaraswamy-Burr III (KBIII), Kumaraswamy-Fisk or Kumaraswamy-Log-logistic (KF or KLLog), exponentiated Kumaraswamy-Burr III (EKBIII), and exponentiated Kumaraswamy-Fisk or exponentiated Kumaraswamy-Log-logistic (EKF or EKLLog) distributions. Statistical properties including series representation of the probability density function, hazard and reverse hazard functions, moments, mean and median deviations, reliability, Bonferroni and Lorenz curves, as well as entropy measures for this class of distributions and the …
Local Rings Of Embedding Codepth At Most 3 Have Only Trivial Semidualizing Complexes,
2013
Georgia Southern University
Local Rings Of Embedding Codepth At Most 3 Have Only Trivial Semidualizing Complexes, Saeed Nasseh, Sean Sather-Wagstaff
Mathematical Sciences: Faculty Publications
We prove that a local ring R of embedding codepth at most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, R itself and a dualizing R-complex if one exists.
Frameworks With Crystallographic Symmetry,
2013
Rider University
Frameworks With Crystallographic Symmetry, Ciprian Borcea, Ileana Streinu
Computer Science: Faculty Publications
Periodic frameworks with crystallographic symmetry are investigated from the perspective of a general deformation theory of periodic bar-and-joint structures in Rd. It is shown that natural parametrizations provide affine section descriptions for families of frameworks with a specified graph and symmetry. A simple geometric setting for diaplacive phase transitions is obtained. Upper bounds are derived for the number of realizations of minimally rigid periodic graphs.
Efficient And Long-Time Accurate Second-Order Methods For The Stokes-Darcy System,
2013
Missouri University of Science and Technology
Efficient And Long-Time Accurate Second-Order Methods For The Stokes-Darcy System, Wenbin Chen, Max Gunzburger, Dong Sun, Xiaoming Wan
Mathematics and Statistics Faculty Research & Creative Works
We propose and study two second order in time implicit-explicit methods for the coupled Stokes-Darcy system that governs flows in karst aquifers and other subsurface flow systems. the first method is a combination of a second-order backward differentiation formula and the second order Gear's extrapolation approach. the second is a combination of the second-order Adams-Moulton and second-order Adams-Bashforth methods. Both algorithms only require the solution of decoupled Stokes and Darcy problems at each time-step. Hence, these schemes are very efficient and can be easily implemented using legacy codes. We establish the unconditional and uniform in time stability for both schemes. …
Students' Perceived Utility Of Precision Taught Calculus,
2013
University of Northern Colorado
Students' Perceived Utility Of Precision Taught Calculus, Rebecca-Anne Dibbs, David Glassmeyer, Wafa Yacoub
Faculty Articles
The last decade of calculus research has showed students learn best when lecture is supplemented with thoughtful use of technology and group work; however, educators are given little direction of how they are to balance the already full first semester calculus class. Precision teaching is an instructional model that employs formative assessment to provide information on what topics are understood by students as well as indicate troublesome concepts. With this information, the instructor can adjust class time accordingly by incorporating supplemental activities most beneficial to students. The purpose of this interview study was to explore the perceived utility of precision …
The Apostles And Brothers Of Jesus,
2013
Georgia Southern University
The Apostles And Brothers Of Jesus, Andrew Sills
Mathematical Sciences: Faculty Publications
Excerpt: The Talpiot tomb, a tomb excavated outside Jerusalem in 1980 and brought to worldwide public attention in 2007, contained ten ossuaries, six of which were inscribed with names. The English equivalents of the names are Jesus son of Joseph, two Marys, a rare diminutive form of Joseph, a diminutive of Matthew, and a Judah son of Jesus. Because of the similarities between this collection of names and certain names appearing in the Christian New Testament, some are curious as to whether the Talpiot tomb may have once interred the remains of Jesus of Nazareth and some of his relatives. …
Model Spaces: A Survey,
2013
University of Richmond
Model Spaces: A Survey, William T. Ross, Stephan Ramon Garcia
Department of Math & Statistics Faculty Publications
This is a brief and gentle introduction, aimed at graduate students, to the subject of model subspaces of the Hardy space.
