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This paper was withdrawn by the author due to a fatal error.

Quantum Physics · Physics 2007-05-23 Chris Lomont

This paper has been withdrawn by the author due to errors.

Computational Complexity · Computer Science 2007-05-23 Gus Gutoski

This paper has been withdrawn due to a sign error in the equation for F_11 which invalidates many results.

Superconductivity · Physics 2007-05-23 K. M. Stevens , W. A. Atkinson

This paper has been withdrawn by the author due to the incorrect argument for the security.

Quantum Physics · Physics 2008-05-26 Yibo Zhao

This paper has been withdrawn by the author due to error in equation (46).

Strongly Correlated Electrons · Physics 2012-11-07 Hua Zhao

This paper has been withdrawn by the author due to a crucial problem in Lemma 3. This equation must be changed.

Performance · Computer Science 2012-02-08 Hossein Shokri , Mohammad Mozaffari , Adnan Gavili , Masoumeh Nasiri-Kenari

This paper has been withdrawn by the author, due to a crucial error in page 5.

General Mathematics · Mathematics 2009-02-06 Julio Alcantara-Bode

The paper was withdrawn by the author. It contained various errors.

General Mathematics · Mathematics 2007-05-23 Hisanobu Shinya

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

High Energy Physics - Theory · Physics 2015-05-13 Chang-Yong Liu

This paper has been withdrawn by the author due to a error in attachment of source file.

Mathematical Physics · Physics 2015-03-20 J. Sadeghi , H. Moayyeri

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.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This paper has been withdrawn by the authors due to a fatal flaw in the central proof.

Quantum Physics · Physics 2012-01-20 Marcin Zwierz , Carlos A. Perez-Delgado , Pieter Kok

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

Dynamical Systems · Mathematics 2007-05-23 Maria A. Avino-Diaz , Gabriela Bulancea

This paper has been withdrawn

Cryptography and Security · Computer Science 2011-05-19 Yong Wang

This paper has been withdrawn by the author due to an error in the derivation.

Statistical Mechanics · Physics 2011-04-22 David Andrieux

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.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

High Energy Physics - Phenomenology · Physics 2010-03-17 Shao-Hsuan Chiu

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

Chaotic Dynamics · Physics 2012-08-06 Fei Gao , Feng-Xia Fei , Qian Xu , Yan-Fang Deng , Yi-Bo Qi

This paper has been withdrawn

Information Theory · Computer Science 2009-01-15 Saeed Akhavan-Astaneh , Saeed Gazor