Dnagents: Genetically Engineered Intelligent Mobile Agents, 2010 University of Southern Mississippi

#### Dnagents: Genetically Engineered Intelligent Mobile Agents, Jeremy Otho Kackley

*Dissertations*

Mobile agents are a useful paradigm for network coding providing many advantages and disadvantages. Unfortunately, widespread adoption of mobile agents has been hampered by the disadvantages, which could be said to outweigh the advantages. There is a variety of ongoing work to address these issues, and this is discussed. Ultimately, genetic algorithms are selected as the most interesting potential avenue. Genetic algorithms have many potential benefits for mobile agents. The primary benefit is the potential for agents to become even more adaptive to situational changes in the environment and/or emergent security risks. There are secondary benefits such as the ...

Local Radial Basis Function Methods For Solving Partial Differential Equations, 2010 University of Southern Mississippi

#### Local Radial Basis Function Methods For Solving Partial Differential Equations, Guangming Yao

*Dissertations*

Meshless methods are relatively new numerical methods which have gained popularity in computational and engineering sciences during the last two decades. This dissertation develops two new localized meshless methods for solving a variety partial differential equations.

Recently, some localized meshless methods have been introduced in order to handle large-scale problems, or to avoid ill-conditioned problems involving global radial basis function approximations. This dissertation explains two new localized meshelss methods, each derived from the global Method of Approximate Particular Solutions (MAPS). One method, the Localized Method of Approximate Particular Solutions (LMAPS), is used for elliptic and parabolic partial differential equations (PDEs ...

Optimal Control Of Species Augmentation Conservation Strategies, 2010 University of Tennessee - Knoxville

#### Optimal Control Of Species Augmentation Conservation Strategies, Erin Nicole Bodine

*Doctoral Dissertations*

Species augmentation is a method of reducing species loss via augmenting declining or threatened populations with individuals from captive-bred or stable, wild populations. In this dissertation, species augmentation is analyzed in an optimal control setting to determine the optimal augmentation strategies given various constraints and settings. In each setting, we consider the effects on both the target/endangered population and a reserve population from which the individuals translocated in the augmentation are harvested. Four different optimal control formulations are explored. The first two optimal control formulations model the underlying population dynamics with a system of ordinary differential equations. Each of ...

Elasticity Of Krull Domains With Infinite Divisor Class Group, 2010 University of Tennessee - Knoxville

#### Elasticity Of Krull Domains With Infinite Divisor Class Group, Benjamin Ryan Lynch

*Doctoral Dissertations*

The elasticity of a Krull domain R is equivalent to the elasticity of the block monoid B(G,S), where G is the divisor class group of R and S is the set of elements of G containing a height-one prime ideal of R. Therefore the elasticity of R can by studied using the divisor class group. In this dissertation, we will study infinite divisor class groups to determine the elasticity of the associated Krull domain. The results will focus on the divisor class groups Z, Z(p infinity), Q, and general infinite groups. For the groups Z and Z ...

On Conjectures Concerning Nonassociate Factorizations, 2010 University of Tennessee, Knoxville

#### On Conjectures Concerning Nonassociate Factorizations, Jason A Laska

*Doctoral Dissertations*

We consider and solve some open conjectures on the asymptotic behavior of the number of different numbers of the nonassociate factorizations of prescribed minimal length for specific finite factorization domains. The asymptotic behavior will be classified for Cohen-Kaplansky domains in Chapter 1 and for domains of the form R=K+XF[X] for finite fields K and F in Chapter 2. A corollary of the main result in Chapter 3 will determine the asymptotic behavior for Krull domains with finite divisor class group.

Supplementary Balance Laws And The Entropy Principle, 2010 Portland State University

#### Supplementary Balance Laws And The Entropy Principle, Serge Preston

*Mathematics and Statistics Faculty Publications and Presentations*

In this work we study the mathematical aspects of the development in the continuum thermodynamics known as the “Entropy Principle”. It started with the pioneering works of B.Coleman, W.Noll and I. Muller in 60th of XX cent. and got its further development mostly in the works of G. Boillat, I-Shis Liu and T.Ruggeri. “Entropy Principle” combines in itself the structural requirement on the form of balance laws of the thermodynamical system (denote such system (C)) and on the entropy balance law with the convexity condition of the entropy density. First of these requirements has pure mathematical form ...

Noise Assumptions In Complex-Valued Sense Mr Image Reconstruction, 2010 Marquette University

#### Noise Assumptions In Complex-Valued Sense Mr Image Reconstruction, Daniel B. Rowe, Iain P. Bruce

*Mathematics, Statistics and Computer Science Faculty Research and Publications*

In fMRI, brain images are not measured instantaneously and a volume of images can take two seconds to acquire at a low 64x64 resolution. Significant effort has been put forth on many fronts to decrease image acquisition time including parallel imaging. In parallel imaging, sub-sampled spatial frequency points are measured in parallel and combined to form a single image. Measurement time is decreased at the expense of increased image reconstruction difficulty and time. One significant parallel imaging technique known as SENSE utilizes a complex-valued regression coefficient estimation process with transposes replaced by conjugate transposes. However, in SENSE the noise structure ...