Principal Angles And Approximation For Quaternionic Projections [Dataset],
2013
University of New Mexico
Principal Angles And Approximation For Quaternionic Projections [Dataset], Terry A. Loring
Math and Statistics Datasets
We extend Jordan's notion of principal angles to work for two subspaces of quaternionic space, and so have a method to analyze two orthogonal projections in the matrices over the real, complex or quaternionic field (or skew field). From this we derive an algorithm to turn almost commuting projections into commuting projections that minimizes the sum of the displacements of the two projections. We quickly prove what we need using the universal real C*-algebra generated by two projections.
Counting Threshold Graphs And Finding Inertia Sets,
2013
Brigham Young University - Provo
Counting Threshold Graphs And Finding Inertia Sets, Christopher Abraham Guzman
Theses and Dissertations
This thesis is separated into two parts: threshold graphs and inertia sets. First we present an algorithmic approach to finding the minimum rank of threshold graphs and then progress to counting the number of threshold graphs with a specific minimum rank. Second, we find an algorithmic and more automated way of determining the inertia set of graphs with seven or fewer vertices using theorems and lemmata found in previous papers. Inertia sets are a relaxation of the inverse eigenvalue problem. Instead of determining all the possible eigenvalues that can be obtained by matrices with a specific zero/nonzero pattern we restrict …
Common Fundamental Domains For Lattices Of The Same Volume,
2013
Bridgewater State University
Common Fundamental Domains For Lattices Of The Same Volume, Ashley Erwin
Honors Program Theses and Projects
No abstract provided.
Variational Methods And Critical Point Theory 2013,
2013
Florida Institute of Technology
Variational Methods And Critical Point Theory 2013, Victoria Otero-Espinar, Juan J. Nieto, Donal O'Regan, Kanishka Perera
Mathematics and System Engineering Faculty Publications
[No abstract provided]
Record Linkage,
2013
Brigham Young University - Provo
Record Linkage, Stasha Ann Bown Larsen
Theses and Dissertations
This document explains the use of different metrics involved with record linkage. There are two forms of record linkage: deterministic and probabilistic. We will focus on probabilistic record linkage used in merging and updating two databases. Record pairs will be compared using character-based and phonetic-based similarity metrics to determine at what level they match. Performance measures are then calculated and Receiver Operating Characteristic (ROC) curves are formed. Finally, an economic model is applied that returns the optimal tolerance level two databases should use to determine a record pair match in order to maximize profit.
Mathematical Model Of Dynamic Protein Interactions Regulating P53 Protein Stability For Tumor Suppression,
2013
Georgia Southern University
Mathematical Model Of Dynamic Protein Interactions Regulating P53 Protein Stability For Tumor Suppression, Hua Wang, Guang Peng
Mathematical Sciences: Faculty Publications
In the field of cancer biology, numerous genes or proteins form extremely complex regulatory network, which determines cancer cell fate and cancer cell survival. p53 is a major tumor suppressor that is lost in more than 50% of human cancers. It has been well known that a variety of proteins regulate its protein stability, which is essential for its tumor suppressive function. It remains elusive how we could understand and target p53 stabilization process through network analysis. In this paper we discuss the use of random walk and stationary distribution to measure the compound effect of a network of genes …
Using Intelligent Prefetching To Reduce The Energy Consumption Of A Large-Scale Storage System,
2013
Texas State University - San Marcos
Using Intelligent Prefetching To Reduce The Energy Consumption Of A Large-Scale Storage System, Brian Romoser, Ziliang Zong, Ribel Fares, Joal Wood, Rong Ge
Mathematics, Statistics and Computer Science Faculty Research and Publications
Many high performance large-scale storage systems will experience significant workload increases as their user base and content availability grow over time. The U.S. Geological Survey (USGS) Earth Resources Observation and Science (EROS) center hosts one such system that has recently undergone a period of rapid growth as its user population grew nearly 400% in just about three years. When administrators of these massive storage systems face the challenge of meeting the demands of an ever increasing number of requests, the easiest solution is to integrate more advanced hardware to existing systems. However, additional investment in hardware may significantly increase the …
Differentiation Of Solutions Of Second-Order Bvps With Integral Boundary Conditions,
2013
Nova Southeastern University
Differentiation Of Solutions Of Second-Order Bvps With Integral Boundary Conditions, Alfredo Janson, Bibi Juman
Mathematics Colloquium Series
Janson’s and Juman’s research involves differentiating solutions of boundary value problems with integral conditions, as well as showing that the resulting functions solve an associated boundary value problem—called the variational equation—with new integral boundary values.
