• Monte Carlo simulations of a near-solar orbit neutrino detector 

  Gimar, Caleb J. (Wichita State University, 2019-05)

  Neutrinos—weakly interacting subatomic particles often resultant of nuclear processes, including hydrogen fusion—are the only direct insight into the core of the Sun. Previously constructed neutrino detection experiments ...

• Pattern storage in qubit arrays using entanglement and quantum annealing 

  Samarakoon, Bathiya (Wichita State University, 2019-05)

  Multiqubit arrays can be prepared in any state by adjusting the parameters in the Hamiltonian that governs their time evolution. In this work we show that these arrays can be used for pattern storage and recall, using ...

• Isotropic positive definite functions on spheres generated from those in Euclidean spaces 

  Nie, Zhihui (Wichita State University, 2019-05)

  In this thesis, author have reviewed the classical characterizations of isotropic positive definite functions on Euclidean spaces and spheres, and had applied them to develop a construction of isotropic positive de nite ...

• On the Kolmogorov-Arnold representation theorem for continuous functions 

  Bragg, Aaron R. (Wichita State University, 2018-12)

  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 

  Lann-Wolcott, Matthew (Wichita State University, 2018-12)

  In this thesis the ideas of the tolerance limit and coverage probabilities are explored in the context of the A-basis and B-basis for composite materials. The breaking strength of composite materials are random variables ...

• Two contributions to order restricted inferences 

  Echart, Alexandra K. (Wichita State University, 2018-12)

  We are proposing two separate problems from order restricted inferences. The rst is a one-sided test for stochastic ordering of two distribution functions that protects against false positive conclusions because of model ...

• The effect of small time delays on large-scale systems 

  Almutairi, Shahah (Wichita State University, 2018-12)

  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 reduced-order ...

• Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces 

  Domme, Cristina C. (Wichita State University, 2018-07)

  We obtain new estimates of stability for continuation of solutions of elliptic inequali- ties | ∂u|2 < = a|u|2 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 

  Entekhabi, Mozhgan (Nora) (Wichita State University, 2018-07)

  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 

  Chen, Tinghua (Wichita State University, 2018-07)

  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 ...

• Semi-inclusive neutral current neutral pion production selection at the NOvA (numi off-axis electron neutrino appearance) near detector using prong level convolutional neural networks 

  Cedeno, Alan Javier (Wichita State University, 2018-05)

  The NONA neutrino experiment based in Fermilab is designed to measure ! e neutrino oscillations. This experiment will give us insight into the properties of massive neutrinos. Neutral current (NC) ;e neutral pion ...

• Monochromatic molecular absorption coefficients for use in calculations of stellar opacity 

  Ehrmann, Kari Lynn (Wichita State University, 2018-05)

  In order to fully understand stellar structure, it is necessary to know the opacity, as it influences the behavior of radiative transfer within the stellar interior. Opacity plays an important role in the onset of ...

• Strict Whitney arcs and t-quasi self-similar arcs 

  Wei, Xin (Wichita State University, 2018-05)

  A connected compact subset E of RN is said to be a strict Whitney set if there exists a real-valued C1 function f on RN with ∇f |E ≡ 0 such that f is constant on no non-empty relatively open subsets of E. We prove that ...

• Computation of plane potential flow past multi-element airfoils using conformal mapping, revisited 

  Sahraei, Saman (Wichita State University, 2018-05)

  Calculations of potential ow and pressure over multi-element airfoils are studied, using conformal maps. A composition of classical Karman-Tre tz maps is used to smooth out the trailing edge corners successively, from ...

• Scalar and vector tomography for the weighed transport equation 

  Thompson, Nathan (Wichita State University, 2018-05)

  This dissertation is embargoed to May 2019.

• Pluripolar hulls and convergence sets 

  Chen, Juan (Wichita State University, 2018-05)

  The pluripolar hull of a pluripolar set E in Pn is the intersection of all complete pluripolar sets in Pn that contain E. We prove that the pluripolar hull of each compact pluripolar set in Pn is F . The convergence set ...

• Composite optimal control for interconnected singularly perturbed systems 

  Alghamdi, Saud A. (Wichita State University, 2017-05)

  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 ...

• Unbiasedness of homogeneity test of normal mean vectors under multivariate order restrictions 

  Hamdan, Mustafa (Wichita State University, 2017-05)

  This dissertation considers homogeneity test for comparing multivariate normal populations with generalized order restricted alternative hypothesis. The framework in this dissertation presents a generalized multivariate ...

• A capillary surface with no radial limits 

  Mitchell, Colm Patric (Wichita State University, 2017-05)

  We begin by discussing the circumstances of capillary surfaces in regions with a corner, both concave and convex. These circumstances led to the (since proved) Concus-Finn Conjecture, which gives the requirements for a ...

• Classification of simply connected cohomogeneity one manifolds in lower dimensions 

  Muzzy, Sara E. (Wichita State University, 2017-05)

  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 ...

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