Related papers: A note on extension of sliced average variance est…

This article is withdrawn because of a mistake in the main result of the paper.

The e-print is completely withdrawn for it was based on a report which was not public. The author seriously apologizes because he was unaware.

This paper has been withdrawn by the author due to a crucial sign error.

The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author, due to possible counter-examples.

The paper has been withdrawn by authors. The issues studied in this paper were changed so much that we have published a new paper considering these issues. See hep-th/0406074

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to serious error found in main argument.

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

This paper was withdrawn by the authors.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author, since now all four parts of the review are available as a single file 0804.1639. I also made some revision of the text in order to avoid misprints and some inaccurate expressions.

Sliced inverse regression (Duan and Li [Ann. Statist. 19 (1991) 505-530], Li [J. Amer. Statist. Assoc. 86 (1991) 316-342]) is an appealing dimension reduction method for regression models with multivariate covariates. It has been extended…

This paper has been withdrawn while the author verifies the literature.

This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.

This paper has been withdrawn by the authors due to some errors.

This paper has been withdrawn by the authors. It has been replaced by the papers: "Drawings of Planar Graphs with Few Slopes and Segments" (math/0606450) and "Graph Drawings with Few Slopes" (math/0606446).

This paper has been withdrawn by the author due to the unsure solution to the Dyson-Schwinger equation.

This paper has been withdrawn by the author.