Minimum Rank Problems For Cographs,
2013
Brigham Young University - Provo
Minimum Rank Problems For Cographs, Nicole Andrea Malloy
Theses and Dissertations
Let G be a simple graph on n vertices, and let S(G) be the class of all real-valued symmetric nxn matrices whose nonzero off-diagonal entries occur in exactly the positions corresponding to the edges of G. The smallest rank achieved by a matrix in S(G) is called the minimum rank of G, denoted mr(G). The maximum nullity achieved by a matrix in S(G) is denoted M(G). For each graph G, there is an associated minimum rank class, MR(G) consisting of all matrices A in S(G) with rank A = mr(G). Although no restrictions are applied to the diagonal entries of …
Peakon, Pseudo-Peakon, And Cuspon Solutions For Two Generalized Camassa- Holm Equations,
2013
Zhejiang Normal University
Peakon, Pseudo-Peakon, And Cuspon Solutions For Two Generalized Camassa- Holm Equations, Jibin Li, Zhijun Qiao
School of Mathematical & Statistical Sciences Faculty Publications
In this paper, we study peakon, cuspon, and pseudo-peakon solutions for two generalized Camassa-Holm equations. Based on the method of dynamical systems, the two generalized Camassa-Holm equations are shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, pseudo-peakons, and periodic cusp solutions. In particular, the pseudo-peakon solution is for the first time proposed in our paper. Moreover, when a traveling system has a singular straight line and a heteroclinic loop, under some parameter conditions, there must be peaked solitary wave solutions appearing.
Estimating Norms Of Commutators [Dataset],
2013
University of New Mexico
Estimating Norms Of Commutators [Dataset], Terry A. Loring, Freddy Vides
Math and Statistics Datasets
We find estimates on the norm of a commutator of the form [f(x),y] in terms of the norm of [x,y], assuming that x and y are bounded linear operators on Hilbert space, with x normal and with spectrum within the domain of f. In particular we discuss |[x^2,y]| and |[x^{1/2},y]| for 0leq x leq 1. For larger values of delta = |[x,y]| we can rigorous calculate the best possible upper bound |[f(x),y]| leq eta_f(delta) for many f. In other cases we have conducted numerical experiments that strongly suggest that we have in many cases found the correct formula for the …
Estimating Norms Of Commutators,
2013
University of New Mexico
Estimating Norms Of Commutators, Terry A. Loring, Freddy Vides
Branch Mathematics and Statistics Faculty and Staff Publications
We find estimates on the norm of a commutator of the form $[f(x),y]$ in terms of the norm of $[x,y]$, assuming that $x$ and $y$ are bounded linear operators on Hilbert space, with $x$ normal and with spectrum within the domain of $f$. In particular we discuss $\|[x^2,y]\|$ and $\|[x^{1/2},y]\|$ for $0\leq x \leq 1$. For larger values of $\delta = \|[x,y]\|$ we can rigorous calculate the best possible upper bound $\|[f(x),y]\| \leq \eta_f(\delta)$ for many $f$. In other cases we have conducted numerical experiments that strongly suggest that we have in many cases found the correct formula for the …
