Geometric Invariants
Mostrando 1-9 de 9 artigos, teses e dissertações.
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1. QUALITY ANALYSIS FOR THE VRP SOLUTIONS USING COMPUTER VISION TECHNIQUES
ABSTRACT The Vehicle Routing Problem (VRP) is a classical problem, and when the number of customers is very large, the task of finding the optimal solution can be extremely complex. It is still necessary to find an effective way to evaluate the quality of solutions when there is no known optimal solution. This work presents a suggestion to analyze the qualit
Pesqui. Oper.. Publicado em: 2017-08
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2. CALCULUS OF AFFINE STRUCTURES AND APPLICATIONS FOR ISOSURFACES / CÁLCULO DE ESTRUTURAS AFINS E APLICAÇÃO ÀS ISOSSUPERFÍCIES
Differential Geometry provides a set of measures invariant under a set of transformations, in particular rigid, affine, and projective. The invariants by rigid motions are using almost all applications of computer graphics and geometric modeling. The affine case, since it is more general, allows to extend these tools. In this work, geometric properties are p
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 03/08/2011
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3. Invariantes de curvas em grassmannianas divisíveis e equações diferenciais ordinárias / Invariants of curves in divisible grassmannians and ordinary differential equations
Neste trabalho estudamos a geometria de curvas de n-subespaços em Rkn, onde k é um natural qualquer, usando a mesma abordagem introduzida por J. C. Álvarez e C. Durán. Para isso generalizamos o endomorfismo fundamental e o descrevemos como um mergulho equivariante dos (k-1)-jets de curvas na Grassmanniana na álgebra de Lie de Gl(kn). Para descrição da
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 24/08/2010
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4. A geometria de curvas fanning e de suas reduções simpléticas / The geometry of fanning curves and of their simplectic reductions
A presente tese dá continuidade ao recente trabalho de J.C . Álvarez e C.E. Durán acerca dos invariantes geométricos de uma classe genérica de curvas em variedades de Grassmann, ditas "curvas fanning". Mais precisamente, considera-se como tais curvas de planos lagrangeanos comportam-se mediante uma redução simplética, e conclui-se a existência de do
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 20/08/2010
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5. Higher-Order Curvature and Local Solvability of Dθ
Let E and F be vector bundles and D:E̱ → F̱ an operator of order k. We associate a sequence of invariants Ⓗ(l)(D), l ≥ 0 with D which generalize the concept of curvature in a natural way. In the case where D = Dθ is the differential operator of a connection θ on a vector bundle E, Ⓗ(1)(Dθ) is the classical curvature. Furthermore, we find an inte
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6. Statistical geometry in sequence space: a method of quantitative comparative sequence analysis.
A statistical method of comparative sequence analysis that combines horizontal and vertical correlations among aligned sequences is introduced. It is based on the analysis mainly of quartet combinations of sequences considered as geometric configurations in sequence space. Numerical invariants related to relative internal segment lengths are assigned to each
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7. Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space
Mean curvature is one of the simplest and most basic of local differential geometric invariants. Therefore, closed hypersurfaces of constant mean curvature in euclidean spaces of high dimension are basic objects of fundamental importance in global differential geometry. Before the examples of this paper, the only known example was the obvious one of the roun
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8. A simple topological method for describing stereoisomers of DNA catenanes and knots.
Although linking number is an effective topological invariant for describing supercoiled DNA, it is inadequate for the additional interwinding in catenated or knotted DNA. We explain how the two-bridge theory of Schubert provides a powerful yet simple method for analyzing these forms by associating them with two integral invariants, alpha and beta, that meas
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9. Automatic classification of protein structure by using Gauss integrals
We introduce a method of looking at, analyzing, and comparing protein structures. The topology of a protein is captured by 30 numbers inspired by Vassiliev knot invariants. To illustrate the simplicity and power of this topological approach, we construct a measure (scaled Gauss metric, SGM) of similarity of protein shapes. Under this metric, protein chains n
The National Academy of Sciences.