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Start Over Creator Muñoz, J.

1. A new method of reduction of dimensionality in disctrminant analysis: application to the membership problem in open clusters

Creator:
Cabrera-Caño, J., Muñoz, J., and Alfaro, J.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
space research, discriminant analysis, and open clusters
Language:
Czech
Description:
A method of reduction of dimensionality in discriminant analysis has been specially designed for this study of separation between two populations and it is only based on the heterocedasticity of both groups. For this reason, it is of interest in the case of zero mean difference vector. Two examples of application, concerning the membership problem in open clusters from uvby and Hβ photometry and the separation of globular clusters into Oosterhoff's groups are shown.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Weil bundles and jet spaces

Creator:
Muñoz, J., Rodríguez, Josemar, and Muriel, F. J.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
jet near point contact element Weil bundle fundamental identification, near point, contact element, Weil bundle, and fundamental identification
Language:
English
Description:
In this paper we give a new definition of the classical contact elements of a smooth manifold M as ideals of its ring of smooth functions: they are the kernels of Weil’s near points. Ehresmann’s jets of cross-sections of a fibre bundle are obtained as a particular case. The tangent space at a point of a manifold of contact elements of M is shown to be a quotient of a space of derivations from the same ringC∞(M) into certain finite-dimensional local algebras. The prolongation of an ideal of functions from a Weil bundle to another one is the same ideal, when its functions take values into certain Weil algebras; following the same idea vector fields are prolonged, without any considerations about local one-parameter groups. As a consequence, we give an algebraic definition of Kuranishi’s fundamental identification on Weil bundles, and study their affine structures, as a generalization of the classical results on spaces of jets of cross-sections.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public