Operation Comics: Making Math Fun,
2011
Western Kentucky University
Operation Comics: Making Math Fun, Bruce Kessler
Mathematics Faculty Publications
This talk gives a background on the Operation Comics series, which integrates mathematics into a comic book storyline, as an example of how creativity is not exclusive to the traditional arts, like music and dance, but is a vital part of math, science, and engineering.
Euler Equations On A Semi-Direct Product Of The Diffeomorphisms Group By Itself,
2011
Institute for Applied Mathematics, University of Hanover, D-30167 Hanover, Germany
Euler Equations On A Semi-Direct Product Of The Diffeomorphisms Group By Itself, Joachim Escher, Rossen Ivanov, Boris Kolev
Articles
The geodesic equations of a class of right invariant metrics on the semi-direct product of two Diff(S) groups are studied. The equations are explicitly described, they have the form of a system of coupled equations of Camassa-Holm type and possess singular (peakon) solutions. Their integrability is further investigated, however no compatible bi-Hamiltonian structures on the corresponding dual Lie algebra are found.
Phase History Decomposition For Efficient Scatterer Classification In Sar Imagery,
2011
Air Force Institute of Technology
Phase History Decomposition For Efficient Scatterer Classification In Sar Imagery, Dane F. Fuller
Theses and Dissertations
A new theory and algorithm for scatterer classification in SAR imagery is presented. The automated classification process is operationally efficient compared to existing image segmentation methods requiring human supervision. The algorithm reconstructs coarse resolution subimages from subdomains of the SAR phase history. It analyzes local peaks in the subimages to determine locations and geometric shapes of scatterers in the scene. Scatterer locations are indicated by the presence of a stable peak in all subimages for a given subaperture, while scatterer shapes are indicated by changes in pixel intensity. A new multi-peak model is developed from physical models of electromagnetic scattering …
Solutions To Quasi-Relativistic Multi-Configurative Hartree-Fock Equations In Quantum Chemistry,
2011
Technological University Dublin
Solutions To Quasi-Relativistic Multi-Configurative Hartree-Fock Equations In Quantum Chemistry, Carlos Argáez García, Michael Melgaard
Articles
We establish existence of infinitely many distinct solutions to the multi-configurative Hartree-Fock type equations for N-electron Coulomb systems with quasi-relativistic kinetic energy for the n th electron. Finitely many of the solutions are interpreted as excited states of the molecule. Moreover, we prove existence of a ground state. The results are valid under the hypotheses that the total charge Z of K nuclei is greater than N-1 and that Z is smaller than a critical charge. The proofs are based on a new application of the Lions-Fang-Ghoussoub critical point approach to nonminimal solutions on a complete analytic Hilbert-Riemann manifold.
Gm-Csf Production Allows The Identification Of Immunoprevalent Antigens Recognized By Human Cd4+ T Cells Following Smallpox Vaccination,
2011
Torrey Pines Institute for Molecular Studies (TPIMS)
Gm-Csf Production Allows The Identification Of Immunoprevalent Antigens Recognized By Human Cd4+ T Cells Following Smallpox Vaccination, Valeria A. Judkowski, Alcinette Bunying, Feng Ge, Jon R. Appel, Kingyee Law, Atima Sharma, Claudia Raja-Gabaglia, Patricia Norori, Radleigh Santos, Marc Giulianotti, Mark K. Slifka, Daniel C. Douek, Barney S. Graham, Clemencia Pinilla
Mathematics Faculty Articles
The threat of bioterrorism with smallpox and the broad use of vaccinia vectors for other vaccines have led to the resurgence in the study of vaccinia immunological memory. The importance of the role of CD4+ T cells in the control of vaccinia infection is well known. However, more CD8+ than CD4+ T cell epitopes recognized by human subjects immunized with vaccinia virus have been reported. This could be, in part, due to the fact that most of the studies that have identified human CD4+ specific protein-derived fragments or peptides have used IFN-γ production to evaluate vaccinia specific T cell responses. …
Are Symbolic Powers Highly Evolved?,
2011
University of Nebraska - Lincoln
Are Symbolic Powers Highly Evolved?, Brian Harbourne, Craig Hunkeke
Department of Mathematics: Faculty Publications
Searching for structural reasons behind old results and conjectures of Chudnovksy regarding the least degree of a nonzero form in an ideal of fat points in PN, we make conjectures which explain them, and we prove the conjectures in certain cases, including the case of general points in P2. Our conjectures were also partly motivated by the Eisenbud-Mazur Conjecture on evolutions, which concerns symbolic squares of prime ideals in local rings, but in contrast we consider higher symbolic powers of homogeneous ideals in polynomial rings.
