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Dissertations / Theses on the topic 'Regular polynomial'

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1

Moreira, Joel Moreira. "Partition regular polynomial patterns in commutative semigroups." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1467131194.

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2

Molina, Aristizabal Sergio D. "Semi-Regular Sequences over F2." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1445342810.

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3

Colleaux, Aimeric. "Regular black hole and cosmological spacetimes in Non-Polynomial Gravity theories." Doctoral thesis, Università degli studi di Trento, 2019. https://hdl.handle.net/11572/369192.

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General Relativity is known to suffer from singularities at short distances, which indicates the breakdown of its predictability, for instance at the center of black holes, and in the very early universe. This is one of the main reason to look for a Quantum Theory of Gravity, that would describe spacetime geometry as a quantum field, and possibly cure these classical singularities. However, no consensus on the topic has yet been reached, as many different approaches have been proposed, but none has yet received an experimental confirmation. This is in part due to the extraordinary small scale
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4

Colleaux, Aimeric. "Regular black hole and cosmological spacetimes in Non-Polynomial Gravity theories." Doctoral thesis, University of Trento, 2019. http://eprints-phd.biblio.unitn.it/3752/1/ThesisFinalVersion.pdf.

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General Relativity is known to suffer from singularities at short distances, which indicates the breakdown of its predictability, for instance at the center of black holes, and in the very early universe. This is one of the main reason to look for a Quantum Theory of Gravity, that would describe spacetime geometry as a quantum field, and possibly cure these classical singularities. However, no consensus on the topic has yet been reached, as many different approaches have been proposed, but none has yet received an experimental confirmation. This is in part due to the extraordinary small scale
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5

Mehrabdollahei, Mahya. "La mesure de Mahler d’une famille de polynômes exacts." Thesis, Sorbonne université, 2022. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2022SORUS170.pdf.

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Dans cette thèse, nous étudions la suite de mesures de Mahler d’une famille de polynômes à deux variables exacts et réguliers, que nous notons Pd := P0≤i+j≤d xiyj . Elle n’est bornée ni en volume, ni en genre de la courbe algébrique sous-jacente. Nous obtenons une expression pour la mesure de Mahler de Pd comme somme finie de valeurs spéciales du dilogarithme de Bloch-Wigner. Nous utilisons SageMath pour approximer m(Pd) pour 1 ≤ d ≤ 1000. En recourant à trois méthodes différentes, nous prouvons que la limite de la suite de mesures de Mahler de cette famille converge vers 92π2 ζ(3). De plus, n
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6

Lopes, Aislan Sirino. "CritÃrio para a construtibilidade de polÃgonos regulares por rÃgua e compasso e nÃmeros construtÃveis." Universidade Federal do CearÃ, 2014. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=12590.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Este trabalho aborda construÃÃes geomÃtricas elementares e de polÃgonos regulares realizadas com rÃgua nÃo graduada e compasso respeitando as regras ou operaÃÃes elementares usadas na Antiguidade pelos gregos. Tais construÃÃes serÃo inicialmente tratadas de uma forma puramente geomÃtrica e, a fim de encontrar um critÃrio que possa determinar a possibilidade de construÃÃo de polÃgonos regulares, passarÃo a ser discutidas por um viÃs algÃbrico. Este tratamento algÃbrico evidenciarà uma relaÃÃo entre a geometria e a Ãlgebra, em especi
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7

Cruz, Carla Maria. "Numerical and combinatorial applications of generalized Appell polynomials." Doctoral thesis, Universidade de Aveiro, 2014. http://hdl.handle.net/10773/13962.

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Doutoramento em Matemática<br>This thesis studies properties and applications of different generalized Appell polynomials in the framework of Clifford analysis. As an example of 3D-quasi-conformal mappings realized by generalized Appell polynomials, an analogue of the complex Joukowski transformation of order two is introduced. The consideration of a Pascal n-simplex with hypercomplex entries allows stressing the combinatorial relevance of hypercomplex Appell polynomials. The concept of totally regular variables and its relation to generalized Appell polynomials leads to the constructi
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8

Szumowicz, Anna Maria. "Regular representations of GLn( O) and the inertial Langlands correspondence." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS360.

