22 resultados para Representations of algebras
em Repositório Institucional UNESP - Universidade Estadual Paulista "Julio de Mesquita Filho"
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Web service-based application is an architectural style, where a collection of Web services communicate to each other to execute processes. With the popularity increase of Web service-based applications and since messages exchanged inside of this applications can be complex, we need tools to simplify the understanding of interrelationship among Web services. This work present a description of a graphical representation of Web service-based applications and the mechanisms inserted among Web service requesters and providers to catch information to represent an application. The major contribution of this paper is to discus and use HTTP and SOAP information to show a graphical representation similar to a UML sequence diagram of Web service-based applications.
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This study aims to analyze the main social representations of law, justice and injustice preseneted by Argentinean and Brazilian youngsters. The Brazilian group consisted of 621 polled of three different regions-Floriano/PI, Erechim/RS, and Marilia/SP. From Argentina, 200 youngsters of Avellanedacity (Buenos Aires metropolitan region) participated. All the samples were proportionally divided according to the kind of school (public or private) and the school year attented (8(th) grade and 11(th) grade, considering the equivalent grade in Argentina). The data collection technique consisted of semi directed questionnaire composed by the free evocation of words technique. The procedure used to evaluate the results was the Analysis Correspondence Method (ANACOR). The results demonstrate important variations related to the youngster' nationality and they were discussed so that the preseneted representations were contextualized.
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The violence staged by young people has often been subjected to scientific analysis. The way youths speak, in their role as aggressors or as victims, is examined to determine how they experience violence in a number of different spheres. Repeated group interviews are used to analyze how violence is explained and depicted within the family, at school and in the neighbourhood by two groups of young people (14-17 years old) attending the same school on the outskirts of Rio Claro, Sao Paulo, Brazil. One of the groups involved is identified by the school as violent, and the other, as non-violent. Discourse analysis leads to two conclusions. First, the different contexts of violence infuse a mistrust of institutions, the environment and personal relationships into the subjects' experience, forming a fabric that clouds future prospects. Second, the group of youths identified as violent have a more simplistic, pessimistic view of reality: They see the world in black and white, and they lay no stock in the possibility that violence can be avoided. Consequently, they use violence and understand violence as a defensive strategy that gives one identity. On the other hand, the group identified as nonviolent feels it possible to intervene in situations with nonviolent tools like words. For the young subjects, violence is a context that they assume; it cancels their ability to identify rules and institutions, but it does not generate an effective interaction strategy. Violence causes their social microcontext (in which action prevails over meaning or meaning equals action) to assume overblown dimensions. Any intervention strategy must take into account this indissoluble unity between meaning and action.
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General Fierz-type identities are examined and their well-known connection with completeness relations in matrix vector spaces is shown. In particular, I derive the chiral Fierz identities in a simple and systematic way by using a chiral basis for the complex 4 X 4 matrices. Other completeness relations for the fundamental representations of SU(N) algebras can be extracted using the same reasoning. (c) 2005 American Association of Physics Teachers.
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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.
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A construction relating the structures of super Lie and super Jordan algebras is proposed. This may clarify the role played by field theoretical realizations of super Jordan algebras in constructing representations of super Kač-Moody algebras. The case of OSP(m, n) and super Clifford algebras involving independent Fermi fields and symplectic bosons is discussed in detail.
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This paper presents an applied qualitative and quantitative study and seeks to understand egocentric speech according to Vygotsky and Piaget and, through a literature review, the educational implications of Vygotsky and Piaget’s ideas. Additionally, the representations of these ideas by fifteen teachers of basic education are investigated. It is important to understand egocentric speech in Vygotsky and Piaget. Despite the differences in how they conceive its nature, functions and implications, for both, egocentric speech is intrinsically linked to and facilitates our understanding of child development. Regarding the representation of teachers who criticized children who used egocentric language, when teachers established any negative consequences of such language, they attributed it to the affective and moral aspects as well as to cognition. However, their approach was more practically oriented than those found in the psychological theories addressed. Therefore, this study aids in understanding the limits and scope of teacher-training courses.
