Browsing Mathematics, Statistics, and Physics by Title
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The Carleman formula and recovering the refractive index of the twodimensional Helmholtz equation
(2008)We consider the Cauchy problem for the Helmholtz equation with given bounded refrac tive index in an arbitrary planar domain with Cauchy data only on part of the boundary of the domain. We derive a Carlemantype formula ... 
The Carleman formula for the Hemholtz equation on the plane
(Springer Science+Business Media, Inc., 2006)We consider the Cauchy problem for the Helmholtz equation in an arbitrary bounded planar domain with Cauchy data only on part of the boundary of the domain. We derive a Carlemantype formula for a solution to this problem ... 
Cation distribution and dielectric properties of nanocrystalline gallium substituted nickel ferrite
(Elsevier B.V., 20140216)Nano crystalline NiFe2−xGaxO4, 0.0 ⩽ x ⩽ 1 ferrite was prepared by citrate method. The structural and micro structural evolutions of the nanophase have been studied using Xray powder diffraction and the Rietveld method. ... 
CMC capillary surfaces at reentrant corners
(Pacific Journal of Mathematics at the University of California, 200802)For a capillary graph in a vertical cylinder × R R3, the existence of a reentrant corner P 2 @ makes the determination of the continuity at P (or the behavior of the radial limits at P) of the solution problematic. ... 
Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics
(American Mathematical Society, 201307)Let X and Y be a pair of smooth manifolds, each obtainable from the other by surgery in codimension at least three. We show that the corresponding spaces Riem(+)(X) and Riem(+)(Y), respectively consisting of Riemannian ... 
Combinatorial input recognition algorithm Internet applications to HTTP web servers
(Wichita State University. Graduate School., 20070427)We introduce an algorithm for the classical recognition problem of identifying elements s within a class of strings S = {s1, s2, ..., sn}. Here it is assumed that struct s = { char *a; int z; }; and that for two strings ... 
A computing method for multivariate isotonic regression
(Wichita State University, 201012) 
Conformal deformation of a conic metric
(Wichita State University, 201105)The problem studied here focuses on a compact manifold M without boundary in which the Riemannian metric g is on Λ = M – {p1, p2,…,pκ}. Near the pi 's, g has a particular type of singularity in which locally M = (0, δ)x ... 
Conjectures in inverse boundary value problems for quasilinear elliptic equations
(Department of Mathematics of the Universidad de la Frontera TemucoChile and the Department of Mathematics of the Universidade Federal de Pernambuco, RecifeBrazil, 200512)Inverse boundary value problems originated in early 80’s, from the contribution of A.P. Calderon on the inverse conductivity problem [C], in which one attempts to recover the electrical conductivity of a body by means ... 
Conjugate loci of pseudoRiemannian 2step nilpotent Lie groups with nondegenerate center
(Springer, 2005)We determine the complete conjugate locus along all geodesics parallel or perpendicular to the center (Theorem 2.3). When the center is onedimensional we obtain formulas in all cases (Theorem 2.5), and when a certain ... 
Consistent estimation of distributions with type II bias with applications in competing
(Institute of Mathematical Statistics, 200402)A random variable X is symmetric about 0 if X and X have the same distribution. There is a large literature on the estimation of a distribution function (DF) under the symmetry restriction and tests for checking this ... 
Constrained pole placement by linear quadratic modification
(IEEE, 19910626)A noniterative method is introduced that will enable the designer to find an optmal one step state feedback controller. The controller will place the eigenvalues of the closed loop system in a specified disk. 
Construction and solution of an inverse problem posed by "Piekara’s Chair"
(Wichita State University, 200805)The article "Piekara's Chair: Mechanical Model for Atomic Energy Levels" by Zofia GolabMeyer presents a model of the realworld problem of determining classical energy states suitable for high school or undergraduate ... 
A convergent algorithm for a generalized multivariate isotonic regression problem
(Springer, 201202)Sasabuchi et al. (Biometrika 70(2):465472, 1983) introduces a multivariate version of the wellknown univariate isotonic regression which plays a key role in the field of statistical inference under order restrictions. ... 
Convex configurations for solutions to semilinear elliptic problems in convex rings
(Taylor & Francis Group, LLC, 200605)For a given convex ring and an L 1 function f:Ω × → + we show, under suitable assumptions on f, that there exists a solution (in the weak sense) to with {x Ω: u(x) > s} Ω1 convex, for all s (0, M). 
Covariance matrices for secondorder vector random fields in space and time
(IEEE, 20110501)This paper deals with vector (or multivariate) random fields in space and/or time with secondorder moments, for which a framework is needed for specifying not only the properties of each component but also the possible ... 
Covariance matrix functions of isotropic vector random fields
(Taylor & Francis Group, 20140515)An isotropic scalar or vector random field is a secondorder random field in (d > 2), whose covariance function or direct/cross covariance functions are isotropic. While isotropic scalar random fields have been well developed ... 
Covariance structures of Gaussian and logGaussian vector stochastic processes
(Wichita State University, 201212)Although the covariance structures of univariate Gaussian and log Gaussian stochastic processes have been extensively studied in the past few decades, the development of covariance structures for Gaussian and logGaussian ... 
Crack detection in a three dimensional body
(200605)We propose a method of analyzing a crack in a three dimensional body. We treat the problem as an inverse problem and apply Green’s Theorem, Trace Theorem, and the Fredholm Alternative. We model the problem using Helmholtz ... 
Derivation and regularization of corrections to propagators and vertices for cubically interacting scalar field theories
(Wichita State University, 201305)This thesis, a mainly expository work, attempts to give all the calculational details for some popular models in scalar quantum eld theory that serve a mostly pedagogical purpose. Starting with a real scalar eld with ...