Browsing by Department "Mathematics"
Now showing items 41-60 of 340
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(2019-04-03)In this paper, we first introduce the RSK algorithm, which gives a correspondence between integer sequences and standard tableaux. Then we introduce Schensted’s theorem and Greene’s theorem that describe how the shape of ...
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(2010-10-12)A natural problem that arises in the study of derivations on a Banach algebra is to classify the commutators in the algebra. The problem as stated is too broad and we will only consider the algebra of operators acting on ...
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(Texas A&M University, 2006-08-16)This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifold M of dimension at least k in the boundary of a smooth bounded pseudoconvex domain in Cn is an obstruction to compactness ...
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(2014-07-10)In this dissertation we are concerned with a problem which asks whether the compactness of the ∂ ̅-Neumann operator is preserved under the intersection of two bounded pseudoconvex domains in ℂ^(n) with the mild assumption ...
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(2020-07-02)In this dissertation we consider methods from complex analysis to solve inverse spectral problems for Schroedinger operators on finite intervals and semi-infinite Jacobi operators. After discussing necessary background ...
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(2018-02-16)In this dissertation, we focus on analytic and numerical inversion of an integral transform (cone or Compton transform) that maps a function to its integrals over conical surfaces with a weight equal to some power of the ...
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(2018-08-07)The dissertation introduces a computational approach to classifying low rank modular categories up to their modular data. The modular data of a modular category is a pair of matrices, (S; T). Virtually all the numerical ...
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(2023-08-09)To an enumerative problem, one may associate a Galois group which encodes symmetries of the solutions to the problem. Galois groups of enumerative problems were first defined and studied by Jordan who considered them in ...
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(2015-12-16)In this thesis, two problems in computational mechanics, namely aircraft water entry and wind energy, have been studied together with description of related theory and methodology. Fluid calculations are carried out with ...
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(2018-09-21)In this dissertation, two problems are studied by computational mechanics. The first problem is the development and application of open-source software OpenFOAM to solve a coupled system from shape optimization on a ...
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(Texas A&M University, 2005-08-29)In this dissertation we develop and analyze numerical method to solve general elliptic boundary value problems with many scales. The numerical method presented is intended to capture the small scales effect on the ...
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We give an experimental method for calculating the central values of elliptic curve L-functions. We begin by providing some theoretical analysis of the method, and show that, on average, with appropriate choice of parameters, ...
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(2023-08-02)We determine defining equations for the set of concise tensors of minimal border rank in C m⊗C m⊗C m when m = 5 and the set of concise minimal border rank 1∗-generic tensors when m = 5, 6. We solve the classical problem ...
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(2016-06-13)The main purpose of this work is to study continuous finite element methods for hyperbolic problems. In scalar case, it is shown that using consistent mass matrix is not compatible with the maximum principle. Moreover, we ...
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(2021-04-24)Hypertension is a chronic disease that one has higher blood pressure than normal. Since it is highly related to cardiovascular diseases, which is the culprit of death over the world, it is important to study hypertension, ...
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(2015-07-28)Hypertension is a medical condition in which persistent high blood pressure causes the heart to exert more energy to circulate blood through the blood vessels and can lead to life threatening conditions including stroke, ...
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(Texas A&M University, 2004-09-30)In 1997, Drs. G. R. Blakley and I. Borosh published two papers whose stated purpose was to present a general formulation of the notion of a code that depends only upon a code's structure and not its functionality. In doing ...
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(2010-01-16)This dissertation consists of three parts. In the
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(2019-10-22)We consider a compact C ∞-stratified 2D variety M in R^3 and its ε-neighborhood Mvε , which we call a “fattened open book structure.” Assuming absence of zero-dimensional strata, i.e. “corners,” we show that the (discrete) ...
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(2018-04-27)We focus on a free triangular array of random variables {XN,ᵣ}1≤ᵣ≤N , N ∈ N, in some noncommutative probability space (A, φ) such that the random variables are freely independent and identically distributed in each row. ...