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Articles 1441 - 1470 of 2496
Full-Text Articles in Physical Sciences and Mathematics
A Generalized Approach To Darboux Transformations For Differential Equations, Mehmet Unlu
A Generalized Approach To Darboux Transformations For Differential Equations, Mehmet Unlu
Mathematics Dissertations
A Darboux transformation is a mathematical procedure to produce a solution to a differential equation when the solution to a related differential equation is known. The basic idea behind a Darboux transformation is to change the discrete spectrum of a linear differential operator in a controlled way without changing its continuous spectrum. For example, by using a Darboux transformation one can describe the change in a quantum mechanical system when some of its quantum levels are removed or some extra quantum levels are added. Darboux transformation formulas for various differential equations have been developed, but such formulas seem to be …
Weight Modules Of Orthosymplectic Lie Superalgebras, Thomas Lynn Ferguson
Weight Modules Of Orthosymplectic Lie Superalgebras, Thomas Lynn Ferguson
Mathematics Dissertations
A long-standing problem in representation theory is the classification of all simple weight modules of the classical Lie superalgebras. This problem was reduced to the classification of simple bounded highest weight modules. The latter classification has been accomplished for all classical Lie superalgebras except for the orthosymplectic series osp(m|2n) where m = 1, 3, 4, 5, 6. In this thesis, we complete the classification of the simple bounded highest weight modules of osp(1|2n) (i.e., for m = 1). The classification is obtained by developing constraints on primitive vectors in tensor products of bounded (Weyl) and finite-dimensional osp(1|2n)-modules.
Differential Equation Models Of Foreign Body Fibrotic Reactions For Assessing Roles Of Macrophage Phenotypes And Mesenchymal Stem Cells, Larrissa Owens
Differential Equation Models Of Foreign Body Fibrotic Reactions For Assessing Roles Of Macrophage Phenotypes And Mesenchymal Stem Cells, Larrissa Owens
Mathematics Dissertations
Implant failure due to fibrotic encapsulation is an ongoing challenge in the bio-medical field. We develop two mathematical models based on partial differential equations in two spatial dimensions, and use them to gain quantitative insights regarding the dynamics of immune cells and proteins following the insertion of a foreign body. We focus heavily on incorporating a distinction between varied phenotypes of macrophage cells and analyzing their effects on healing processes. We extend our research to a new model that incorporates mesenchymal stem cells that influence the chemical reactions of immune regulators. Stability analysis is conducted on a family of equilibria …
A Method For Exact Solutions To Integrable Evolution Equations In 2+1 Dimensions, Alicia Machuca
A Method For Exact Solutions To Integrable Evolution Equations In 2+1 Dimensions, Alicia Machuca
Mathematics Dissertations
A systematic method is developed to obtain solution formulas for certain explicit solutions to integrable nonlinear partial differential equations in two spatial variables and one time variable. The method utilizes an underlying Marchenko integral equation that arises in the corresponding inverse scattering problem. The method is demonstrated for the Kadomtsev-Petviashvili and the generalized Davey-Stewartson II system. A derivation and analysis of the solution formulas to these two nonlinear partial differential equations are given, and an independent verification of the solution formulas is presented. Such solution formulas are expressed in a compact form in terms of matrix exponentials, by using a …
Estimation Of Variance In Bivariate Normal Distribution After Preliminary Test Of Homogeneity, Juan Manuel Romero Padilla
Estimation Of Variance In Bivariate Normal Distribution After Preliminary Test Of Homogeneity, Juan Manuel Romero Padilla
Mathematics Dissertations
A preliminary test estimator of variance in the bivariate normal distribution is proposed after Pitman-Morgan test of homogeneity of two variances. We propose one estimator of variance after preliminary test of two tails and another one for one tail test. The biases and mean square errors of both estimators are derived. The relative efficiency (RE) of the preliminary test estimator is studied. Computations and 3D graphs of RE for different parameters are analyzed. In order to get the maximum RE, recommendations of the significance level for the preliminary test are given for various sample sizes by using the max-min criterion.
