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Singularity among selfsimilar Gaussian random fields with different scaling parameters and others
(Taylor & Francis, 20181102)It is shown in this paper that the probability measures generated by selfsimilar Gaussian random fields are mutually singular, whenever they have different scaling parameters. So are those generated from a selfsimilar ... 
On the KolmogorovArnold representation theorem for continuous functions
(Wichita State University, 201812)In 1900 at the International Congress of Mathematicians in Paris, D. Hilbert posed 23 questions that later became known as Hilbert's 23 problems. Number 13 remained unresolved for over half a century until 1956 and 1957 ... 
Coverage probability of tolerance levels
(Wichita State University, 201812)In this thesis the ideas of the tolerance limit and coverage probabilities are explored in the context of the Abasis and Bbasis for composite materials. The breaking strength of composite materials are random variables ... 
Two contributions to order restricted inferences
(Wichita State University, 201812)We are proposing two separate problems from order restricted inferences. The rst is a onesided test for stochastic ordering of two distribution functions that protects against false positive conclusions because of model ... 
The effect of small time delays on largescale systems
(Wichita State University, 201812)In this research, model reduction techniques are used to design optimal control strategies with low sensitivity in order to model uncertainty. The source of uncertainty encountered is the time delay, and the reducedorder ... 
Kdifferenced vector random fields
(SIAM Publ., 2019)A thintailed vector random field, referred to as a Kdifferenced vector random field, is introduced. Its finitedimensional densities are the differences of two Besse! functions of second order, whenever they exist, and ... 
Inverse problem for onedimensional wave equation with matrix potential
(De Gruyter, 20190120)We prove a global uniqueness theorem of reconstruction of a matrixpotential a (x, t) {a(x,t)} of onedimensional wave equation □ u + a u = 0 {\square u+au=0}, x > 0, t > 0 {x>0,t>0}, □ = t 2  x 2 {\square=\partial{t}^ ... 
Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions
(Elsevier, 201905)In this paper a likelihood ratio test is developed through matrix projections for the hypothesis on the homogeneity of mean vectors in MANOVA. It is assumed that the mean vectors are under a general multivariate order ... 
Nonnegatively curved 6manifolds with almost maximal symmetry rank
(Springer Nature, 201901)We classify closed, simply connected, nonnegatively curved 6manifolds of almost maximal symmetry rank up to equivariant diffeomorphism. 
Timevarying isotropic vector random fields on compact twopoint homogeneous spaces
(Springer, 2018)A general form of the covariance matrix function is derived in this paper for a vector random field that is isotropic and mean square continuous on a compact connected twopoint homogeneous space and stationary on a temporal ... 
A pseudo restricted MLE under multivariate order restrictions and its algorithm
(Taylor & Francis, 20181221)It is shown in this paper that a quasi order for the vectors in Rp is a cone induced if and only if the order is preservable under limits and under linear combinations with nonnegative coefficients. For the mean vectors ... 
Increased CO2 hydrogenation to liquid products using promoted iron catalysts
(Elsevier, 201901)The effect of alkali promoter (K, Rb and Cs) on the performance of precipitated ironbased catalysts was investigated for carbon dioxide (CO2) hydrogenation. Characterization by temperatureprogrammed reduction with CO, ... 
A forward branching phase space generator for hadron colliders
(Springer Berlin Heidelberg, 201810)In this paper we develop a projective phase space generator appropriate for hadron collider geometry. The generator integrates over bremsstrahlung events which project back to a single, fixed Born event. The projection is ... 
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 ... 
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 ... 
Inverse source problems without (pseudo) convexity assumptions
(American Institute of Mathematical Sciences, 201808)We study the inverse source problem for the Helmholtz equation from boundary Cauchy data with multiple wave numbers. The main goal of this paper is to study the uniqueness and increasing stability when the (pseudo)convexity ... 
Hydrogenation of carbon dioxide over iron carbide prepared from alkali metal promoted iron oxalate
(Elsevier, 20180825)Iron carbide was prepared by the carburization of iron oxalate doped with various alkali metals in flowing CO at 400 degrees C. The addition of alkali metal (Li, Na, K, Rb or Cs) to iron oxalate was found to decrease the ... 
Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces
(Wichita State University, 201807)We obtain new estimates of stability for continuation of solutions of elliptic inequali ties  ∂u2 < = au2 from finite discrete sets. For this we use Hormander's type of Carleman estimates for ∂bar with boundary ... 
Increasing stability for the inverse scattering source problem with many frequencies
(Wichita State University, 201807)In mathematics and physics, the inverse scattering problem is the problem of determining characteristics of an object, based on data of how it scatters incoming radiation or particles. It is the inverse problem to the ... 
A comparative study of electroweak Higgs boson production at future Hadron Colliders
(Wichita State University, 201807)The discovery of the Higgs boson has opened the door to the next phase of exploration in particle physics. Since the Higgs boson was found in July 2012 at CERN's Large Hadron Collider (LHC), many researches and experiments ...