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Cette thèse contient deux parties. La première porte sur la théorie des représentations des groupes p-adiques. Le but est de trouver de nouvelles informations et de nouveaux invariants des types cuspidaux de groupes linéaires généraux. Soit F un corps local non archimédien et soit OF son anneau des entiers. Nous décrivons les types cuspidaux sur GLp(OF ) (où p est un nombre premier) en termes d’orbites. Nous déterminons quels types cuspidaux sont réguliers et donnons un exemple qui montre que l’orbite de la représentation ne suffit pas à déterminer si la représentation est un type cuspidal ou
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9

Alici, Haydar. "A General Pseudospectral Formulation Of A Class Of Sturm-liouville Systems." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612435/index.pdf.

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In this thesis, a general pseudospectral formulation for a class of Sturm-Liouville eigenvalue problems is consructed. It is shown that almost all, regular or singular, Sturm-Liouville eigenvalue problems in the Schr&ouml<br>dinger form may be transformed into a more tractable form. This tractable form will be called here a weighted equation of hypergeometric type with a perturbation (WEHTP) since the non-weighted and unperturbed part of it is known as the equation of hypergeometric type (EHT). It is well known that the EHT has polynomial solutions which form a basis for the Hilbert space of s
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10

Lang, Stanislav. "Řešení spojitých systémů evolučními výpočetními technikami." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2018. http://www.nusl.cz/ntk/nusl-371772.

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The thesis deals the issue of solution of continuous systems by evolutionary computational techniques. Evolutionary computing techniques fall into the field of softcomputing, an advanced metaheuristics optimization that is becoming more and more a method of solving complicated optimization problems with the gradual increase in computing performance of computers. The solution of continuous systems, or the synthesis of continuous control circuits, is one of the areas where these advanced algorithms find their application. When dealing with continuous systems we will focus on regulatory issues. E
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11

Kratz, Marie. "Some contributions in probability and statistics of extremes." Habilitation à diriger des recherches, Université Panthéon-Sorbonne - Paris I, 2005. http://tel.archives-ouvertes.fr/tel-00239329.

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12

PENG, CHIEN-NAN, and 彭健男. "Multilinear Polynomials with Regular or Nilpotent Values." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/28442073956068464235.

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13

Scheibelhut, Kira. "Polynomials that are Integer-Valued on the Fibonacci Numbers." 2013. http://hdl.handle.net/10222/35316.

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An integer-valued polynomial is a polynomial with rational coefficients that takes an integer value when evaluated at an integer. The binomial polynomials form a regular basis for the Z-module of all integer-valued polynomials. Using the idea of a p-ordering and a p-sequence, Bhargava describes a similar characterization for polynomials that are integer-valued on some subset of the integers. This thesis focuses on characterizing the polynomials that are integer-valued on the Fibonacci numbers. For a certain class of primes p, we give a formula for the p-sequence of the Fibonacci numbers and an
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14

Roy, Subham. "Generalized Mahler measure of a family of polynomials." Thèse, 2019. http://hdl.handle.net/1866/23797.

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Le présent mémoire traite une variation de la mesure de Mahler où l'intégrale de définition est réalisée sur un tore plus général. Notre travail est basé sur une famille de polynômes tempérée originellement étudiée par Boyd, P_k (x, y) = x + 1/x + y + 1/y + k avec k ∈ R_{>4}. Pour le k = 4 cas, nous utilisons des valeurs spéciales du dilogarithme de Bloch-Wigner pour obtenir la mesure de Mahler de P_4 sur un tore arbitraire (T_ {a, b})^2 = {(x, y) ∈ C* X C* : | x | = a, | y | = b } avec a, b ∈ R_{> 0}. Ensuite, nous établissons une relation entre la mesure de Mahler de P_8 sur un tore (T_ {a,
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15

Giard, Antoine. "La mesure de Mahler d’une forme de Weierstrass." Thèse, 2019. http://hdl.handle.net/1866/22549.

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