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This paper has been withdrawn

Soft Condensed Matter · Physics 2007-05-23 This paper has been withdrawn

This paper has been withdrawn by the author.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This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Soft Condensed Matter · Physics 2012-02-01 Qing Peng , Marcel Utz

This paper has been withdrawn due to an error in the proof of the main theorem.

Chaotic Dynamics · Physics 2010-11-09 E. Pecou , B. Cessac , G. Espinoza

This paper has been withdrawn by the author, due to the crucial mistake of the discussion in Sec IV.

Mesoscale and Nanoscale Physics · Physics 2008-02-12 Tatsuhiro Misumi

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Operator Algebras · Mathematics 2012-01-04 Dinh Trung Hoa

This paper has been withdrawn while the author verifies the literature.

Commutative Algebra · Mathematics 2007-05-23 Loring W. Tu

This paper has been withdrawn by the author, due to an error in relation (11).

Strongly Correlated Electrons · Physics 2007-05-23 Xiang-Yu Ge

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.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

The paper was retracted.

Cryptography and Security · Computer Science 2007-05-23 Dominic Mayers

This paper has been withdrawn due to a crucial theoretical and experimental error.

This paper has been withdrawn by the author, due a critical mistake on page 3.

Algebraic Topology · Mathematics 2008-08-22 Alexandru E. Stanculescu

Paper has been withdrawn.

Information Retrieval · Computer Science 2009-10-27 Ravita Chahar , Komal Hooda , Annu Dhankhar

This paper has been withdrawn by the author due to a crucial errors.

High Energy Physics - Phenomenology · Physics 2010-01-04 Fazal-e-Aleem , Sohail Afzal Tahir

This paper has been withdrawn.

Other Computer Science · Computer Science 2007-05-23 Hooman Nikmehr , Braden Phillips , Cheng-Chew Lim

This paper has been withdrawn

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

This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.

Number Theory · Mathematics 2009-05-22 Masanobu Kaneko , Hironori Matsuo

This paper has been withdrawn by the author(s), due an error in the proof.

Combinatorics · Mathematics 2011-11-09 Lin Hu , Xueliang Li

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

Combinatorics · Mathematics 2009-02-04 Jonathan Novak