Browsing Mathematics, Statistics, and Physics by Title
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Applications of the hCobordism Theorem
(Wichita State University, 201405)We provide an exposition of J. Milnor's proof of the hCobordism Theorem. This theorem states that a smooth, compact, simply connected ndimensional manifold W with n greater than or equal to 6, whose boundary boundaryW ... 
Applied topological data analysis to ElNiño Southern Oscillation
(Wichita State University, 202107)The El Niño Southern Oscillation (ENSO) is one of the most powerful climate phenomena that can change global air circulation, affecting temperature and rainfall around the planet. ENSO has three phases: El Niño and La ... 
Attenuation simulations and hardware design for the nuSol Spacebased Neutrino Probe
(Wichita State University, 20210402)INTRODUCTION: The nuSol project aims to design, build, and launch a small payload which will perform several nearsolar approaches in order to demonstrate the viability of a spacebased neutrino detector and perform ... 
Behavior of some CMC capillary surfaces at convex corners
(Pacific Journal of Mathematics at the University of California, 200604)We construct examples of nonparametric surfaces z = h(x, y) of zero mean curvature which satisfy contact angle boundary conditions in a cylinder in R3 over a convex domain with corners. When the contact angles for ... 
Binomialchi(2) vector random fields
(SIAM Publ., 2017)We introduce a new class of nonGaussian vector random fields in space and/or time, which are termed binomialchi(2) vector random fields and include chi(2) vector random fields as special cases. We define a binomialchi(2) ... 
Biologically motivated quantum neural networks
(IEEE, 2017)This paper presents one step toward creating the building blocks for machine intelligence that is inspired by its biological equivalent. The authors' quantum learning methods (deep quantum learning) are applied to quantum ... 
Blocking duality for pmodulus on networks and applications
(Springer, 201906)This paper explores the implications of blocking dualitypioneered by Fulkerson et al.in the context of pmodulus on networks. Fulkerson blocking duality is an analog on networks to the method of conjugate families of curves ... 
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 ... 
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 ... 
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 ...