Lipschitz Regularity For Inner-Variational Equations,
2011
Syracuse University and University of Helsinki
Lipschitz Regularity For Inner-Variational Equations, Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen
Mathematics - All Scholarship
We obtain Lipschitz regularity results for a fairly general class of nonlinear first-order PDEs. These equations arise from the inner variation of certain energy integrals. Even in the simplest model case of the Dirichlet energy the inner-stationary solutions need not be differentiable everywhere; the Lipschitz continuity is the best possible. But the proofs, even in the Dirichlet case, turn out to relay on topological arguments. The appeal to the inner-stationary solutions in this context is motivated by the classical problems of existence and regularity of the energy-minimal deformations in the theory of harmonic mappings and certain mathematical models of nonlinear …
Analysis And Finite Element Approximation Of A Coupled, Continuum Pipe-Flow/Darcy Model For Flow In Porous Media With Embedded Conduits,
2011
Missouri University of Science and Technology
Analysis And Finite Element Approximation Of A Coupled, Continuum Pipe-Flow/Darcy Model For Flow In Porous Media With Embedded Conduits, Yanzhao Cao, Max Gunzburger, Fei Hua, Xiaoming Wang
Mathematics and Statistics Faculty Research & Creative Works
We consider the continuum Darcy/pipe flow model for flows in a porous matrix containing embedded conduits; such coupled flows are present in, e.g., karst aquifers. the mathematical well-posedness of the coupled problem as well as convergence rates of finite element approximation are established in the two-dimensional case. Computational results are also provided. © 2010 Wiley Periodicals, Inc.
Several Approaches For The Derivation Of Stationary Conditions For Elliptic Mpecs With Upper-Level Control Constraints,
2011
University of Berlin, Germany
Several Approaches For The Derivation Of Stationary Conditions For Elliptic Mpecs With Upper-Level Control Constraints, M Hintermüller, Boris S. Mordukhovich, T Surowiec
Mathematics Research Reports
The derivation of multiplier-based optimality conditions for elliptic mathematical programs with equilibrium constraints (MPEC) is essential for the characterization of solutions and development of numerical methods. Though much can be said for broad classes of elliptic MPECs in both polyhedric and non-polyhedric settings, the calculation becomes significantly more complicated when additional constraints are imposed on the control. In this paper we develop three derivation methods for constrained MPEC problems: via concepts from variational analysis, via penalization of the control constraints, and via penalization of the lower-level problem with the subsequent regularization of the resulting nonsmoothness. The developed methods and obtained …
A New Undergraduate Curriculum On Mathematical Biology At University Of Dayton,
2011
University of Dayton
A New Undergraduate Curriculum On Mathematical Biology At University Of Dayton, Muhammad Usman, Amit Singh
Mathematics Faculty Publications
The beginning of modern science is marked by efforts of pioneers to understand the natural world using a quantitative approach. As Galileo wrote, "the book of nature is written in the language of mathematics". The traditional undergraduate course curriculum is heavily focused on individual disciplines like biology, physics, chemistry, mathematics rather than interdisciplinary courses. This fragmented teaching of sciences in majority of universities leave biology outside the quantitative and mathematical approaches. The landscape of biomedical science has transformed dramatically with advances in high throughput experimental approaches, which led to the huge amount of data. The best possible approach to generate …
An Axiomatic Approach To The Non-Linear Theory Of Generalized Functions And Consistency Of Laplace Transforms,
2011
California Polytechnic State University - San Luis Obispo
An Axiomatic Approach To The Non-Linear Theory Of Generalized Functions And Consistency Of Laplace Transforms, Todor D. Todorov
Mathematics
We offer an axiomatic definition of a differential algebra of generalized functions over an algebraically closed non-Archimedean field. This algebra is of Colombeau type in the sense that it contains a copy of the space of Schwartz distributions. We study the uniqueness of the objects we define and the consistency of our axioms. Next, we identify an inconsistency in the conventional Laplace transform theory. As an application we offer a free of contradictions alternative in the framework of our algebra of generalized functions. The article is aimed at mathematicians, physicists and engineers who are interested in the non-linear theory of …
Characterizing Convergence Conditions For The Mα-Integral,
2011
Ateneo de Manila University
Characterizing Convergence Conditions For The Mα-Integral, Ian June L. Garces, Abraham P. Racca
Mathematics Faculty Publications
Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries.
