L ∞-Algebra Actions,
2012
Pennsylvania State University
L ∞-Algebra Actions, Rajan Amit Mehta, Marco Zambon
Mathematics Sciences: Faculty Publications
We define the notion of action of an L -algebra g on a graded manifold M, and show that such an action corresponds to a homological vector field on g[1]×M of a specific form. This generalizes the correspondence between Lie algebra actions on manifolds and transformation Lie algebroids. In particular, we consider actions of g on a second L -algebra, leading to a notion of "semidirect product" of L -algebras more general than those we found in the literature.
On The Behavior Of The Gamma Function On The Negative Side,
2012
University of New Orleans
On The Behavior Of The Gamma Function On The Negative Side, Tri Minh Ngo
Senior Honors Theses
In this paper we analyze the behavior of the Gamma function at its critical points and points of discontinuity on the negative side of the x-axis. We will also explain the bluntness of the gamma function on this negative side.
On The Representation Of Inverse Semigroups By Difunctional Relations,
2012
University of Arkansas, Fayetteville
On The Representation Of Inverse Semigroups By Difunctional Relations, Nathan Bloomfield
Graduate Theses and Dissertations
A semigroup S is called inverse if for each s in S, there exists a unique t in S such that sts = s and tst = t. A relation σ contained in X x Y is called full if for all x in X and y in Y there exist x' in X and y' in Y such that (x, y') and (x', y) are in σ, and is called difunctional if σ satisfies the equation σ σ-1 σ = σ. Inverse semigroups were introduced by Wagner and Preston in 1952 and 1954, respectively, and difunctional relations were …
Using The Taylor Center To Teach Odes,
2012
Claremont Colleges
Using The Taylor Center To Teach Odes, Alexander Gofen
CODEE Journal
This article introduces a powerful ODE solver called the Taylor Center for PCs (http://taylorcenter.org/Gofen/) as a tool for teaching and performing numeric experiments with ODEs. The Taylor Center is an All-in-One GUI-style application for integrating ODEs by applying the modern Taylor Method (Automatic Differentiation). The Taylor Center also offers dynamic graphics (including 3D stereo vision). After a brief review of the features of the Taylor Center, we consider instructive examples of ODEs in various applications and also several particular examples illustrating intricacies of numeric integration. The article therefore continues the thesis of Borrelli and Coleman (CODEE Journal, http://www.codee.org/ref/CJ09-0157) that awareness …
Enhancing Effective Depth-Of-Field By Multi-Focus Image Fusion Using Morphological Techniques.,
2012
Indian Statistical Institute
Enhancing Effective Depth-Of-Field By Multi-Focus Image Fusion Using Morphological Techniques., Ishita De Ghosh Dr.
Doctoral Theses
A scene to be photographed, usually includes objects at varying distances from the camera. Depth-of-field of a digital camera is the range of distance, all objects within which appear to be sharp in the image. Due to the low depth-of-field of the camera, images acquired by them often suffer from degradation called out-of-foc us blur. One way to enhance the effective depth-of-field is to acquire se veral images of a scene with focus on different parts of it and then combine these images into a single image in such a way that all regions of the scene are in focus. …
Dark Solitons Of The Qiao's Hierarchy,
2012
Technological University Dublin
Dark Solitons Of The Qiao's Hierarchy, Rossen Ivanov, Tony Lyons
Articles
We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a series of works by Z. Qiao. The soliton solutions are in the class of real functions approaching constant value fast enough at infinity, the so-called 'dark solitons'.
