Academic literature on the topic 'Regular polynomial'
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Journal articles on the topic "Regular polynomial"
Merikoski, Jorma K. "Regular polygons, Morgan-Voyce polynomials, and Chebyshev polynomials." Notes on Number Theory and Discrete Mathematics 27, no. 2 (June 2021): 79–87. http://dx.doi.org/10.7546/nntdm.2021.27.2.79-87.
Full textLee, Jae-Ho. "Nonsymmetric Askey–Wilson polynomials and Q -polynomial distance-regular graphs." Journal of Combinatorial Theory, Series A 147 (April 2017): 75–118. http://dx.doi.org/10.1016/j.jcta.2016.11.006.
Full textCarballosa, Walter, José M. Rodríguez, José M. Sigarreta, and Yadira Torres-Nuñez. "Alliance polynomial of regular graphs." Discrete Applied Mathematics 225 (July 2017): 22–32. http://dx.doi.org/10.1016/j.dam.2017.03.016.
Full textMeleshkin, A. V. "Regular semigroups of polynomial growth." Mathematical Notes of the Academy of Sciences of the USSR 47, no. 2 (February 1990): 152–58. http://dx.doi.org/10.1007/bf01156824.
Full textBerthomieu, Jérémy, Jean-Charles Faugère, and Ludovic Perret. "Polynomial-time algorithms for quadratic isomorphism of polynomials: The regular case." Journal of Complexity 31, no. 4 (August 2015): 590–616. http://dx.doi.org/10.1016/j.jco.2015.04.001.
Full textDickie, Garth A. "Twice Q-Polynomial Distance-Regular Graphs." Journal of Combinatorial Theory, Series B 68, no. 1 (September 1996): 161–66. http://dx.doi.org/10.1006/jctb.1996.0061.
Full textGolasiński, Marek, and Francisco Gómez Ruiz. "Polynomial and Regular Maps into Grassmannians." K-Theory 26, no. 1 (May 2002): 51–68. http://dx.doi.org/10.1023/a:1016305323458.
Full textCaughman IV, John S. "Bipartite Q -Polynomial Distance-Regular Graphs." Graphs and Combinatorics 20, no. 1 (March 1, 2004): 47–57. http://dx.doi.org/10.1007/s00373-003-0538-8.
Full textGaletto, Federico, Anthony Vito Geramita, and David Louis Wehlau. "Degrees of Regular Sequences With a Symmetric Group Action." Canadian Journal of Mathematics 71, no. 03 (January 7, 2019): 557–78. http://dx.doi.org/10.4153/cjm-2017-035-3.
Full textBirget, J. C. "Semigroups and one-way functions." International Journal of Algebra and Computation 25, no. 01n02 (February 2015): 3–36. http://dx.doi.org/10.1142/s0218196715400019.
Full textDissertations / Theses on the topic "Regular polynomial"
Moreira, Joel Moreira. "Partition regular polynomial patterns in commutative semigroups." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1467131194.
Full textMolina, Aristizabal Sergio D. "Semi-Regular Sequences over F2." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1445342810.
Full textMehrabdollahei, 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.
Full textIn this thesis we investigate the sequence of Mahler measures of a family of bivariate regular exact polynomials, called Pd := P0≤i+j≤d xiyj , unbounded in both degree and the genus of the algebraic curve. We obtain a closed formula for the Mahler measure of Pd in termsof special values of the Bloch–Wigner dilogarithm. We approximate m(Pd), for 1 ≤ d ≤ 1000,with arbitrary precision using SageMath. Using 3 different methods we prove that the limitof the sequence of the Mahler measure of this family converges to 92π2 ζ(3). Moreover, we compute the asymptotic expansion of the Mahler measure of Pd which implies that the rate of the convergence is O(log dd2 ). We also prove a generalization of the theorem of the Boyd-Lawton which asserts that the multivariate Mahler measures can be approximated using the lower dimensional Mahler measures. Finally, we prove that the Mahler measure of Pd, for arbitrary d can be written as a linear combination of L-functions associated with an odd primitive Dirichlet character. In addition, we compute explicitly the representation of the Mahler measure of Pd in terms of L-functions, for 1 ≤ d ≤ 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.