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In this paper we obtain the orthogonality relations for the supergroup U(m|n), which are remarkably different from the ones for the U(N) case. We extend our results for ordinary representations, obtained some time ago, to the case of complex conjugated and mixed representations. Our results are expressed in terms of the Young tableaux notation for irreducible representations. We use the supersymmetric Harish-Chandra-Itzykson-Zuber integral and the character expansion technique as mathematical tools for deriving these relations. As a byproduct we also obtain closed expressions for the supercharacters and dimensions of some particular irreducible U(m|n) representations. A new way of labeling the U(m|n) irreducible representations in terms of m + n numbers is proposed. Finally, as a corollary of our results, new identities among the dimensions of the irreducible representations of the unitary group U(N) are presented. © 1997 American Institute of Physics.
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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This study evaluates the influence of different cartographic representations of in-car navigation systems on visual demand, subjective preference, and navigational error. It takes into account the type and complexity of the representation, maneuvering complexity, road layout, and driver gender. A group of 28 drivers (14 male and 14 female) participated in this experiment which was performed in a low-cost driving simulator. The tests were performed on a limited number of instances for each type of representation, and their purpose was to carry out a preliminary assessment and provide future avenues for further studies. Data collected for the visual demand study were analyzed using non-parametric statistical analyses. Results confirmed previous research that showed that different levels of design complexity significantly influence visual demand. Non-grid-like road networks, for example, influence significantly visual demand and navigational error. An analysis of simple maneuvers on a grid-like road network showed that static and blinking arrows did not present significant differences. From the set of representations analyzed to assess visual demand, both arrows were equally efficient. From a gender perspective, women seem to took at the display more than men, but this factor was not significant. With respect to subjective preferences, drivers prefer representations with mimetic landmarks when they perform straight-ahead tasks. For maneuvering tasks, landmarks in a perspective model created higher visual demands.
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Let p be a prime, and let zeta(p) be a primitive p-th root of unity. The lattices in Craig's family are (p - 1)-dimensional and are geometrical representations of the integral Z[zeta(p)]-ideals < 1 - zeta(p)>(i), where i is a positive integer. This lattice construction technique is a powerful one. Indeed, in dimensions p - 1 where 149 <= p <= 3001, Craig's lattices are the densest packings known. Motivated by this, we construct (p - 1)(q - 1)-dimensional lattices from the integral Z[zeta(pq)]-ideals < 1 - zeta(p)>(i) < 1 - zeta(q)>(j), where p and q are distinct primes and i and fare positive integers. In terms of sphere-packing density, the new lattices and those in Craig's family have the same asymptotic behavior. In conclusion, Craig's family is greatly extended while preserving its sphere-packing properties.
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The algebraic matrix hierarchy approach based on affine Lie sl(n) algebras leads to a variety of 1 + 1 soliton equations. By varying the rank of the underlying sl(n) algebra as well as its gradation in the affine setting, one encompasses the set of the soliton equations of the constrained KP hierarchy.The soliton solutions are then obtained as elements of the orbits of the dressing transformations constructed in terms of representations of the vertex operators of the affine sl(n) algebras realized in the unconventional gradations. Such soliton solutions exhibit non-trivial dependence on the KdV (odd) time flows and KP (odd and even) time Bows which distinguishes them From the conventional structure of the Darboux-Backlund-Wronskian solutions of the constrained KP hierarchy.
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Various Green functions of the Dirac equation with a magnetic-solenoid field (the superposition of the Aharonov-Bohm field and a collinear uniform magnetic field) are constructed and studied. The problem is considered in 2+1 and 3+1 dimensions for the natural extension of the Dirac operator (the extension obtained from the solenoid regularization). Representations of the Green functions as proper time integrals are derived. The nonrelativistic limit is considered. For the sake of completeness the Green functions of the Klein-Gordon particles are constructed as well. (C) 2004 American Institute of Physics.