Studies Of Meson Mass Spectra In The Context Of Quark-Antiquark Bound States, 2010 University of Southern Mississippi

#### Studies Of Meson Mass Spectra In The Context Of Quark-Antiquark Bound States, Mallika Dhar

*Dissertations*

This dissertation deals with the computation of meson mass spectra in the context of quarkantiquark (q ¯ q) bound-state. Traditionally the q ¯ q bound-state problem is treated by solving the non-relativistic Schrödinger equation in position representation with a linear confining potential and a Coulomb-like attractive potential. For high energy, relativistic kinematics is necessary. It is well known that relativistic kinematics cannot be treated properly in position representation, but it can easily be handled in momentum representation. On the other hand, the linear potential and Coulomb-like potential have singularities in momentum-space and complicated subtraction procedure is necessary to treat the singularities properly ...

Connectivity Of Random Cubic Sum Graphs, 2010 Macalester College

#### Connectivity Of Random Cubic Sum Graphs, Andrew Beveridge

*Andrew Beveridge*

No abstract provided.

Operation Comics #4: Wonderguy In The Sky!, 2010 Western Kentucky University

#### Operation Comics #4: Wonderguy In The Sky!, Bruce Kessler, Tressa Tullis

*Bruce Kessler*

This is the fourth of a series of comics that embed mathematics appropriate for grades 4 through 6 in story told in comic book format. Printed versions of this comic are being used by students at Cumberland Trace Elementary in Bowling Green, KY. The comic is available as an e-book for the Nook at the link provided above. Hard copies of the comic are available at www.operationcomics.com. Supplementary materials are available for free below. For more information on the origin and goals of this comic, see the pre-print of the paper "Comic Books That Teach Mathematics" at http ...

Accuracy, Resolution And Stability Properties Of A Modified Chebyshev Method, 2010 Boise State University

#### Accuracy, Resolution And Stability Properties Of A Modified Chebyshev Method, Jodi Mead, Rosemary A. Renaut

*Jodi Mead*

While the Chebyshev pseudospectral method provides a spectrally accurate method, integration of partial differential equations with spatial derivatives of order M requires time steps of approximately O(N−2M) for stable explicit solvers. Theoretically, time steps may be increased to O(N−M) with the use of a parameter, α-dependent mapped method introduced by Kosloff and Tal-Ezer [ J. Comput. Phys., 104 (1993), pp. 457–469]. Our analysis focuses on the utilization of this method for reasonable practical choices for N, namely N ≲ 30, as may be needed for two- or three dimensional modeling. Results presented confirm that spectral accuracy with ...

On Folding A Polygon To A Polyhedron, 2010 Smith College

#### On Folding A Polygon To A Polyhedron, Joseph O'Rourke

*Computer Science: Faculty Publications*

We show that the open problem presented in "Geometric Folding Algorithms: Linkages, Origami, Polyhedra" [DO07] is solved by a theorem of Burago and Zalgaller [BZ96] from more than a decade earlier.

Poset Pinball, Gkm-Compatible Subspaces, And Hessenberg Varieties, 2010 McMaster University

#### Poset Pinball, Gkm-Compatible Subspaces, And Hessenberg Varieties, Megumi Harada, Julianna Tymoczko

*Mathematics and Statistics: Faculty Publications*

This paper has three main goals. First, we set up a general framework to address the problem of constructing module bases for the equivariant cohomology of certain subspaces of GKM spaces. To this end we introduce the notion of a GKM-compatible subspace of an ambient GKM space. We also discuss poset-upper-triangularity, a key combinatorial notion in both GKM theory and more generally in localization theory in equivariant cohomology. With a view toward other applications, we present parts of our setup in a general algebraic and combinatorial framework. Second, motivated by our central problem of building module bases, we introduce a ...

Fastmedusa: A Parallelized Tool To Infer Gene Regulatory Networks, 2010 Marquette University

#### Fastmedusa: A Parallelized Tool To Infer Gene Regulatory Networks, Serdar Bozdag, Aiguo Li, Stefan Wuchty, Howard A. Fine

*Mathematics, Statistics and Computer Science Faculty Research and Publications*

Motivation: In order to construct gene regulatory networks of higher organisms from gene expression and promoter sequence data efficiently, we developed FastMEDUSA. In this parallelized version of the regulatory network-modeling tool MEDUSA, expression and sequence data are shared among a user-defined number of processors on a single multi-core machine or cluster. Our results show that FastMEDUSA allows a more efficient utilization of computational resources. While the determination of a regulatory network of brain tumor in Homo sapiens takes 12 days with MEDUSA, FastMEDUSA obtained the same results in 6 h by utilizing 100 processors. Availability: Source code and documentation of ...

