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Dissertations / Theses on the topic 'Complex Functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Sadykov, Timour. "Hypergeometric functions in several complex variables." Doctoral thesis, Stockholm : Univ, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-198.

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2

Hoffmann, Mark. "Topics in complex analysis and function spaces /." free to MU campus, to others for purchase, 2003. http://wwwlib.umi.com/cr/mo/fullcit?p3091931.

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3

Chaisee, Kuntalee. "Exploring complex loss functions for point estimation." Thesis, University of Bath, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.665424.

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This thesis presents several aspects of simulation-based point estimation in the context of Bayesian decision theory. The first part of the thesis (Chapters 4 - 5) concerns the estimation-then-minimisation (ETM) method as an efficient computational approach to compute simulation-based Bayes estimates. We are interested in applying the ETM method to compute Bayes estimates under some non-standard loss functions. However, for some loss functions, the ETM method cannot be implemented straightforwardly. We examine the ETM method via Taylor approximations and cubic spline interpolations for Bayes e

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4

Cordiner, Ross Andrew Alex. "The cellular functions of the microprocessor complex." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/25877.

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DGCR8 (DiGeorge critical region 8) protein constitutes part of the Microprocessor complex together with Drosha, and is involved in the nuclear phase of microRNA (miRNA) biogenesis. DGCR8 recognises the hairpin RNA substrates of precursor miRNAs through two double-stranded RNA (dsRNA) binding motifs and acts as a molecular anchor to direct Drosha cleavage at the base of the pri-miRNA hairpin. Recent characterisation of the RNA targets of the Microprocessor by HITSCLIP of DGCR8 protein revealed that this complex also binds and regulates the stability of several types of transcripts, including mR

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5

Li, Lun Doyle John Comstock Doyle John Comstock Low Steven H. "Topologies of complex networks : functions and structures /." Diss., Pasadena, Calif. : California Institute of Technology, 2007. http://resolver.caltech.edu/CaltechETD:etd-05282007-223415.

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6

Menolfi, D. "ESSENTIAL POSTREPLICATIVE FUNCTIONS OF THE SMC5/6 COMPLEX." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/264411.

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The structural maintenance of chromosomes (SMC) complex Smc5/6 is based on a heterodimer of two SMC subunits, Smc5 and Smc6, and six non-Smc element subunits, Nse1-6, all of which are essential for cell viability in most organisms. Smc5/6 safeguards genome integrity via different mechanisms, including stabilization of stalled replication forks, resolution of recombination intermediates, and maintenance of nucleolar integrity. However, the essential functions of Smc5/6 remain elusive. The aim of the present work was to understand when in the cell cycle the crucial functions of Smc5/6 are manife

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7

Braun, H. T. F. "Model theory of holomorphic functions." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401108.

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This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the exponential function should be `quasi-minimal'; that is, all its definable subsets should be countable or have countable complement. Our purpose is to study the geometry of this structure and other expansions by holomorphic functions of the complex field without having first to settle any number-theoretic problems, by treating all countable sets on an equal footing. We present axioms, modelled on those for a Zariski geometry, defining a non-first-order class of ``quasi-Zariski'' structures endowed wi

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8

Simmons, David. "Random Iteration of Rational Functions." Thesis, University of North Texas, 2012. https://digital.library.unt.edu/ark:/67531/metadc115157/.

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It is a theorem of Denker and Urbański that if T:ℂ→ℂ is a rational map of degree at least two and if ϕ:ℂ→ℝ is Hölder continuous and satisfies the “thermodynamic expanding” condition P(T,ϕ) > sup(ϕ), then there exists exactly one equilibrium state μ for T and ϕ, and furthermore (ℂ,T,μ) is metrically exact. We extend these results to the case of a holomorphic random dynamical system on ℂ, using the concepts of relative pressure and relative entropy of such a system, and the variational principle of Bogenschütz. Specifically, if (T,Ω,P,θ) is a holomorphic random dynamical system on ℂ and ϕ:Ω→ ℋα(

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9

Mercer, Nathan T. "Quasiconformal mappings in the complex plane." Virtual Press, 2006. http://liblink.bsu.edu/uhtbin/catkey/1348866.

