REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KDV HIERARCHIES AND THE 2-MATRIX MODEL

Toda lattice hierarchy and the associated matrix formulation of the 2M-boson KP hierarchies provide a framework for the Drinfeld-Sokolov reduction scheme realized through Hamiltonian action within the second KP Poisson bracket. By working with free currents, which Abelianize the second KP Hamiltonian structure, we are able to obtain a unified formalism for the reduced SL(M + 1, M - k) KdV hierarchies interpolating between the ordinary KP and KdV hierarchies. The corresponding Lax operators are given as superdeterminants of graded SL(M + 1, M - k) matrices in the diagonal gauge and we describe their bracket structure and field content. In particular, we provide explicit free field representations of the associated W(M, M - k) Poisson bracket algebras generalising the familiar nonlinear W-M+1 algebra. Discrete Backlund transformations for SL(M + 1, M - k) KdV are generated naturally from lattice translations in the underlying Toda-like hierarchy. As an application we demonstrate the equivalence of the two-matrix string model to the SL(M + 1, 1) KdV hierarchy.

Projective Fourier duality and Weyl quantization

The Weyl-Wigner correspondence prescription, which makes great use of Fourier duality, is reexamined from the point of view of Kac algebras, the most general background for noncommutative Fourier analysis allowing for that property. It is shown how the standard Kac structure has to be extended in order to accommodate the physical requirements. Both an Abelian and a symmetric projective Kac algebra are shown to provide, in close parallel to the standard case, a new dual framework and a well-defined notion of projective Fourier duality for the group of translations on the plane. The Weyl formula arises naturally as an irreducible component of the duality mapping between these projective algebras.

A photogrammetric method for single image orientation and measurement

The aim of this paper is to present a photogrammetric method for determining the dimensions of flat surfaces, such as billboards, based on a single digital image. A mathematical model was adapted to generate linear equations for vertical and horizontal lines in the object space. These lines are identified and measured in the image and the rotation matrix is computed using an indirect method. The distance between the camera and the surface is measured using a lasermeter, providing the coordinates of the camera perspective center. Eccentricity of the lasermeter center related to the camera perspective center is modeled by three translations, which are computed using a calibration procedure. Some experiments were performed to test the proposed method and the achieved results are within a relative error of about 1 percent in areas and distances in the object space. This accuracy fulfills the requirements of the intended applications. © 2005 American Society for Photogrammetry and Remote Sensing.

Um estudo sobre o osu do modelo de cor RGB no proceso de correspondência por correlação

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Some implications of the cosmological constant to fundamental physics

In the presence of a cosmological constant, ordinary Poincaré special relativity is no longer valid and must be replaced by a de Sitter special relativity, in which Minkowski space is replaced by a de Sitter spacetime. In consequence, the ordinary notions of energy and momentum change, and will satisfy a different kinematic relation. Such a theory is a different kind of a doubly special relativity. Since the only difference between the Poincaré and the de Sitter groups is the replacement of translations by certain linear combinations of translations and proper conformal transformations, the net result of this change is ultimately the breakdown of ordinary translational invariance. From the experimental point of view, therefore, a de Sitter special relativity might be probed by looking for possible violations of translational invariance. If we assume the existence of a connection between the energy scale of an experiment and the local value of the cosmological constant, there would be changes in the kinematics of massive particles which could hopefully be detected in high-energy experiments. Furthermore, due to the presence of a horizon, the usual causal structure of spacetime would be significantly modified at the Planck scale. © 2007 American Institute of Physics.

Dicionário multilíngue de regência verbal: equivalentes em francês

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Vocabulário erótico-obsceno dos orgãos sexuais masculino e feminino em português e italiano

Pós-graduação em Estudos Linguísticos - IBILCE

Figuratividade na poesia bucólica de Virgílio

Pós-graduação em Estudos Literários - FCLAR

Epigramas de Marcial traduzidos por José Feliciano de Castilho: edição, notas e comentários

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A cultura brasileira de Darcy Ribeiro em língua inglesa: um estudo da tradução de termos e expressões de antropologia da civilização

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Tradução juramentada de contratos de compra e venda

Pós-graduação em Estudos Linguísticos - IBILCE

A tradução e os prazeres o mundo de Clarice Lispector

Pós-graduação em Estudos Linguísticos - IBILCE

A reescritura de Katherine Mansfield por Érico Veríssimo: análise descritiva da tradução para o português da obra Bliss and other stories

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A crítica política e literária de Kurt Tucholsky e o início da República de Weimar (1919-1924)

Pós-graduação em Letras - FCLAS

As flores animadas em O Parahyba : características do suporte e suas significações no folhetim brasileiro do século XIX

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)