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This paper has been withdrawn by the author due to a crucial error.

Algebraic Geometry · Mathematics 2009-06-09 Takehiko Yasuda

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

Quantum Physics · Physics 2007-05-23 Masahito Hayashi

This paper has been withdrawn by the author due to a mistake in the section 4.

Complex Variables · Mathematics 2013-04-30 Su-Jen Kan

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

Differential Geometry · Mathematics 2009-03-20 Zuoliang Hou , Xi-Nan Ma , Damin Wu

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

Spectral Theory · Mathematics 2007-05-23 Raphael Ponge

This paper has been withdrawn by the authors due to an error.

Complex Variables · Mathematics 2007-05-23 Miran Cerne , Manuel Flores

This paper has been withdraw by the auhor due to a mistake in classification of the algebra

Analysis of PDEs · Mathematics 2008-04-16 Maxim Bobrov

This paper has been withdrawn by the author due to a crucial error in one of equation in (3).

Quantitative Methods · Quantitative Biology 2011-10-21 Nayyar Mehmood

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

Quantum Physics · Physics 2007-05-23 Oliver A. Ruebenacker

This paper has been withdrawn by the author due to crucial errors.

High Energy Physics - Phenomenology · Physics 2009-02-22 Tatsuru Kikuchi

The paper has been withdrawn by the author due to a crucial error.

Algebraic Geometry · Mathematics 2011-01-06 Yujiro Kawamata

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

Quantum Physics · Physics 2008-05-07 Tohya Hiroshima

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Networking and Internet Architecture · Computer Science 2011-06-28 Ayon Chakraborty , Kaushik Chakraborty , Swarup Kumar Mitra , M. K. Naskar

This paper has been withdrawn by the author due to errors.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This paper has been withdrawn by the author due to a crucial error.

Strongly Correlated Electrons · Physics 2007-05-23 K. Sasaki , A. A. Farajian , H. Mizuseki , Y. Kawazoe

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

Analysis of PDEs · Mathematics 2014-01-14 Christian G. Boehmer

This paper has been withdrawn by the author because it has been substantially modified.

Methodology · Statistics 2011-12-21 Caterina May , Chiara Tommasi

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

Algebraic Geometry · Mathematics 2009-09-29 Ilya Tyomkin

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

General Relativity and Quantum Cosmology · Physics 2008-03-05 Seungjoon Hyun , Jaehoon Jeong , Wontae Kim , John J. Oh

The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.

Materials Science · Physics 2007-05-23 U. Krey