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It is well known that, as a consequence of the Identity Theorem, we cannot "glue" together two analytic functions to create a new globally analytic function. In this paper we will both introduce and investigate special homeomorphisms, called quasiconformal maps, that are generalizations of the well known conformal maps. We will show that quasiconformal maps make this "gluing," up to conjugation, possible. Quasiconformal maps are a valuable tool in the field of complex dynamics. We will see how quasiconformal maps of infinitesimal circles have an image of an infinitesimal ellipse. Although quas

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10

黃永儀 and Wing-yee Simon Wong. "Construction of plurisubharmonic functions on complete Kähler manifolds." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31223709.

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11

Wong, Wing-yee Simon. "Construction of plurisubharmonic functions on complete Kähler manifolds /." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B21827278.

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12

Avelar, Clodoaldo Bevilaqua. "O fascinante mundo dos números complexos." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-16012017-153650/.

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Essa dissertação versa sobre o conjunto dos números complexos e uma breve introdução sobre o Cálculo Diferencial de Funções em uma Variável Complexa. Como proposta didática apresentamos uma atividade que relaciona números complexos e geometria voltada para professores do Ensino Médio.<br>This dissertation asserts on the set of complex numbers and brief introduction on Differential Calculus to one Complex Variable Functions. As didactic proposal we present an activity involving complex numbers and geometry that may be applied to teachers in high school level.

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13

Kucik, Andrzej Stanislaw. "Spaces of analytic functions on the complex half-plane." Thesis, University of Leeds, 2017. http://etheses.whiterose.ac.uk/17573/.

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In this thesis we present certain spaces of analytic functions on the complex half-plane, including the Hardy, the Bergman spaces, and their generalisation: Zen spaces. We use the latter to construct a new type of spaces, which include the Dirichlet and the Hardy-Sobolev spaces. We show that the Laplace transform defines an isometric map from the weighted L^2(0, ∞) spaces into these newly-constructed spaces. These spaces are reproducing kernel Hilbert spaces, and we employ their reproducing kernels to investigate their features. We compare corresponding spaces on the disk and on the half-plane

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14

Lunardon, Nicola. "Pseudo-likelihoods from unbiased estimating functions in complex models." Doctoral thesis, Università degli studi di Padova, 2012. http://hdl.handle.net/11577/3422185.

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The notion of likelihood function plays a central role in classical statistical inference, in particular from a Fisherian perspective, and represents an essential concept for Bayesian inference. Modern high-dimensional data, such as spatial data or complex structured longitudinal data, have generated challenges to the use of likelihood-based methods. These challenges involve both theoretical and computational difficulties that can be encompassed by specifying suitable pseudo-likelihoods, and in particular this thesis focuses on the class of composite likelihood functions. In the present thesi

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15

WANG, KWANG SHANG. "FINITE GROUPS FOR WHICH EVERY COMPLEX REPRESENTATION IS REALIZABLE." Diss., The University of Arizona, 1985. http://hdl.handle.net/10150/188019.

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In Chapter 2 we develop the concept of total orthogonality. A number of necessary conditions are derived. Necessary and sufficient conditions for total orthogonality are obtained for 2-groups and for split extensions of elementary abelian 2-groups. A complete description is given for totally orthogonal groups whose character degrees are bounded by 2. Brauer's problem is reduced for Frobenius groups to the corresponding problems for Frobenius kernels and complements. In Chapter 3 classes of examples are presented illustrating the concepts and results of Chapter 2. It is shown, in particular, th

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16

McKeown, Jesse. "Functional methods in analysis of several complex variables." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=101622.

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17

潘維凱 and Wai-hoi Bobby Poon. "The Kodaira vanishing theorem and generalizations." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B30147736.

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18

Tsang, Chiu-yin, and 曾超賢. "Fatou-Shishikura inequality." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40887777.

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19

Tsang, Chiu-yin. "Fatou-Shishikura inequality." Click to view the E-thesis via HKUTO, 2008. http://sunzi.lib.hku.hk/hkuto/record/B40887777.

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20

Poon, Wai-hoi Bobby. "The Kodaira vanishing theorem and generalizations /." Hong Kong : University of Hong Kong, 2002. http://sunzi.lib.hku.hk/hkuto/record.jsp?B25059282.

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21

Supe, Tushar. "Super - cordic: Low delay cordic architectures for computing complex functions." Thesis, Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54475.