Full textEste 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 especial, a relaÃÃo entre os vÃrtices de um polÃgono regular e as raÃzes de polinÃmios de uma variÃvel com coeficientes racionais. Este tratamento algÃbrico nos levarà naturalmente ao conceito de construtibilidade de nÃmeros e pontos no plano de um corpo, o que exigirà o uso de extensÃes algÃbricas de corpos, e os critÃrios para a construtibi- lidade destes nos levarà a um critÃrio de construtibilidade dos polÃgonos pretendidos.
This work discusses basic geometric constructions and constructions of regular polygons with ruler and compass made respecting the rules or elementary operations used by the ancient Greeks. Such constructs are initially treated in a purely geometric form and, in order to find a criterion that can determine the possibility of construction of regular polygons, will be discussed by an algebraic bias. This algebraic treatment will show a relationship between geometry and algebra, in particular, the relationship between the vertices of a regular polygon and the roots of polynomials in a variable with rational coefficients. This algebraic treatment leads us naturally to the concept of constructibility of numbers and points in a field, which will require the use of algebraic field extensions, and the criteria for the constructibility of these leads to a criterion for constructibility of polygons.
Cruz, Carla Maria. "Numerical and combinatorial applications of generalized Appell polynomials." Doctoral thesis, Universidade de Aveiro, 2014. http://hdl.handle.net/10773/13962.
Full textThis 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 construction of new bases for the space of homogeneous holomorphic polynomials whose elements are all isomorphic to the integer powers of the complex variable. For this reason, such polynomials are called pseudo-complex powers (PCP). Different variants of them are subject of a detailed investigation. Special attention is paid to the numerical aspects of PCP. An efficient algorithm based on complex arithmetic is proposed for their implementation. In this context a brief survey on numerical methods for inverting Vandermonde matrices is presented and a modified algorithm is proposed which illustrates advantages of a special type of PCP. Finally, combinatorial applications of generalized Appell polynomials are emphasized. The explicit expression of the coefficients of a particular type of Appell polynomials and their relation to a Pascal simplex with hypercomplex entries are derived. The comparison of two types of 3D Appell polynomials leads to the detection of new trigonometric summation formulas and combinatorial identities of Riordan-Sofo type characterized by their expression in terms of central binomial coefficients.
Esta tese estuda propriedades e aplicações de diferentes polinómios de Appell generalizados no contexto da análise de Clifford. Exemplificando uma transformação realizada por polinómios de Appell generalizados, é introduzida uma transformação análoga à transformação de Joukowski complexa de ordem dois. A análise de um n- simplex de Pascal com entradas hipercomplexas permite sublinhar a relevância combinatória de polinómios hipercomplexos de Appell. O conceito de variáveis totalmente regulares e a sua relação com polinómios de Appell generalizados conduz à construção de novas bases para o espaço dos polinómios homogéneos holomorfos cujos elementos são todos isomorfos às potências inteiras da variável complexa. Por este motivo, tais polinómios são chamados de potências pseudo-complexas (PCP). Diferentes variantes de PCP são objeto de uma investigação detalhada. É dada especial atenção aos aspectos numéricos de PCP. Um algoritmo eficiente baseado em aritmética complexa é proposto para a sua implementação. Neste contexto, é apresentado um breve resumo de métodos numéricos para inverter matrizes de Vandermonde e é proposto um algoritmo modificado para ilustrar as vantagens de um tipo especial de PCP. Finalmente, são enfatizadas aplicações combinatórias de polinómios de Appell generalizados. A expressão explícita dos coeficientes de um tipo particular de polinómios de Appell e a sua relação com um simplex de Pascal com entradas hipercomplexas são obtidas. A comparação de dois tipos de polinómios de Appell tridimensionais leva à deteção de novas fórmulas envolvendo somas trigonométricas e de identidades combinatórias do tipo de Riordan – Sofo, caracterizadas pela sua expressão em termos de coeficientes binomiais centrais.