On Flat Polyhedra Deriving From Alexandrov's Theorem, 2010 Smith College

#### On Flat Polyhedra Deriving From Alexandrov's Theorem, Joseph O'Rourke

*Computer Science: Faculty Publications*

We show that there is a straightforward algorithm to determine if the polyhedron guaranteed to exist by Alexandrov's gluing theorem is a degenerate flat polyhedron, and to reconstruct it from the gluing instructions. The algorithm runs in O(n^{3}) time for polygons whose gluings are specified by n labels.

A Toolkit For The Construction And Understanding Of 3-Manifolds, 2010 Brigham Young University - Provo

#### A Toolkit For The Construction And Understanding Of 3-Manifolds, Lee R. Lambert

*All Theses and Dissertations*

Since our world is experienced locally in three-dimensional space, students of mathematics struggle to visualize and understand objects which do not fit into three-dimensional space. 3-manifolds are locally three-dimensional, but do not fit into 3-dimensional space and can be very complicated. Twist and bitwist are simple constructions that provide an easy path to both creating and understanding closed, orientable 3-manifolds. By starting with simple face pairings on a 3-ball, a myriad of 3-manifolds can be easily constructed. In fact, all closed, connected, orientable 3-manifolds can be developed in this manner. We call this work a tool kit to emphasize the ...

Vanishing Of Ext And Tor Over Complete Intersections, 2010 University of Nebraska-Lincoln

#### Vanishing Of Ext And Tor Over Complete Intersections, Olgur Celikbas

*Dissertations, Theses, and Student Research Papers in Mathematics*

Let (R,m) be a local complete intersection, that is, a local ring whose m-adic completion is the quotient of a complete regular local ring by a regular sequence. Let M and N be finitely generated R-modules. This dissertation concerns the vanishing of Tor(M, N) and Ext(M, N). In this context, M satisfies Serre's condition (S_{n}) if and only if M is an nth syzygy. The complexity of M is the least nonnegative integer r such that the nth Betti number of M is bounded by a polynomial of degree r-1 for all sufficiently large n ...

A Hybrid Radial Basis Function-Pseudospectral Method For Thermal Convection In A 3-D Spherical Shell, 2010 Boise State University

#### A Hybrid Radial Basis Function-Pseudospectral Method For Thermal Convection In A 3-D Spherical Shell, Grady Wright, Natasha Flyer, David A. Yuen

*Mathematics Faculty Publications and Presentations*

A novel hybrid spectral method that combines radial basis function (RBF) and Chebyshev pseudospectral methods in a “2 + 1” approach is presented for numerically simulating thermal convection in a 3‐D spherical shell. This is the first study to apply RBFs to a full 3‐D physical model in spherical geometry. In addition to being spectrally accurate, RBFs are not defined in terms of any surface‐based coordinate system such as spherical coordinates. As a result, when used in the lateral directions, as in this study, they completely circumvent the pole issue with the further advantage that nodes can be ...

Comprehensive Peroxidase-Based Hematologic Profiling For The Prediction Of 1-Year Myocardial Infarction And Death, 2010 Cleveland Clinic

#### Comprehensive Peroxidase-Based Hematologic Profiling For The Prediction Of 1-Year Myocardial Infarction And Death, Marie Luise Brennan, Anupama Reddy, W.H. Wilson Tang, Yuping Wu, Danielle M. Brennan, Amy Hsu, Shirley A. Mann, Peter L. Hammer, Stanley L. Hazen

*Mathematics Faculty Publications*

Background— Recognition of biological patterns holds promise for improved identification of patients at risk for myocardial infarction (MI) and death. We hypothesized that identifying high- and low-risk patterns from a broad spectrum of hematologic phenotypic data related to leukocyte peroxidase-, erythrocyte- and platelet-related parameters may better predict future cardiovascular risk in stable cardiac patients than traditional risk factors alone. Methods and Results— Stable patients (n=7369) undergoing elective cardiac evaluation at a tertiary care center were enrolled. A model (PEROX) that predicts incident 1-year death and MI was derived from standard clinical data combined with information captured by a high-throughput ...

Parts Of The Whole: Thinking About Variance: Standards, Targets, Tracking, And Other Thoughts, 2010 Dartmouth College

#### Parts Of The Whole: Thinking About Variance: Standards, Targets, Tracking, And Other Thoughts, Dorothy Wallace

*Numeracy*

Variation is a natural result of any process, including education. Understanding how variation propagates and increases is necessary for designing educational interventions that work for the intended population. We show how common strategies such as setting standards and tracking can accidentally produce unintended and undesirable results due to the way variation moves through a system.