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This thesis proposes an optimized Co-ordinate Rotation Digital Computer (CORDIC) algorithm in the rotation and extended vectoring mode of the circular co-ordinate system. The CORDIC algorithm computes the values of trigonometric functions and their inverses. The proposed algorithm provides the result with a lower overall latency than existing systems. This is done by using redundant representations and approximations of the required direction and angle of each rotation. The algorithm has been designed to provide the result in a fixed number of iterations $n$ for the rotation mode and $3\lceil

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22

Nedic, Mitja. "Integral representations of Herglotz-Nevanlinna functions." Licentiate thesis, Stockholms universitet, Matematiska institutionen, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-138962.

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In this thesis, we study integral representations of Herglotz-Nevanlinna functions, that is to say holomorphic functions defined on a product of several copies of the complex upper half-plane having non-negative imaginary part. The manuscript is divided into three parts, beginning with a general introduction followed by two papers. In the general introduction, we familiarize ourselves with the concept of a Herglotz-Nevanlinna function as well as providing a comprehensive introduction into the theory of integral representations for this particular class of functions. Paper I treats exclusively

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23

Palau, de Miguel Anna. "Polycomb Repressive Complex 1 functions in differentiation and myelodysplastic syndromes." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/400293.

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Polycomb proteins are important epigenetic regulators involved in the maintenance of stemness and differentiation. In this thesis, I focused on the role of some Polycomb Repressive Complex 1 (PRC1) components. On the one hand, I studied the role of Cbx8 PRC1 component protein in the differentiation of mouse embryonic stem cells (mESCs). On the other hand, I analyzed the role of PRC1 components in a hematological disease-related context which implies a defect in differentiation, the myelodysplastic syndrome (MDS). Specifically, I focused on RING1A PRC1-component function in this disease.

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24

Pinchuk, N. "Lawyer's analytical functions in the complex of ecological economic monitoring." Thesis, Видавництво СумДУ, 2011. http://essuir.sumdu.edu.ua/handle/123456789/10184.

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25

Volkova, Katerina. "Economist's analytical functions in the complex of ecological economic monitoring." Thesis, Видавництво СумДУ, 2011. http://essuir.sumdu.edu.ua/handle/123456789/10325.

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26

Falco, Benavent Francisco Javier. "Complex approximation and fibers of Banach algebras of analytic functions." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1478016863252231.

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27

Mitsutake, Ayori, and Yuko Okamoto. "Multidimensional generalized-ensemble algorithms for complex systems." American Institite of Physics, 2009. http://hdl.handle.net/2237/12622.

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28

Green, Catherine Mary. "The Rad24 checkpoint protein of Saccharomyces cerevisiae : a complex problem." Thesis, University College London (University of London), 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.342218.

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29

Mernik, Luka. "Positivity Conditions in Several Complex Variables." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586522855649564.

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30

Utreras, Alarcon Javier Antonio. "Model theory of holomorphic functions in an o-minimal setting." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/model-theory-of-holomorphic-functions-in-an-ominimal-setting(a1ff9ed8-d7dd-4c56-91ad-581eca7c7989).html.

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Given an o-minimal structure on the real field, we consider an elementary extension to a non-archimedean field R, and interpret the algebraically closed field K=R[sqrt(-1)] on this extension. We construct two pregeometries on K: one by considering images under C-definable holomorphic functions, and the other by considering images under proper restrictions of C-definable holomorphic functions together with algebraic functions (i.e. zeros of polynomials).We show that these two pregeometries are the same, generalising a result of A. Wilkie for complex holomorphic functions. We also do some work t

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31

Малютіна, Т. І., Ірина Іванівна Козлова, Ирина Ивановна Козлова, and Iryna Ivanivna Kozlova. "Canonical functions of gamma-admissible measures in half-plane." Thesis, Ivan Franko National University of Lviv, 2013. http://essuir.sumdu.edu.ua/handle/123456789/50816.

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32

Faoro, Camilla. "The Signal Recognition Particle: noncanonical functions and drug discovery." Thesis, The University of Sydney, 2018. http://hdl.handle.net/2123/20168.

