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This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.

General Physics · Physics 2008-06-11 David J. BenDaniel

This paper has been withdrawn by the authors

Optics · Physics 2007-05-23 Heping Zeng , Jian Wu , Kun Wu , Han Xu

This paper has been withdrawn by the author, since the result was already known.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This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)

Information Theory · Computer Science 2016-08-14 Øyvind Ryan , Merouane Debbah

This paper has been withdrawn by the author.

General Physics · Physics 2011-08-04 Paul Bird

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

Quantum Physics · Physics 2016-09-08 S. Rai , J. Rai

This paper was withdrawn by the authors. The mistake in math.AG/0209223 affects also this paper.

Algebraic Geometry · Mathematics 2007-05-23 Marco Boggi

This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.

Mathematical Physics · Physics 2007-05-23 Z. C. Tu

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

Number Theory · Mathematics 2007-08-29 Ping-Shun Chan

This paper has been withdrawn by the author.

Classical Analysis and ODEs · Mathematics 2012-03-27 Erdoğan Şen

This paper has been withdrawn.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This paper has been withdrawn by the author due to a error in attachment of source file.

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

The paper has been withdrawn.

Quantum Algebra · Mathematics 2010-01-05 Nanhua Xi

This paper has been withdrawn by the author

Other Computer Science · Computer Science 2010-04-20 Kazi Mohammed Saidul Huq , Md. Taslim Arefin , A. F. M. Sultanul Kabir

This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.

Commutative Algebra · Mathematics 2010-12-09 Yongbin Li

This paper has been withdrawn by the authors.

Quantum Algebra · Mathematics 2007-05-23 Ivan Mirkovic , Dmitriy Rumynin

This paper has been withdrawn by the author.

High Energy Physics - Lattice · Physics 2007-05-23 Hiroshi Suzuki

This paper has been withdrawn by the author.

Differential Geometry · Mathematics 2009-06-15 Javier Fresan