Szumowicz, Anna Maria. "Regular representations of GLn( O) and the inertial Langlands correspondence." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS360.
Full textThis thesis is divided into two parts. The first one comes from the representation theory of reductive p-adic groups. The main motivation behind this part of the thesis is to find new explicit information and invariants of the types in general linear groups. Let F be a nonArchimedean local field and let OF be its ring of integers. We give an explicit description of cuspidal types on GLp(OF ), with p prime, in terms of orbits. We determine which of them are regular representations and we provide an example which shows that an orbit of a representation does not always determine whether it is a cuspidal type or not. At the same time we prove that a cuspidal type for a representation π of GLp(F) is regular if and only if the normalised level of π is equal to m or m − 1 p for m ∈ Z. The second part of the thesis comes from the theory of integer-valued polynomials and simultaneous p-orderings. This is a joint work with Mikołaj Frączyk. The notion of simultaneous p-ordering was introduced by Bhargava in his early work on integer-valued polynomials. Let k be a number field and let Ok be its ring of integers. Roughly speaking a simultaneous p-ordering is a sequence of elements from Ok which is equidistributed modulo every power of every prime ideal in Ok as well as possible. Bhargava asked which subsets of Dedekind domains admit simultaneous p-ordering. Together with Mikołaj Frączyk we proved that the only number field k with Ok admitting a simultaneous p-ordering is Q
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.
Full textdinger 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 square integrable functions. Pseudospectral methods based on this natural expansion basis are constructed to approximate the eigenvalues of WEHTP, and hence the energy eigenvalues of the Schrö
dinger equation. Exemplary computations are performed to support the convergence numerically.
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.
Full textKratz, 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.
Full textPENG, CHIEN-NAN, and 彭健男. "Multilinear Polynomials with Regular or Nilpotent Values." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/28442073956068464235.
Full textBooks on the topic "Regular polynomial"
Completeness of root functions of regular differential operators. Essex, England: Longman Scientific & Technical, 1994.
Find full textSheehan, Daniel Dean. Interpolating a regular grid of elevations from random points using three algorithms: Kriging, splines, and polynomial surfaces. 1987.
Find full textAlgebraic And Combinatorial Aspects Of Tropical Geometry Ciem Workshop On Tropical Geometry December 1216 2011 International Center For Mathematical Meetings Castro Urdiales Spain. American Mathematical Society, 2013.
Find full textBook chapters on the topic "Regular polynomial"
Brouwer, Andries E., Arjeh M. Cohen, and Arnold Neumaier. "Q-polynomial Distance-Regular Graphs." In Distance-Regular Graphs, 235–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74341-2_8.
Full textPiponi, Dan, and Brent A. Yorgey. "Polynomial Functors Constrained by Regular Expressions." In Lecture Notes in Computer Science, 113–36. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19797-5_6.
Full textSzilard, Andrew, Sheng Yu, Kaizhong Zhang, and Jeffrey Shallit. "Characterizing regular languages with polynomial densities." In Mathematical Foundations of Computer Science 1992, 494–503. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/3-540-55808-x_48.
Full textKlíma, Ondřej, and Libor Polák. "Polynomial Operators on Classes of Regular Languages." In Algebraic Informatics, 260–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03564-7_17.
Full textMortini, Raymond, and Rudolf Rupp. "Polynomial, Noetherian, and von Neumann regular rings." In Extension Problems and Stable Ranks, 1153–94. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73872-3_22.
Full textSalahi, Maziar, and Tamás Terlaky. "Self-Regular Interior-Point Methods for Semidefinite Optimization." In Handbook on Semidefinite, Conic and Polynomial Optimization, 437–54. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-0769-0_15.