Applications Of Cubical Arrays In The Study Of Finite Semifields, Kelly Casimir Aman
Applications Of Cubical Arrays In The Study Of Finite Semifields, Kelly Casimir Aman
Mathematics Dissertations
It is well known that any finite semifield, S, can be viewed as an n-dimensional vector space over a finite field or prime order, Fp, and that the multiplication in S defines and can be defined by an n x n x n cubical array of scalars, A. For any element a E S, the matrix, La, corresponding to left multiplication by a can be determined from A. In this paper we show that there exists a unique monic polynomial of minimal degree, f E Fp[x], such that f(a) = 0, and which divides the minimal polynomial of La. Furthermore, …
Gis Data: James City County And City Of Williamsburg, Virginia Shoreline Inventory Report, Marcia Berman, Karinna Nunez, Sharon Killeen, Tamia Rudnicky, Julie Bradshaw, Karen Duhring, Kory Angstadt, Alexandra Procopi, David Weiss, Carl Hershner
Gis Data: James City County And City Of Williamsburg, Virginia Shoreline Inventory Report, Marcia Berman, Karinna Nunez, Sharon Killeen, Tamia Rudnicky, Julie Bradshaw, Karen Duhring, Kory Angstadt, Alexandra Procopi, David Weiss, Carl Hershner
Data
The data inventory developed for the Shoreline Inventory is based on a three tiered shoreline assessment approach. This assessment characterizes conditions that can be observed from a small boat navigating along the shoreline or by using observations made remotely at the desktop using high resolution imagery. The three tiered shoreline assessment approach divides the shorezone into three regions:
1) the immediate riparian zone, evaluated for land use; 2) the bank, evaluated for height, stability, cover and natural protection; and 3) the shoreline, describing the presence of shoreline structures for shore protection and recreational purposes.
The 2014 Inventory for James City …
Gis Data: Northumberland County, Virginia Tidal Marsh Inventory, Marcia Berman, Karinna Nunez, Sharon Killeen, Tamia Rudnicky, Julie Bradshaw, Karen Duhring, David Stanhope, Kory Angstadt, Christine Tombleson, Alexandra Procopi, David Weiss, Carl Hershner
Gis Data: Northumberland County, Virginia Tidal Marsh Inventory, Marcia Berman, Karinna Nunez, Sharon Killeen, Tamia Rudnicky, Julie Bradshaw, Karen Duhring, David Stanhope, Kory Angstadt, Christine Tombleson, Alexandra Procopi, David Weiss, Carl Hershner
Data
The 2014 Tidal Marsh Inventory update for Northumberland County, Virginia was generated using on-screen digitizing techniques in the most recent version of ArcGIS® - ArcMap while viewing conditions observed in the most recent imagery from the Virginia Base Mapping Program (VBMP). Dominant plant community types were primarily determined during field surveys from shallow-draft boats moving along the shoreline. Land-based surveys were performed in some locations. One shapefile is developed that portrays tidal marsh areas represented as polygons. A metadata file accompanies the shapefile to define attribute accuracy, data development, and any use restrictions that pertain to the data.
Gis Data: James City County And The City Of Williamsburg, Virginia Tidal Marsh Inventory, Marcia Berman, Karinna Nunez, Sharon Killeen, Tamia Rudnicky, Julie Bradshaw, Karen Duhring, Kory Angstadt, Alexandra Procopi, David Weiss, Carl Hershner
Gis Data: James City County And The City Of Williamsburg, Virginia Tidal Marsh Inventory, Marcia Berman, Karinna Nunez, Sharon Killeen, Tamia Rudnicky, Julie Bradshaw, Karen Duhring, Kory Angstadt, Alexandra Procopi, David Weiss, Carl Hershner
Data
The 2014 Tidal Marsh Inventory update for James City County and the City of Williamsburg, Virginia was generated using on-screen digitizing techniques in the most recent version of ArcGIS® - ArcMap while viewing conditions observed in the most recent imagery from the Virginia Base Mapping Program (VBMP). Dominant plant community types were primarily determined during field surveys from shallow-draft boats moving along the shoreline. Land-based surveys were performed in some locations. One shapefile is developed that portrays tidal marsh areas represented as polygons. A metadata file accompanies the shapefile to define attribute accuracy, data development, and any use restrictions that …
Cloud Trader Simulator Overview
Cloud Trader Simulator Overview
Stephen M. Watt
This video presentation complements the article "An Agent-Based Financial Market Simulator for Evaluation of Algorithmic Trading Strategies" by Rui Hu and Stephen Watt.
R Codes For "Multilevel Sparse Functional Principal Component Analysis" (Stat), Chongzhi Di
R Codes For "Multilevel Sparse Functional Principal Component Analysis" (Stat), Chongzhi Di
Chongzhi Di
No abstract provided.
