Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 19 of 19 for “"theoretical mathematics"”.
-
Topics in geometric analysis with applications to partial differential equations
… in rather distinct fields of applied and theoretical mathematics, and have traditionally evolved on distinct, parallel paths. Our ultimate goal is to provide alternative, conceptually simpler approaches to some of the basic results in these fields.
-
Learning Machines: Pedagogy, Academic-Industrial Collaboration, and Knowledge Work in the Russian Data Sciences
… Russia has long had a strong national program in theoretical mathematics, but has been less successful at applying this expertise to the development of modern computational science, infrastructure, and business. As the Russian extractive economy stagnates, however, these elites are looking to data …
-
On Solovay's Theorem and a Proof of Arithmetical Completeness of a New Predicate Modal Logic
This thesis investigates a first-order extension of GL called ML3. We briefly discuss the latters properties and some of its toolbox: some metatheorems, the conservation theorem, and its semantic completeness (with respect to finite reverse wellfounded Kripke models). Applying the Solovay technique …
-
Maximal Saturated Linear Orders
The goal of this dissertation is to prove two theorems related to a question posed by Felix Hausdorff in 1907 regarding pantachies, which are maximal linearly ordered subsets of the space of real-valued sequences partially ordered by eventual domination. Hausdorff's question was as follows: is …
-
On the Strong Direct Summand Conjecture
In this thesis, our aim is the study the Vanishing of Maps of Tor Conjecture of Hochster and Huneke. We mainly focus on an equivalent characterization called the Strong Direct Summand Conjecture, due to N. Ranganathan. Our results are separated into three chapters. In Chapter 3, we prove special …
-
Topics in Analytic Number Theory
In the second chapter we study the Multiplicative Partition Function. In the third chapter we study an analog of the abc conjecture for arithmetical functions in r variables over a field K of characteristic zero.
-
Some Results on G-Delta Ideals of Compact Sets
For a compact metric space E, Solecki has defined a broad natural class of Gdelta ideals of compact sets on E, called Gdelta ideals with property (*), and has shown that any ideal I in this class can be represented through the ideal of nowhere dense subsets of a closed subset F of the hyperspace of …
-
Climbing Mount Probable
This work attempts to explain the relationships between natural selection, information theory, and statistical inference. In particular, a geometric formulation of information theory known as information geometry and its deep connections to evolutionary game theory inform the role of natural …
-
Literature in the age of mathematics: Gender and the multiplicity of modernity
This dissertation investigates mathematics as a multivalent metaphor in twentieth-century fiction and theory and as a powerful cultural force integral to the development of competing modernist paradigms. Though it appears that writers such as Ezra Pound, T.S. Eliot, and Wyndham Lewis deploy …
-
Literature in the age of mathematics: Gender and the multiplicity of modernity
This dissertation investigates mathematics as a multivalent metaphor in twentieth-century fiction and theory and as a powerful cultural force integral to the development of competing modernist paradigms. Though it appears that writers such as Ezra Pound, T.S. Eliot, and Wyndham Lewis deploy …
-
Second-order finite free probability
Finite free probability is a new field lying at the intersection of random matrix theory and non-commutative probability. It is called “finite” because unlike traditional free probability, which takes the perspective of operators on infinite-dimensional vector spaces, finite free probability …
-
Admissible orders on quotients of the free associative algebra
<p>An admissible order on a multiplicative basis of a noncommutative algebra A is a term order satisfying additional conditions that allow for the construction of Grobner bases for A -modules. When A is commutative, a finite reduced Grobner basis for an A -module can always be obtained, but when A …
-
Circuits, Perfect Matchings and Paths in Graphs
We primarily consider the problem of finding a family of circuits to cover a bidgeless graph (mainly on cubic graph) with respect to a given weight function defined on the edge set. The first chapter of this thesis is going to cover all basic concepts and notations will be used and a survey of this …
-
Von Neumann algebras, affiliated operators and representations of the Heisenberg relation
<p>Von Neumann algebras are self-adjoint, strong-operator closed subalgebras (containing the identity operator) of the algebra of all bounded operators on a Hilbert space. Factors are von Neumann algebras whose centers consist of scalar multiples of the identity operator. In this thesis, we study …
-
Schools of Greek Mathematical Practice
… schools with a thorough survey of Greek works of theoretical mathematics; I will outline the schools’ characteristic features and histories, and show how the influences of philosophical movements and intellectual social networks affected their practices. Each of the four chapters addresses the …
-
Ideals and Commutators of Operators
<p>Subideals. A subideal of operators is an ideal of J (called a J-ideal) for J an arbitraryideal of B(H). Necessary and sufficient conditions are determined for a finitely generatedsubideal to be also an ideal of B(H) and then these conditions are exploited to characterizeall finitely generated …
-
New models and methods for classification and feature selection. a mathematical optimization perspective
… that overcome to those existing ones, bridging theoretical Mathematics with real-life problems. The developed works along this thesis have focused on two fundamental methodologies in Data Science: support vector machines (SVM) and Benchmarking. Regarding the first one, the SVM classifier is …
-
Aspects of the (0,2)-McKay Correspondence
<p>We study first order deformations of the tangent sheaf of resolutions of Calabi-Yau threefolds that are of the form $\CC^3/\ZZ_r$, focusing</p><p> on the cases where the orbifold has an isolated singularity. We prove a lower bound on the number </p><p>of deformations of the tangent bundle for …