Full textBochnak, Jacek, Michel Coste, and Marie-Françoise Roy. "Polynomial or Regular Mappings with Values in Spheres." In Real Algebraic Geometry, 339–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03718-8_14.
Full textWeispfenning, Volker. "Gröbner bases for polynomial ideals over commutative regular rings." In Lecture Notes in Computer Science, 336–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51517-8_137.
Full textCase, John, Sanjay Jain, Rüdiger Reischuk, Frank Stephan, and Thomas Zeugmann. "Learning a Subclass of Regular Patterns in Polynomial Time." In Lecture Notes in Computer Science, 234–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39624-6_19.
Full textAngluin, Dana, Timos Antonopoulos, Dana Fisman, and Nevin George. "Representing Regular Languages of Infinite Words Using Mod 2 Multiplicity Automata." In Lecture Notes in Computer Science, 1–20. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-99253-8_1.
Full textConference papers on the topic "Regular polynomial"
LI, YONG-BIN, JING-ZHONG ZHANG, and LU YANG. "DECOMPOSING POLYNOMIAL SYSTEMS INTO STRONG REGULAR SETS." In Proceedings of the First International Congress of Mathematical Software. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777171_0038.
Full textKayal, Neeraj, Chandan Saha, and Ramprasad Saptharishi. "A super-polynomial lower bound for regular arithmetic formulas." In STOC '14: Symposium on Theory of Computing. New York, NY, USA: ACM, 2014. http://dx.doi.org/10.1145/2591796.2591847.
Full textPugh, A. C., M. Hou, and G. E. Hayton. "Input-output equivalent representation of non-regular polynomial matrix descriptions." In Proceedings of 16th American CONTROL Conference. IEEE, 1997. http://dx.doi.org/10.1109/acc.1997.610890.
Full textGalindo, R., and A. Herrera. "Dynamic and robust regular I/O decoupling: A polynomial approach." In 1999 European Control Conference (ECC). IEEE, 1999. http://dx.doi.org/10.23919/ecc.1999.7099522.
Full textZhang, Liping, and Guoshan Zhang. "The State Response and Controllability of Regular Polynomial Matrix Systems." In 2018 37th Chinese Control Conference (CCC). IEEE, 2018. http://dx.doi.org/10.23919/chicc.2018.8482577.
Full textRonca, Alessandro, and Giuseppe De Giacomo. "Efficient PAC Reinforcement Learning in Regular Decision Processes." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/279.
Full textHara, Seiya, and Takayoshi Shoudai. "Polynomial Time Mat Learning of C-deterministic Regular Formal Graph Systems." In 2014 IIAI 3rd International Conference on Advanced Applied Informatics (IIAIAAI). IEEE, 2014. http://dx.doi.org/10.1109/iiai-aai.2014.51.
Full textLe, Huu Phuoc, and Mohab Safey El Din. "Faster One Block Quantifier Elimination for Regular Polynomial Systems of Equations." In ISSAC '21: International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: ACM, 2021. http://dx.doi.org/10.1145/3452143.3465546.
Full textSATO, Y., and A. SUZUKI. "GRÖBNER BASES IN POLYNOMIAL RINGS OVER VON NEUMANN REGULAR RINGS — THEIR APPLICATIONS." In Proceedings of the Fourth Asian Symposium (ASCM 2000). WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812791962_0007.
Full textSato, Yosuke. "A new type of canonical Gröbner bases in polynomial rings over Von Neumann regular rings." In the 1998 international symposium. New York, New York, USA: ACM Press, 1998. http://dx.doi.org/10.1145/281508.281658.
Full textReports on the topic "Regular polynomial"
Baader, Franz, and Ralf Küsters. Unification in a Description Logic with Transitive Closure of Roles. Aachen University of Technology, 2001. http://dx.doi.org/10.25368/2022.115.
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