Syllabus_Lecture_Notes_Collective_Phenomena_In_Laser_Plasmas_Ii_Phy998_Spring_2014, Serge Y. Kalmykov
Syllabus_Lecture_Notes_Collective_Phenomena_In_Laser_Plasmas_Ii_Phy998_Spring_2014, Serge Y. Kalmykov
Serge Youri Kalmykov
High-power laser radiation beams interacting with a rarefied, fully ionized plasmas are essentially unstable. This fact is mainly due to the excitation of various modes of plasma oscillations, most important of which are electron Langmuir waves and ion acoustic waves. The stimulated scattering processes destroy and deplete the pulse in the as it propagates. On the other hand, at the moderate level of instability, spectral properties of the scattered light may serve as optical diagnostics of the pulse propagation dynamics. Knowing the dynamics of the stimulated scattering processes is thus essential for such applications as inertial confinement fusion and laser-plasma …
Principal Angles And Approximation For Quaternionic Projections [Dataset], Terry A. Loring
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.
Estimating Norms Of Commutators [Dataset], Terry A. Loring, Freddy Vides
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 …
Computing A Logarithm Of A Unitary Matrix With General Spectrum [Dataset], Terry A. Loring
Computing A Logarithm Of A Unitary Matrix With General Spectrum [Dataset], Terry A. Loring
Math and Statistics Datasets
We analyze an algorithm for computing a skew-Hermitian logarithm of a unitary matrix, and also skew-Hermitian approximate logarithms for nearly unitary matrices. This algorithm is very easy to implement using standard software and it works well even for unitary matrices with no spectral conditions assumed. Certain examples, with many eigenvalues near -1, lead to very non-Hermitian output for other basic methods of calculating matrix logarithms. Altering the output of these algorithms to force an Hermitian output creates accuracy issues which are avoided by the considered algorithm. A modification is introduced to deal properly with the J-skew symmetric unitary matrices. Applications …
Leslie Matrices For Logistic Population Modeling, Bruce Kessler
Leslie Matrices For Logistic Population Modeling, Bruce Kessler
Mathematics Faculty Publications
Leslie matrices are taught as a method of modeling populations in a discrete-time fashion with more detail in the tracking of age groups within the population. Leslie matrices have limited use in the actual modeling of populations, since when the age groups are summed, it is basically equivalent to discrete-time modeling assuming exponential population growth. The logistic model of population growth is more realistic, since it takes into account a carrying capacity for the environment of the population. This talk will describe an adjustment to the Leslie matrix approach for population modeling that is both takes into account the carrying …
Controls On Particle Settling Velocity And Bed Erodibility In The Presence Of Muddy Flocs And Biologically Packaged Pellets: Modeling Study Utilizing The York 3-D Hydrodynamic Cohesive Bed Model, K. A. Fall, Courtney K. Harris, Carl T. Friedrichs, J. P. Rinehimer
Controls On Particle Settling Velocity And Bed Erodibility In The Presence Of Muddy Flocs And Biologically Packaged Pellets: Modeling Study Utilizing The York 3-D Hydrodynamic Cohesive Bed Model, K. A. Fall, Courtney K. Harris, Carl T. Friedrichs, J. P. Rinehimer
Presentations
No abstract provided.
Controls On Particle Settling Velocity And Bed Erodibility In The Presence Of Muddy Flocs And Pellets As Inferred By Advs, York River Estuary, Virginia, Usa, K. A. Fall, C. T. Friedrichs, G. M. Cartwright
Controls On Particle Settling Velocity And Bed Erodibility In The Presence Of Muddy Flocs And Pellets As Inferred By Advs, York River Estuary, Virginia, Usa, K. A. Fall, C. T. Friedrichs, G. M. Cartwright
Presentations
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Sediment Settling Velocity From Advs And Settling Tubes: Agreement Over A Range Of Particle Types And Hydrodynamic Conditions, G. M. Cartwright, C. T. Friedrichs, S. J. Smith
Sediment Settling Velocity From Advs And Settling Tubes: Agreement Over A Range Of Particle Types And Hydrodynamic Conditions, G. M. Cartwright, C. T. Friedrichs, S. J. Smith
Presentations
No abstract provided.
2114-2251_Nir_Gnirs, Michael C. Liu
0112+1703_Nir_Gnirs, Michael C. Liu
P For Discussion: Naming Superheavy Halogen And Noble Elements, Shawn Burdette, Brett Thornton
P For Discussion: Naming Superheavy Halogen And Noble Elements, Shawn Burdette, Brett Thornton
Shawn C. Burdette
No abstract provided.