Combinatorial Bounds On Hilbert Functions Of Fat Points In Projective Space,
2011
California Polytechnic State University - San Luis Obispo
Combinatorial Bounds On Hilbert Functions Of Fat Points In Projective Space, Susan Cooper, Brian Harbourne, Zach Teitler
Mathematics Faculty Publications and Presentations
We study Hilbert functions of certain non-reduced schemes A supported at finite sets of points in PN, in particular, fat point schemes. We give combinatorially defined upper and lower bounds for the Hilbert function of A using nothing more than the multiplicities of the points and information about which subsets of the points are linearly dependent. When N = 2, we give these bounds explicitly and we give a sufficient criterion for the upper and lower bounds to be equal. When this criterion is satisfied, we give both a simple formula for the Hilbert function and combinatorially defined …
The Constructions Of Almost Binary Sequence Pairs And Binary Sequence Pairs With Three-Level Autocorrelation,
2011
Wright State University - Main Campus
The Constructions Of Almost Binary Sequence Pairs And Binary Sequence Pairs With Three-Level Autocorrelation, Xiuping Peng, Chengqian Xu, Guang Li, Krishnasamy T. Arasu
Mathematics and Statistics Faculty Publications
In this letter, a new class of almost binary sequence pairs with a single zero element and three autocorrelation values is presented. The new almost binary sequence pairs are based on cyclic difference sets and difference set pairs. By applying the method to the binary sequence pairs, new binary sequence pairs with three-level autocorrelation are constructed. It is shown that new sequence pairs from our constructions are balanced or almost balanced and have optimal three-level autocorrelation when the characteristic sequences or sequence pairs of difference sets or difference set pairs are balanced or almost balanced and have optimal autocorrelations.
Approximations Of Fractional Stochastic Differential Equations By Means Of Transport Processes,
2011
Louisiana State University
Approximations Of Fractional Stochastic Differential Equations By Means Of Transport Processes, Johanna Garzón, Luis G Gorostiza, Jorge A León
Communications on Stochastic Analysis
No abstract provided.
Twin Mrm-Triples In Multiplicative Renormalization Method,
2011
Louisiana State University
Twin Mrm-Triples In Multiplicative Renormalization Method, Izumi Kubo, Hui-Hsiung Kuo
Communications on Stochastic Analysis
No abstract provided.
Weak Convergence For Approximation Of American Option Prices,
2011
Louisiana State University
Weak Convergence For Approximation Of American Option Prices, Weiping Li, Mei Xing
Communications on Stochastic Analysis
No abstract provided.
Risk Indifference Pricing Of Functional Claims Of The Yield Surface In The Presence Of Partial Information,
2011
Louisiana State University
Risk Indifference Pricing Of Functional Claims Of The Yield Surface In The Presence Of Partial Information, Ta Thi Kieu An, Frank Proske, Mark Rubtsov
Communications on Stochastic Analysis
No abstract provided.
A Stochastic Lagrangian Particle Model And Nonlinear Filtering For Three Dimensional Euler Flow With Jumps,
2011
Louisiana State University
A Stochastic Lagrangian Particle Model And Nonlinear Filtering For Three Dimensional Euler Flow With Jumps, Sivaguru S Sritharan, Meng Xu
Communications on Stochastic Analysis
No abstract provided.
General Alpha-Wiener Bridges,
2011
Louisiana State University
General Alpha-Wiener Bridges, Mátyás Barczy, Peter Kern
Communications on Stochastic Analysis
No abstract provided.