Spectral Clustering: An Empirical Study Of Approximation Algorithms And Its Application To The Attrition Problem,
2012
University of California, Los Angeles
Spectral Clustering: An Empirical Study Of Approximation Algorithms And Its Application To The Attrition Problem, B. Cung, T Jin, J. Ramirez, A. Thompson, C. Boutsidis, Deanna Needell
CMC Faculty Publications and Research
Clustering is the problem of separating a set of objects into groups (called clusters) so that objects within the same cluster are more similar to each other than to those in different clusters. Spectral clustering is a now well-known method for clustering which utilizes the spectrum of the data similarity matrix to perform this separation. Since the method relies on solving an eigenvector problem, it is computationally expensive for large datasets. To overcome this constraint, approximation methods have been developed which aim to reduce running time while maintaining accurate classification. In this article, we summarize and experimentally evaluate several approximation …
Immunoglobulins Against Tyrosine-Nitrated Epitopes In Coronary Artery Disease,
2012
Children's Hospital of Philadelphia Research Institute
Immunoglobulins Against Tyrosine-Nitrated Epitopes In Coronary Artery Disease, Leonor Thomson, Margarita Tenopoulou, Richard Lightfoot, Epida Tsika, Ioannis Parastatidis, Marissa Martinez, Todd M. Greco, Paschalis Thomas Doulias, Yuping Wu, W.H. Wilson Tang, Stanley L. Hazen, Harry Ischiropoulos
Mathematics and Statistics Faculty Publications
Background—Several lines of evidence support a pathophysiological role of immunity in atherosclerosis. Tyrosine-nitrated proteins, a footprint of oxygen- and nitrogen-derived oxidants generated by cells of the immune system, are enriched in atheromatous lesions and in circulation of patients with coronary artery disease (CAD). However, the consequences of possible immune reactions triggered by the presence of nitrated proteins in subjects with clinically documented atherosclerosis have not been explored. Methods and Results—Specific immunoglobulins that recognize 3-nitrotyrosine epitopes were identified in human lesions, as well as in circulation of patients with CAD. The levels of circulating immunoglobulins against 3-nitrotyrosine epitopes were quantified in …
Variational Methods And Critical Point Theory,
2012
Florida Institute of Technology
Variational Methods And Critical Point Theory, Victoria Otero-Espinar, Juan J. Nieto, Donal O'Regan, Kanishka Perera
Mathematics and System Engineering Faculty Publications
[No abstract provided]
Numerical Solutions Of Elliptic Inverse Problems Via The Equation Error Method,
2012
Michigan Technological University
Numerical Solutions Of Elliptic Inverse Problems Via The Equation Error Method, Mohammad F. Al-Jamal
Dissertations, Master's Theses and Master's Reports - Open
To estimate a parameter in an elliptic boundary value problem, the method of equation error chooses the value that minimizes the error in the PDE and boundary condition (the solution of the BVP having been replaced by a measurement). The estimated parameter converges to the exact value as the measured data converge to the exact value, provided Tikhonov regularization is used to control the instability inherent in the problem. The error in the estimated solution can be bounded in an appropriate quotient norm; estimates can be derived for both the underlying (infinite-dimensional) problem and a finite-element discretization that can be …
Radar Signal Delay In The Dvali-Gabadadze-Porrati Gravity In The Vicinity Of The Sun,
2012
Wilfrid Laurier University
Radar Signal Delay In The Dvali-Gabadadze-Porrati Gravity In The Vicinity Of The Sun, Ioannis Haranas, Omiros Ragos, Ioannis Gkigkitzis
Physics and Computer Science Faculty Publications
In this paper we examine the recently introduced Dvali-Gabadadze-Porrati (DGP) gravity model. We use the space time metric in which the local gravitation source dominates the metric over the contributions from the cosmological flow. Anticipating ideal possible solar system effects we derive expressions for the signal time delays in the vicinity of the sun, and for various angles of the signal approach. We use the corresponding numerical value for the parameter r0 to be equal to 5 Mpc, and from that we calculate that the time contribution due to DGP correction to the metric is proportional to b3/2 …
Zadeh's Vision Of Going From Fuzzy To Computing With Words: From The Idea's Origin To Current Successes To Remaining Challenges,
2012
The University of Texas at El Paso
Zadeh's Vision Of Going From Fuzzy To Computing With Words: From The Idea's Origin To Current Successes To Remaining Challenges, Vladik Kreinovich
Departmental Technical Reports (CS)
No abstract provided.
Forbidden Symmetries,
2012
Santa Clara University
Forbidden Symmetries, Frank A. Farris
Mathematics and Computer Science
The purpose of this paper is to show that an effort to construct functions known not to exist may on occasion produce interesting frauds. Our method produces a family of Harald Bohr's quasiperiodic functions, which may well remind readers of the quasicrystals that have been much in the news since Daniel Shechtman won the Nobel Prize in Chemistry in 2011.
Elementary Orbifold Differential Topology,
2012
California Polytechnic State University, San Luis Obispo
Elementary Orbifold Differential Topology, Joseph E. Borzellino, Victor Brunsden
Mathematics
Taking an elementary and straightforward approach, we develop the concept of a regular value for a smooth map f:O→P between smooth orbifolds O and P. We show that Sardʼs theorem holds and that the inverse image of a regular value is a smooth full suborbifold of O. We also study some constraints that the existence of a smooth orbifold map imposes on local isotropy groups. As an application, we prove a Borsuk no retraction theorem for compact orbifolds with boundary and some obstructions to the existence of real-valued orbifold maps from local model orbifold …
Weak Covering Properties And Infinite Games,
2012
Boise State University
Weak Covering Properties And Infinite Games, L. Babinkostova, B. A. Pansera, M. Scheepers
Mathematics Faculty Publications and Presentations
We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.