Recent Field Observations Of Mixed And Cohesive Sediment Particle Properties In Coastal And Estuarine Environments, C. T. Friedrichs
Recent Field Observations Of Mixed And Cohesive Sediment Particle Properties In Coastal And Estuarine Environments, C. T. Friedrichs
Presentations
No abstract provided.
Comparison Of Sontek Advocean-Hydras And Nortek Adv Vectors For Measuring Suspended Sediment Concentration Via Acoustic Backscatter, G. M. Cartwright, C. T. Friedrichs, R. Pico Vila, P. D. Panetta
Comparison Of Sontek Advocean-Hydras And Nortek Adv Vectors For Measuring Suspended Sediment Concentration Via Acoustic Backscatter, G. M. Cartwright, C. T. Friedrichs, R. Pico Vila, P. D. Panetta
Presentations
No abstract provided.
2012 Chesapeake Bay Sav Coverage, Sav Data Administrator, Virginia Institute Of Marine Science
2012 Chesapeake Bay Sav Coverage, Sav Data Administrator, Virginia Institute Of Marine Science
Data
Abstract: The 2012 Chesapeake Bay SAV Coverage was mapped from 1:24,000 black and white aerial photography to assess water quality in the Bay. Each area of SAV was interpreted from the rectified photography and classified into one of four density classes by the percentage of cover. The SAV beds were entered into an SDE GIS fetaure class using the quality control procedures documented below. The dataset contains all SAV areas that were identified from the areas flown. Some areas that are presumed to contain no SAV were not flown. Some small beds, particularly along narrow tributaries may not have been …
Combining Observations And Numerical Model Results To Improve Estimates Of Hypoxic Volume Within The Chesapeake Bay, A. Bever, M. Friedrichs, C. Friedrichs, M. Scully
Combining Observations And Numerical Model Results To Improve Estimates Of Hypoxic Volume Within The Chesapeake Bay, A. Bever, M. Friedrichs, C. Friedrichs, M. Scully
Presentations
No abstract provided.
Collaborative Opportunities With The Physical Sciences Research Group, C. T. Friedrichs
Collaborative Opportunities With The Physical Sciences Research Group, C. T. Friedrichs
Presentations
No abstract provided.
Rainich-Type Conditions For Null Electrovacuum Spacetimes Ii, Charles G. Torre
Rainich-Type Conditions For Null Electrovacuum Spacetimes Ii, Charles G. Torre
Research Vignettes
In this second of two worksheets I continue describing local Rainich-type conditions which are necessary and sufficient for the metric to define a null electrovacuum. In other words, these conditions, which I will call the null electrovacuum conditions, guarantee the existence of a null electromagnetic field such that the metric and electromagnetic field satisfy the Einstein-Maxwell equations. When it exists, the electromagnetic field is easily constructed from the metric. In this worksheet I consider the null electrovacuum conditions which apply when a certain null geodesic congruence determined by the metric is twisting. I shall illustrate the these conditions using a …
On Covariance Structure In Noisy, Big Data, Randy Paffenroth, Ryan Nong, Philip Du Toit
On Covariance Structure In Noisy, Big Data, Randy Paffenroth, Ryan Nong, Philip Du Toit
Randy C. Paffenroth
Herein we describe theory and algorithms for detecting covariance structures in large, noisy data sets. Our work uses ideas from matrix completion and robust principal component analysis to detect the presence of low-rank covariance matrices, even when the data is noisy, distorted by large corruptions, and only partially observed. In fact, the ability to handle partial observations combined with ideas from randomized algorithms for matrix decomposition enables us to produce asymptotically fast algorithms. Herein we will provide numerical demonstrations of the methods and their convergence properties. While such methods have applicability to many problems, including mathematical finance, crime analysis, and …
Pox And The City, Elizabeth S. Goins
Pox And The City, Elizabeth S. Goins
Journal of Interactive Humanities
Pox in the City is a prototype of a social history game that focuses on the medical profession circa 1800 in Edinburgh. The prototype was research, designed and developed on a small budget (about $17,000) and in a short time frame (20 weeks). The experimental design goal was to create a narrative driven educational game that was engaging and delivered some basic educational goals to be used in the high school and college level classrooms. To experiment with writing historic game narrative and to stay within budget, the design was built around a point and click adventure framework. Narrative was …