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The Signal Recognition Particle (SRP) is an essential ribonucleoprotein complex responsible for co-translational delivery of membrane and secretory proteins to the plasma membrane in prokaryotes and to the endoplasmic reticulum in eukaryotes. In Eubacteria, SRP consists of the GTPase Ffh and the small 4.5S RNA; in eukaryotes, the system is more complex and SRP comprises six proteins (the heterodimer SRP 9/14, SRP 19, SRP 54, and the heterodimer SRP 68/72) along with a large RNA moiety, the 7SL RNA. SRP has been reported to be involved in many cellular processes outside the SRP-targeting cycle.

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33

Silva, Marcos Afonso da. "Análise complexa e aplicações /." Rio Claro, 2018. http://hdl.handle.net/11449/153862.

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Orientador: Suzete Maria Silva Afonso<br>Banca: Eliris Cristina Rizziolli<br>Banca: Luciane Parron Gimenes Arantes<br>Resumo: O objetivo principal deste trabalho é desenvolver um estudo introdutório, porém detalhado, sobre Análise Complexa e algumas de suas aplicações. Apresentamos o corpo dos números complexos, exploramos as funções complexas de uma variável complexa, exibimos parte da teoria das funções analíticas e parte da teoria de integração complexa. Provamos importantes resultados, tais como o Teorema de Cauchy, o Teorema de Taylor, o Teorema dos Resíduos, entre outros igualmente relev

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34

Heath, Helen Elizabeth. "CTCF: comprehending.the complex functions of an 11-zinc-finger transcription factor." [S.l.] : Rotterdam : [The Author] ; Erasmus University [Host], 2007. http://hdl.handle.net/1765/10861.

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35

Garner, William Howard. "Iteration of the power operation." Virtual Press, 1995. http://liblink.bsu.edu/uhtbin/catkey/941367.

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This thesis is an investigation of the sequence of functions defined by fl (x) -xand fn+1 (x) -x , where the power is the principal value.In the case where the sequence is restricted to positive real this sequence of functions over thecomplex plane, we attack real numbers, the problem yields to the methods of analysis and we prove the behavior of the sequence.The more general problem of describing the behavior of both analytically and numerically. Though no full rigorous solution is given, the results presented suggest the behavior of the sequence over the complex plane is very interesting.<br

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36

Bubin, Sergiy, Monika Stanke, and Ludwik Adamowicz. "Relativistic corrections for non-Born-Oppenheimer molecular wave functions expanded in terms of complex explicitly correlated Gaussian functions." AMER PHYSICAL SOC, 2017. http://hdl.handle.net/10150/624941.

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In our previous work S. Bubin et al., Chem. Phys. Lett. 647, 122 (2016), it was established that complex explicitly correlated one-center all-particle Gaussian functions (CECGs) provide effective basis functions for very accurate nonrelativistic molecular non-Born-Oppenheimer calculations. In this work, we advance the molecular CECGs approach further by deriving and implementing algorithms for calculating the leading relativistic corrections within this approach. The algorithms are tested in the calculations of the corrections for all 23 bound pure vibrational states of the HD+ ion.

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37

Ravisankar, Sivaguru. "Lipschitz Properties of Harmonic and Holomorphic Functions." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1308299030.

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38

Hed, Lisa. "Approximation and Subextension of Negative Plurisubharmonic Functions." Licentiate thesis, Umeå : Department of Mathematics and Mathematical Statistics, Umeå University, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-1799.

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39

Balestrini, Robinson Santiago. "A modeling process to understand complex system architectures." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29621.

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Thesis (Ph.D)--Aerospace Engineering, Georgia Institute of Technology, 2010.<br>Committee Chair: Mavris, Dimitri; Committee Member: Bishop, Carlee; Committee Member: German, Brian; Committee Member: Nixon, Janel; Committee Member: Schrage, Daniel. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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40

Guo, Yunbo. "Multi-population genetic algorithm for the mapping of landscape of complex function /." View abstract or full-text, 2009. http://library.ust.hk/cgi/db/thesis.pl?PHYS%202009%20GUO.

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41

Ma, Lina. "Investigation of the functions of the NDC80 kinetochore complex in budding yeast." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/29565.

