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.
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Showing 1 to 20 of 96 for “"Complex Analysis"”.
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Complex Analysis on Planar Cell Complexes
… is an examination of the theory of discrete complex analysis that arises from the framework of a planar cell complex. Construction of this theory is largely integration-based. A combination of two cell complexes, the double and its associated diamond complex, allows for the development of a …
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A Study in Complex Analysis of One Variable
No abstract prepared.
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Interpolation of Functions by Integer Points In Complex Analysis
… others provide a unique solution on the whole complex plane. In this thesis we shall concentrate on three such theorems.</p>
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Topological Approaches to Chromatic Number and Box Complex Analysis of Partition Graphs
… S4 with non-trivial homology in the box complex of the partition graph P(33), namely Bedge(︁P(33))︁, and applying the Borsuk-Ulam theorem to compute its Z2-index. This provides a robust topological lower bound for the chromatic number of P(33), termed the Lovász bound. We have verified …
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Some Inequalities Concerning Power Series and Their Interaction With Univalent Function Theory
… Theory. In fact, they constitute a major part in Complex Analysis. The purpose of this dissertation is to employ analytic functions defined by power series in two different directions. The first of these discussed in Part I, mainly contributes to Analytic Inequalities in Real and Complex Analysis, …
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Operators on singular manifolds
We study the interplay between analysis on manifolds with singularities and complex analysis and develop new structures of operators based on the Mellin transform and tools for iterating the calculus for higher singularities. We refer to the idea of interpreting boundary value problems (BVPs) in …
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LA PARTITA DEGLI SPALTI. RELAZIONI TRA TIFOSERIE E CRIMINALITA' ORGANIZZATA NEL CALCIO MODERNO.
… topics covered in the thesis, which attempts a complex analysis of the world of stadiums, fans, and organized groups in the stands, the interconnections between these actors and social phenomena, and the broader urban context in which sporting events and fan activities take place.
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A generalization of the Beurling-Hedenmalm uncertainty principle
… uncertainty principle first in R using complex analysis. Then we generalise to R^n using various techniques. Also we illustrate connections with the classical moment problem.
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Poncelet polygons through the lenses of orthogonal polynomials on the unit circle, finite Blaschke products, and numerical ranges.
… fall in the intersection of projective geometry, complex analysis, and linear algebra. Each of these three fields gives a canonical construc-tion of families of polygons inscribed in the unit circle with interlacing vertices. In projective geometry, we consider Poncelet curves which admit a family …
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Sobre a teoria de regularidade elíptica via análise da equação de Helmholtz em RN
… as basic results of Measure and Integration, Complex Analysis, Functional Analysis and the Theory of Sobolev Spaces.
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Digital Regulation Contested: Regulatory Approaches of the US, the EU, and China to Cross-Border Personal Data Transfers
… on international relation scholarship on regime complex analysis, this article explores the development of the US, the EU, and China's regulatory approach to govern cross-border flows of personal data.
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Digital Regulation Contested: Regulatory Approaches of the US, the EU, and China to Cross-Border Personal Data Transfers
… on international relation scholarship on regime complex analysis, this article explores the development of the US, the EU, and China's regulatory approach to govern cross-border flows of personal data.
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Observations on Convexity
… will explore convexity as it pertains to sets of complex-valued functions. These include preliminary looks at established linear and polynomially convex hulls, along with the development of new types of convex hulls. These types will include, but are not limited to the hulls determined by …
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AN EXPOSITION OF THE RIEMANN ZETA FUNCTION
This thesis is an exposition of the Riemann zeta function. Included are techniques of analytic continuation and relationships to special functions. Some generalizations of the Riemann zeta function are outlined, as well as the calculation of zeta constants and the development of some identities. …
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The prime number theorem: Analytic and elementary proofs
… is elementary in the sense that it involves no complex analysis. Instead, mainly number-theoretic results are used, in particular, Selberg's formulas. The third proof, like the �rst, relies heavily on the Riemann zeta function, but is considerably shorter for the use of the Laplace transform and …
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Noncommutative Kernels
… have played a key role in the development of complex analysis and Hilbert-space operator theory, and they have recently been extended to the setting of free noncommutative function theory. In this paper, we develop the subject further in a number of directions. We give a characterization of …
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On Connections Between Univalent Harmonic Functions, Symmetry Groups, and Minimal Surfaces
… topics in elementary differential geometry and complex analysis to build up the necessary theory for studying applications of univalent harmonic function theory to minimal surfaces. We then proceed to consider convex combination harmonic mappings of the form f=sf_1+(1-s) f_2 and give conditions …
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Exploring the Mandelbrot Set
… be-<br />tween holomorphic dynamics and complex analysis, the Mandelbrot set showcases<br />its usefulness in fields across the many realms of math—ranging from physics to nu-<br />merical methods and even biology. While typically defined in terms of its bounded<br />sequences, this …
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Polynomial-Based Methods for Time-Integration
… Our approach is to combine ideas from complex analysis and approximation theory to construct new integrators. This strategy allows us to trivially satisfy order conditions and easily construct a range of implicit or explicit integrators with properties such as parallelism and high-order …
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Interactive exploration and model analysis for coreference annotation
… functionality to compare several annotations. Complex analysis of annotated corpora is supported by means of a search engine which lets the user construct queries both in a graphical and textual form. Both qualitative and quantitative result breakdowns are available and the implementation …
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