Clinical And Genetic Association Of Serum Paraoxonase And Arylesterase Activities With Cardiovascular Risk,
2012
Lerner Research Institute
Clinical And Genetic Association Of Serum Paraoxonase And Arylesterase Activities With Cardiovascular Risk, W.H. Wilson Tang, Jaana Hartiala, Yiying Fan, Yuping Wu, Alexandre F.R. Stewart, Jeanette Erdmann, Sekar Kathiresan, Cardiogram Consortium, Lerner Research Institute, Robert Roberts, Ruth Mcpherson, Hooman Allayee, Stanley L. Hazen
Mathematics and Statistics Faculty Publications
Objective—Diminished serum paraoxonase and arylesterase activities (measures of paraoxonase-1 [PON-1] function) in humans have been linked to heightened systemic oxidative stress and atherosclerosis risk. The clinical prognostic use of measuring distinct PON-1 activities has not been established, and the genetic determinants of PON-1 activities are not known. Methods and Results—We established analytically robust high-throughput assays for serum paraoxonase and arylesterase activities and measured these in 3668 stable subjects undergoing elective coronary angiography without acute coronary syndrome and were prospectively followed for major adverse cardiovascular events (MACE= death, myocardial infarction, stroke) over 3 years. Low serum arylesterase and paraoxonase activities were …
Prognostic Role Of Pulmonary Arterial Capacitance In Advanced Heart Failure,
2012
Heart and Vascular Institute
Prognostic Role Of Pulmonary Arterial Capacitance In Advanced Heart Failure, Matthias Dupont, Wilfried Mullens, Hadi N. Skouri, Zuheir Abrahams, Yuping Wu, David O. Taylor, Randall C. Starling, W.H. Wilson Tang
Mathematics and Statistics Faculty Publications
Background—Right ventricular (RV) dysfunction frequently occurs and independently prognosticates in left-sided heart failure. It is not clear which RV afterload measure has the greatest impact on RV function and prognosis. We examined the determinants, prognostic role, and response to treatment of pulmonary arterial capacitance (PAC, ratio of stroke volume over pulmonary pulse pressure), in relation to pulmonary vascular resistance (PVR) in heart failure. Methods and Results—We reviewed 724 consecutive patients with heart failure who underwent right heart catheterization between 2000 and 2005. Changes in PAC were explored in an independent cohort of 75 subjects treated for acute decompensated heart failure. …
G-Cimp Status Prediction Of Glioblastoma Samples Using Mrna Expression Data,
2012
National Institutes of Health
G-Cimp Status Prediction Of Glioblastoma Samples Using Mrna Expression Data, Mehmet Baysan, Serdar Bozdag, Margaret C. Cam, Svetlana Kotliarova, Susie Ahn, Jennifer Walling, Jonathan K. Killian, Holly Stevenson, Paul Meltzer, Howard A. Fine
Mathematics, Statistics and Computer Science Faculty Research and Publications
Glioblastoma Multiforme (GBM) is a tumor with high mortality and no known cure. The dramatic molecular and clinical heterogeneity seen in this tumor has led to attempts to define genetically similar subgroups of GBM with the hope of developing tumor specific therapies targeted to the unique biology within each of these subgroups. Recently, a subset of relatively favorable prognosis GBMs has been identified. These glioma CpG island methylator phenotype, or G-CIMP tumors, have distinct genomic copy number aberrations, DNA methylation patterns, and (mRNA) expression profiles compared to other GBMs. While the standard method for identifying G-CIMP tumors is based on …
Self-Assembled Nanoparticle Antiglare Coatings,
2012
University of Florida
Self-Assembled Nanoparticle Antiglare Coatings, Khalid Askar, Blayne M. Phillips, Xuan Dou, Juan Lopez, Carl Smith, Bin Jiang, Peng Jiang
Mathematics and Statistics Faculty Publications and Presentations
Here we report a simple and scalable bottom-up technology for assembling close-packed nanoparticle monolayers on both sides of a glass substrate as high-quality antiglare coatings. Optical measurements show that monolayer coatings consisting of 110 nm silica nanoparticles can significantly reduce optical reflectance and enhance specular transmittance of the glass substrate for a broad range of visible wavelengths. Both experiments and numerical simulations reveal that the antiglare properties of the self-assembled colloidal monolayers are significantly affected by the size of the colloidal particles.
G-Strands,
2012
Imperial College London
G-Strands, Darryl Holm, Rossen Ivanov, James Percival
Articles
A G-strand is a map g(t,s): RxR --> G for a Lie group G that follows from Hamilton's principle for a certain class of G-invariant Lagrangians. The SO(3)-strand is the G-strand version of the rigid body equation and it may be regarded physically as a continuous spin chain. Here, SO(3)K-strand dynamics for ellipsoidal rotations is derived as an Euler-Poincar'e system for a certain class of variations and recast as a Lie-Poisson system for coadjoint flow with the same Hamiltonian structure as for a perfect complex fluid. For a special Hamiltonian, the SO(3) …
