Browsing Mathematics, Statistics, and Physics by Title
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Elliptic equations: Single boundary measurements
(Springer, 2017)In this chapter we consider the elliptic secondorder differential equation Au=finΩ,f=f0−∑j=1n∂jfjAu=finΩ,f=f0−∑j=1n∂jfj with the Dirichlet boundary data u=g0on∂Ω.u=g0on∂Ω. We assume that A = div(−a∇) + b ⋅ ∇ + c ... 
Enhanced thermal and dielectric performance in ternary $PVDF/PVP/Co_3O_4$ nanocomposites
(Wiley, 20211111)The main objective of this research was to prepare high thermal and dielectric performance $PVDF/PVP/Co_3O_4$ nanocomposites (PVDF, oply(vinylidene fluoride); PVP, polyvinylpyrrolidone) using the method of solution mixing. ... 
Enhancement of the critical current density in FeOcoated MgB2 thin films at high magnetic fields
(BEILSTEININSTITUT, 20111214)The effect of depositing FeO nanoparticles with a diameter of 10 nm onto the surface of MgB2 thin films on the critical current density was studied in comparison with the case of uncoated MgB2 thin films. We calculated the ... 
Epileptic foci localization using the inverse source problem for Maxwell's equations
(Wichita State University, 202005)Consider an application of the inverse source problem for Maxwell's equations to the matter of epileptic foci localization in the human brain. Using a current dipole to model the epileptic focus in the brain, and by ... 
Equilibrium configurations for a floating drop
(BirkhäuserVerlag, Basel, 20041201)If a drop of fluid of density ρ1 rests on the surface of a fluid of density ρ2 below a fluid of density ρ0, ρ0 < ρ1 < ρ2, the surface of the drop is made up of a sessile drop and an inverted sessile drop which match an ... 
Equivalence testing for mean vectors of multivariate normal populations
(Wichita State University, 201005)This dissertation examines the problem of comparing samples of multivariate normal data from two populations and concluding whether the populations are equivalent; equivalence is defined as the distance between the mean ... 
Estimating cumulative incidence functions when the life distributions are constrained
(Academic Press, 2010055)In competing risks studies, the KaplanMeier estimators of the distribution functions (DFs) of lifetimes and the corresponding estimators of cumulative incidence functions (CIFs) are used widely when no prior information ... 
Estimation of a starshaped distribution function
(Taylor & Francis LTD, 2017)A life distribution function (DF) F is said to be starshaped if F(x)/x is nondecreasing on its support. This generalises the model of a convex DF, even allowing for jumps. The nonparametric maximum likelihood estimation ... 
Estimation of distributions with the new better than used in expectation property
(Elsevier, 201305)A lifetime X with survival function S, mean residual life function (MRL) M, and finite mean μ is said to be new better than used in expectation (NBUE) if M(t)≤μ for all t≥0. We propose a new estimator for S, based on a ... 
Examples of discontinuity for the variational solution of the minimal surface equation with Dirichlet data on a domain with a nonconvex corner and locally negative mean curvature
(Wichita State University, 201312)The purpose of this thesis is to investigate the role of smoothness, specifically the smoothness of the boundary ∂Ω, in the behavior of the variational solution f on a domain Ω to the Dirichlet problem for the Minimal ... 
The existence of MorseSmale diffeomorphisms in the family of Hénon maps
(Wichita State University, 200905)We consider Hénon maps on ℝ² of the form fa,c(x,y)=(y,y2+c+ax) with real parameters (a, c). Due to the work of S. Hayes and C. Wolf [8], we provide a detailed investigation of the parameters 0 < a < 1 and c = 0. For each ... 
Experimental pairwise entanglement estimation for an Nqubit system: a machine learning approach for programming quantum hardware
(Springer, 20201103)Designing and implementing algorithms for medium and largescale quantum computers is not easy. In the previous work, we have suggested, and developed, the idea of using machine learning techniques to train a quantum ... 
Extending the piecewise exponential estimator of the survival function
(Wichita State University. Graduate School., 20080425)We propose a new way of extending the piecewise exponential estimator (PEXE) beyond the last observation, where the original PEXE and the KaplanMeier estimator (KME) of the true survival function (SF) are undefined. ... 
Fairest edge usage and minimum expected overlap for random spanning trees
(Elsevier, 202105)Random spanning trees of a graph $G$ are governed by a corresponding probability mass distribution (or "law"), $\mu$ defined on the set of all spanning trees of $G$ This paper addresses the problem of choosing $\mu$ in ... 
A fast local level set method for inverse gravimetry
(GlobalScience Press, 2011)We propose a fast local level set method for the inverse problem of gravimetry. The theoretical foundation for our approach is based on the following uniqueness result: if an open set D is starshaped or x(3)convex with ... 
First measurement of electron neutrino appearance in NOvA
(American Physical Society, 20160413)We report results from the first search for $\nu_\mu\to\nu_e$ transitions by the NOvA experiment. In an exposure equivalent to $2.74\times10^{20}$ protonsontarget in the upgraded NuMI beam at Fermilab, we observe 6 events ... 
First measurement of muonneutrino disappearance in NOvA
(American Physical Society, 20160325)This paper reports the first measurement using the NOvA detectors of $\nu_\mu$ disappearance in a $\nu_\mu$ beam. The analysis uses a 14 ktonequivalent exposure of $2.74 \times 10^{20}$ protonsontarget from the Fermilab ... 
FischerTropsch synthesis: Activity and selectivity of chiFe5C2 and circle minusFe3C carbides
(American Chemical Society, 20140810)Two different iron carbides, Hägg (χFe5C2) and cementite (ϴFe3C) for FischerTropsch synthesis (FTS) was investigated. Both iron carbides were oxidized to Fe3O4 during FTS. Hägg carbide (χFe5C2), initially exhibits ... 
FischerTropsch synthesis: Deactivation as a function of potassium promoter loading for precipitated iron catalyst
(Springer, 201410)The effect of potassium promoter loading (0, 0.5, 1.0 and 2.0 atomic ratio) on the performance of precipitated iron catalysts was investigated during FischerTropsch synthesis using a continuously stirred tank reactor. ... 
FischerTropsch synthesis: Effect of activation gas after varying Cu promoter loading over Kpromoted Febased catalyst
(© Springer, 201409)The effects of activation gas and copper promoter loading on the FischerTropsch synthesis performance of potassium promoted precipitated ironbased catalysts were investigated using a continuously stirred tank reactor. ...