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This paper has been withdrawn by the authors, due to a crucial error in beta functions.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

This paper has been withdrawn by the author due to a crucial error in equation (51).

Combinatorics · Mathematics 2009-02-04 Jonathan Novak

This paper has been withdrawn by the author(s) due to the discussion was made on the basis of linear term merely, which is incomplete.

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Pei-Qing Jin , You-Quan Li

This paper was withdrawn by arXiv admin due to authors' misrepresentation of identity/affiliation.

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. P. Koperski , M. T. Koperski

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Quantum Physics · Physics 2009-09-29 Toshifumi Itakura

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Functional Analysis · Mathematics 2011-09-27 G. Sankara Raju Kosuru , P. Veeramani

This paper has been withdrawn by the author due to similarity to Author's other paper

General Relativity and Quantum Cosmology · Physics 2009-04-13 Erez M. Yahalomi

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Ruadhan O'Flanagan

This paper has been withdrawn by the author. Lemma 8 is used in the proof of Lemma 6, but it is not correct. Lemma 6 is essential for the main results.

Quantum Physics · Physics 2007-05-23 Masahito Hayashi

This paper has been withdrawn by the authors due to new experimental results.

Superconductivity · Physics 2007-05-23 W. Kuo

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

General Topology · Mathematics 2011-05-02 Huseyin Cakalli

This paper has been withdrawn by the authors, due to a flaw in the proof of Theorem 1. This preprint is superseded by quant-ph/0610027, where a correct proof can be found. Thanks to Rainer Siegmund-Schultze for spotting the error.

Quantum Physics · Physics 2007-05-23 J. Calsamiglia , Ll. Masanes , R. Munoz-Tapia , A. Acin , E. Bagan

The author decided to withdraw this paper by 1) an error in Lemma 5.11 (and 5.12) which requires some justification; 2) the main result of this paper suffers overlap with arXiv:1203.5254; 3) the author decided to split arXiv:1203.5254 into…

Representation Theory · Mathematics 2012-07-20 Syu Kato

This paper has been withdrawn by the author, since one of the key results duplicates existing work, as pointed out by a reader. I am currently revising the manuscript.

Statistical Mechanics · Physics 2007-05-23 Eric J. Friedman

This paper has been temporarily withdrawn by the author(s),

Discrete Mathematics · Computer Science 2007-05-23 Louis-Sebastien Guimond , Jan Patera , Jiri Patera

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

Analysis of PDEs · Mathematics 2007-05-23 Dongho Chae

This paper is withdrawn. See quant-ph/9806031 for a discussion.

Quantum Physics · Physics 2007-05-23 Adrian Kent

This paper has been withdrawn

Geophysics · Physics 2007-05-23 R. Katsman , E. Aharonov , H. Scher

This paper has been withdrawn by the author due a few mistakes in the paper.

Complex Variables · Mathematics 2011-01-19 Lakshmi Priya Magudeeswari Easwaran