Search results | J. Murrey Atkins Library

Title: A Random Hierarchical Laplacian
Author: Ray, Elijah
Date Created: 2013
Subjects--Topical: Mathematics
Description: The Hierarchical Laplacian, proposed in Dyson's theory of one-dimensional ferromagnetic phase transitions, has a discrete spectrum with each isolated eigenvalue having infinite multiplicity. As a result, the integrated density of states is piecewi...

Title: Asymptotic Normality of Entropy Estimators
Author: Zhang, Xing
Date Created: 2013
Subjects--Topical: Mathematics
Description: Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficien...

Title: Binary Edwards Curves in Elliptic Curve Cryptography
Author: Enos, Graham
Date Created: 2013
Subjects--Topical: Mathematics
Description: Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is complete ...

Title: EFFECTS OF THE SOLVE STRATEGY ON THE MATHEMATICAL PROBLEM SOLVING SKILLS OF SECONDARY STUDENTS WITH LEARNING DISABILITIES
Author: Freeman, Shaqwana
Date Created: 2013
Subjects--Topical: Special education, Mathematics, Education, Secondary
Description: Students with learning disabilities are most typically characterized as struggling readers (i.e., 80-90% of students are identified on the basis of reading failure; LD OnLine, 2008 Lerner, 1989; Lyon, Fletcher, Shaywitz, Torgesen, Wood, et al., 20...

Title: ISOGEOMETRIC ANALYSIS AND PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR PLATES
Author: Kim, Hyunju
Date Created: 2013
Subjects--Topical: Mechanical engineering, Mathematics
Description: Isogeometric analysis (IGA) is a framework bridging the gap between Computer Aided Design (CAD) and Finite Element Analysis (FEA). So it drastically reduces the error in the representation of the computational domain and the re-meshing by the use ...

Title: On the Structure and Invariants of Cubical Complexes
Author: Birdsong, Sarah
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entr...

Title: STUDY OF HYBRID STRATEGIES FOR MULTI-OBJECTIVE OPTIMIZATION USING GRADIENT BASED METHODS AND EVOLUTIONARY ALGORITHMS
Author: Paez Bautista, Diego
Date Created: 2013
Subjects--Topical: Mechanical engineering, Mathematics
Description: Most of the optimization problems encountered in engineering have conflicting objectives. In order to solve these problems, genetic algorithms (GAs) and gradient-based methods are widely used. GAs are relatively easy to implement, because these al...

Title: THE ASYMPTOTIC APPROXIMATION OF THE TRANSITION PROBABILITY FOR THE RANDOM WALKS WITH HEAVY TAILS.
Author: Agbor, Andu
Date Created: 2013
Subjects--Topical: Statistics, Mathematics
Description: The main result of this dissertation concerns the asymptotics, uniform in t and x, of the probability distribution of a random walk with heavy tails. The random walk is a Markov process and thus can be characterized in terms of their generators. W...

Title: Teacher Self-Efficacy and Student Learning: A Case Study of the Implementation of Common Core State Standards in Mathematics in a Parochial Middle School
Author: Mazze, Candace
Date Created: 2013
Subjects--Topical: Middle school education, Education, Mathematics
Description: ABSTRACTCANDACE ELIZABETH MAZZE. Teacher self-efficacy and student learning: a case study of the implementation of Common Core State Standards in Mathematics in a parochial middle school (Under the direction of DR. COREY R. LOCK)In response to US ...

Title: The center and cyclicity problems in a family of three dimensional polynomial systems of ordinary differential equations.
Author: Hounkanli, Kokouvi
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation is mainly a study of the center problem in the context of a family of three dimensional systems of ordinary differential equations of the form· {u} = &minus v + P(u,v,w), · {v} = u+Q(u,v,w), · {w}=&minus &lambda...