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This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.

Probability · Mathematics 2018-06-22 H Chiu

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

Combinatorics · Mathematics 2008-04-14 S. Brlek , G. Labelle , A. Lacasse

This paper has been withdrawn by the author due to the result being known

Differential Geometry · Mathematics 2010-08-20 Li Ma

This paper has been withdrawn by the authors, due to a crucial error in beta functions.

Disordered Systems and Neural Networks · Physics 2007-05-23 Chigak Itoi , Hisamitsu Mukaida , Yoshinori Sakamoto

There are several serious errors in this paper. I thought to have time to fix it, but it did not occur for years. So I withdraw this paper.

Representation Theory · Mathematics 2011-09-21 Syu Kato

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

Classical Analysis and ODEs · Mathematics 2012-06-11 Shuanglin Shao

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

Differential Geometry · Mathematics 2008-06-10 Jon Wolfson

This paper has been withdrawn by the author due to some errors.

Information Theory · Computer Science 2010-02-26 Dong Huang , Zhiqi Shen , Chunyan Miao , Zhihong Man , Cyril Leung

This paper has been withdrawn by the author, since the result was already known.

Category Theory · Mathematics 2009-09-15 Hiroyuki Nakaoka

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Allen Stairs , Jeffrey Bub

This paper has been withdrawn by the author.

History and Overview · Mathematics 2012-01-19 Oscar Bolina

This paper has been withdrawn by the author.

Operator Algebras · Mathematics 2007-05-23 Tomohiro Hayashi

This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)

Commutative Algebra · Mathematics 2007-05-23 P. Ullrich

This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.

Algebraic Geometry · Mathematics 2007-05-23 Yujiro Kawamata

This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327

Algebraic Geometry · Mathematics 2010-01-14 Mario Maican

This paper has been withdrawn by the author. A much more revised version is available as arXiv:0909.4238.

General Relativity and Quantum Cosmology · Physics 2009-09-23 Rudranil Basu

This paper has been withdrawn by the author due to its publication

Algebraic Geometry · Mathematics 2007-09-18 Jiawang Nie , Markus Schweighofer