Browsing Mathematics, Statistics, and Physics by Title
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A capillary surface with no radial limits
(Pacific Journal of Mathematics, 2018)In 1996, Kirk Lancaster and David Siegel investigated the existence and behavior of radial limits at a corner of the boundary of the domain of solutions of capillary and other prescribed mean curvature problems with contact ... 
Carleman estimates and applications to inverse problems
(Birkhäuser Verlag Basel/Switzerland, 2004)This review paper describes some general and recent results of possible interest for mathematicians studying or using uniqueness of the continuation or working on control theory or inverse problems for partial ... 
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. ... 
Chapter 1  Quantum neural computation of entanglement is robust to noise and decoherence
(Elsevier, 2017)Measurement and witnesses of entanglement remain an important issue in quantum computing. Most witnesses will work for only a very restricted class of states, while measurements commonly require lengthy procedures. Quantum ... 
Chronologically dating the early assembly of the Milky Way
(Springer Nature, 20210517)The standard cosmological model predicts that galaxies are built through hierarchical assembly on cosmological timescales$^{1,2}.$ The Milky Way, like other disk galaxies, underwent violent mergers and accretion of small ... 
Classification of simply connected cohomogeneity one manifolds in lower dimensions
(Wichita State University, 201705)A cohomogeneity one manifold is a topological manifold with an effective topological action of a compact Lie group whose quotient is one dimensional. Cohomogeneity one manifolds were introduced by Mostert in 1957, however ... 
Cluster analysis: A modern statistical review
(John Wiley and Sons Inc, 20220819)Cluster analysis is a big, sprawling field. This review paper cannot hope to fully survey the territory. Instead, it focuses on hierarchical agglomerative clustering, kmeans clustering, mixture models, and then several ... 
Clustering and forecasting financial activities at Emprise Bank
(Wichita State University, 20230414)Understanding customers' activities and preferences allows companies to better allocate their resources and streamline services. On this collaborative project, we focus on identifying and extracting useful patterns of ... 
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 ... 
Coefficients and Fekete–Szegö Functional Estimations of BiUnivalent Subclasses Based on Gegenbauer Polynomials
(Multidisciplinary Digital Publishing Institute (MDPI), 20230625)Subclasses of analytic and biunivalent functions have been extensively improved and utilized for estimating the TaylorMaclaurin coefficients and the Fekete–Szegö functional. In this paper, we consider a certain subclass ... 
Cohomogeneity one central Kähler metrics in dimension four
(Walter de Gruyter GmbH, 202308)A Kähler metric is called central if the determinant of its Ricci endomorphism is constant; see [12]. For the case in which this constant is zero, we study on 4manifolds the existence of complete metrics of this type which ... 
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 ... 
Comparing motor competence of sexand agematched youth with intellectual disability from Brazil and the United States
(Human Kinetics Publishers Inc., 2020)Youth with intellectual disabilities (IDs) demonstrate belowcriteria motor competence (MC) compared with typically developing (TD) youth. Whether differences in MC exist for youth with ID from different countries is ... 
A comparison of some numerical conformal mapping methods for simply and multiply connected domains
(American Institute of Mathematical Sciences, 201901)This paper compares some methods for computing conformal maps from simply and multiply connected domains bounded by circles to target domains bounded by smooth curves and curves with corners. We discuss the use of explicit ... 
Composite optimal control for interconnected singularly perturbed systems
(Wichita State University, 201705)This dissertation deals with the design of a decentralized control and estimators for large scale interconnected singularly perturbed stochastic systems for system stabilization and cost minimization. Singular perturbation ... 
Computation of plane potential flow around multielement airfoils using the SchottkyKlein prime function
(Elsevier, 20230801)Potential flow is computed around multielement airfoils in two dimensions using numerical conformal mapping combined with the calculus of the SchottkyKlein prime function. The corners at the trailing edges of the airfoils ... 
Computation of plane potential flow past multielement airfoils using conformal mapping, revisited
(Wichita State University, 201805)Calculations of potential ow and pressure over multielement airfoils are studied, using conformal maps. A composition of classical KarmanTre tz maps is used to smooth out the trailing edge corners successively, from ...