985 resultados para Schubert calculus
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Recently, operational matrices were adapted for solving several kinds of fractional differential equations (FDEs). The use of numerical techniques in conjunction with operational matrices of some orthogonal polynomials, for the solution of FDEs on finite and infinite intervals, produced highly accurate solutions for such equations. This article discusses spectral techniques based on operational matrices of fractional derivatives and integrals for solving several kinds of linear and nonlinear FDEs. More precisely, we present the operational matrices of fractional derivatives and integrals, for several polynomials on bounded domains, such as the Legendre, Chebyshev, Jacobi and Bernstein polynomials, and we use them with different spectral techniques for solving the aforementioned equations on bounded domains. The operational matrices of fractional derivatives and integrals are also presented for orthogonal Laguerre and modified generalized Laguerre polynomials, and their use with numerical techniques for solving FDEs on a semi-infinite interval is discussed. Several examples are presented to illustrate the numerical and theoretical properties of various spectral techniques for solving FDEs on finite and semi-infinite intervals.
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Sabemos que interpretação, qualquer que ela seja, implica uma escolha. Sabemos que essa escolha, muitas vezes também, implica controvérsia. No caso da música ela é fulcral (a escolha e a controvérsia) uma vez que a obra não vive sem o acto performativo. Essa vida de que falo refere-se a um público. É óbvio que a controvérsia alimenta muitas das teorias apresentadas desde sempre pelos mais diversos pensadores musicais e é, por si só, uma razão importante da prática musical pensada e escrita. A Winterreise de Schubert contém amplo material de discussão respeitante às várias escolhas. Neste trabalho vou observar em primeiro lugar as escolhas do compositor em relação ao texto poético para seguidamente me debruçar sobre o espaço que resta, ou não, ao intérprete. Será apresentada uma análise harmónica e rítmica das canções e uma perspectiva das várias escolhas interpretativas postas por um grupo variado de intérpretes teóricos e práticos, apoiando-me na muita literatura musicológica disponível sobre este tema.
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1 kartta :, vär. ;, 102 x 70 cm, [1:1231722], skalan är en million 231722 del af naturliga storleken
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Traduction de Wylie, rédigée par Li Shan lan ; préfaces Chinoises des deux traducteurs (1859) ; préface anglaise, écrite à Shang hai par A. Wylie (juillet 1859). Liste de termes techniques en anglais et en Chinois. Gravé à la maison Mo hai (1859).18 livres.
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Qualitative spatial reasoning (QSR) is an important field of AI that deals with qualitative aspects of spatial entities. Regions and their relationships are described in qualitative terms instead of numerical values. This approach models human based reasoning about such entities closer than other approaches. Any relationships between regions that we encounter in our daily life situations are normally formulated in natural language. For example, one can outline one's room plan to an expert by indicating which rooms should be connected to each other. Mereotopology as an area of QSR combines mereology, topology and algebraic methods. As mereotopology plays an important role in region based theories of space, our focus is on one of the most widely referenced formalisms for QSR, the region connection calculus (RCC). RCC is a first order theory based on a primitive connectedness relation, which is a binary symmetric relation satisfying some additional properties. By using this relation we can define a set of basic binary relations which have the property of being jointly exhaustive and pairwise disjoint (JEPD), which means that between any two spatial entities exactly one of the basic relations hold. Basic reasoning can now be done by using the composition operation on relations whose results are stored in a composition table. Relation algebras (RAs) have become a main entity for spatial reasoning in the area of QSR. These algebras are based on equational reasoning which can be used to derive further relations between regions in a certain situation. Any of those algebras describe the relation between regions up to a certain degree of detail. In this thesis we will use the method of splitting atoms in a RA in order to reproduce known algebras such as RCC15 and RCC25 systematically and to generate new algebras, and hence a more detailed description of regions, beyond RCC25.
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Rapport de recherche
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Exam questions and solutions on a variety of calculus topics.
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Notes, exercises, exam questions and solutions for a second year analysis course.
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Word notes for a first year university calculus course
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Exercises and solutions for a first year calculus and algebra course. Diagrams for the questions are all together in the support.zip file, as .eps files
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Exercises and solutions for a third year calculus course. Diagrams for the questions are all together in the support.zip file, as .eps files
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Exercises and solutions about vector calculus
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