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Kinetochores are multi protein complexes comprised of inner kinetochore proteins that assemble on centromeric DNA sequences and outer kinetochore proteins that bind to microtubules. Kinetochores are responsible for accurate transmission of genetic information during each cell division. In the budding yeast Saccharomyces cerevisiae, the highly conserved Ndc80 kinetochore complex has been well characterized in terms of its roles in chromosome-microtubule attachment and spindle checkpoint. The work presented in this thesis suggests that the Ndc80 complex has additional cellular roles. The kinetoc

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42

Suk, Tonghoon. "Rings of regular functions on spherical nilpotent orbits for complex classical groups." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/54664.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 16).<br>Let G be a classical group and let g be its Lie algebra. For a nilpotent element X E g, the ring R(Ox) of regular functions on the nilpotent orbit Ox is a G-module. In this thesis, we will decompose it into irreducible representations of G for some spherical nilpotent orbits.<br>by Tonghoon Suk.<br>S.M.

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43

MARSELLA, ANTONIO. "Functions and regulation of the MRX complex at DNA double strand breaks." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2021. http://hdl.handle.net/10281/310478.

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Le rotture del doppio filamento del DNA (DSB) sono tra le lesioni del DNA le più gravi. Se non adeguatamente riparati, i DSB potrebbero portare alla perdita di informazioni genetiche e all'instabilità del genoma, che è uno dei tratti distintivi delle cellule tumorali. Le cellule eucariotiche riparano i DSB mediante il non-homologous end joining (NHEJ), che ricongiunge direttamente le estremità rotte del DNA e la ricombinazione omologa (HR), che utilizza la sequenza di DNA omologa per riparare il DSB. L'HR richiede una degradazione nucleolitica delle estremità, in un processo chiamato resection

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44

Chan, Shu-fai. "Variations and uniform compactificatfons of fibers on Stein spaces." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B38324301.

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45

Chan, Shu-fai, and 陳澍輝. "Variations and uniform compactifications of fibers on Stein spaces." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B38324301.

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46

Monzon, Larissa Weyh. "Números complexos e funções de variável complexa no ensino médio : uma proposta didática com uso de objeto de aprendizagem." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2012. http://hdl.handle.net/10183/56236.

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A presente dissertação tem como propósito apresentar uma proposta didática para o ensino de números complexos e funções de variável complexa, fazendo uso de um objeto de aprendizagem. Para o embasamento teórico, quanto ao processo de construção de conhecimento, referenciamos Vygotsky e Piaget. Também foi feita uma análise das tecnologias como ferramenta para o ensino e, em especial quanto às possibilidades que dizem respeito aos registros dinâmicos de representação semiótica. A metodologia para conceber, realizar e analisar a proposta didática é a Engenharia Didática. Essa metodologia permitiu

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47

Aspenberg, Magnus. "The Collet-Eckmann condition for rational functions on the Riemann sphere." Doctoral thesis, KTH, Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3788.

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48

Cheng, Jiuyi. "Two problems in function theory of one complex variable: local properties of solutions of second-order differential equations and number of deficient functions of some entire functions." Diss., Virginia Tech, 1994. http://hdl.handle.net/10919/38553.

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49

Levi, Matteo. "Fine boundary properties in complex analysis and discrete potential theory." Doctoral thesis, Universitat Autònoma de Barcelona, 2019. http://hdl.handle.net/10803/669408.

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In this thesis we study some fine properties of sets in the boundary of continuous and discrete metric spaces. On the discrete side, we consider a Potential Theory on infinite trees. Using probabilistic methods, we derive a description of the set of irregular points for the Dirichlet problem on the tree. In particular, we obtain a Wiener's type test and we show that the set of irregular points has zero capacity. We also discuss some uniqueness results for the solution of the Dirichlet problem in some energy spaces. Then, we provide an equilibrium equation characterizing measures that rea

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50

Saracco, Alberto. "Extension problems in complex and CR-geometry." Doctoral thesis, Scuola Normale Superiore, 2007. http://hdl.handle.net/11384/85679.

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[Excerpt from the introduction]: The aim of this thesis work is to present some of the many different extension problems that were considered in complex and CR-geometry, starting from well-known classical ones, up to the very recent still unpublished results and to the still open problems. This is going to be a (partial, since the subject is so broad) survey on the extension problems. There is neither presumption of completeness, nor a judgement on the importance of the arguments chosen, since the choice of the arguments treaten, a very personal one, simply arose from my interests of re

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