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This paper has been withdrawn

Probability · Mathematics 2011-05-26 Martin Forde

This paper has been withdrawn by the author, due a critical mistake on page 3.

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

This paper has been withdrawn by the author due to similarity to Author's other paper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This paper has been withdrawn by the author, due a crucial error in the optimization.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This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

Classical Analysis and ODEs · Mathematics 2007-07-24 Yong Kum Cho , Sunggeum Hong , Joonil Kim , Chan Woo Yang

This paper has been withdrawn.

Strongly Correlated Electrons · Physics 2009-11-11 H. -J. Mikeska , A. K. Kolezhuk

This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.

Geometric Topology · Mathematics 2007-05-23 Jean-Marc Schlenker

This submission has been withdrawn at the request of the author.

Computational Complexity · Computer Science 2009-08-25 Raju Renjit G

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2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This paper has been withdrawn. The results are now part of math.GR/9804072.

Group Theory · Mathematics 2007-05-23 Arturo Magidin

This paper has been withdrawn by the author.

K-Theory and Homology · Mathematics 2009-03-16 A. V. Ershov

This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.

Probability · Mathematics 2018-06-22 H Chiu

The paper was withdrawn by the author. Further research is needed.

patt-sol · Physics 2007-05-23 V. S. Shchesnovich

This paper has been withdrawn by the author.

High Energy Physics - Phenomenology · Physics 2010-01-27 Alexander N. Jourjine

This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.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

Strongly Correlated Electrons · Physics 2007-05-23 Xiao-Gang Wen

This paper has been withdrawn by the author.

Quantum Physics · Physics 2007-05-23 Oscar Chavoya-Aceves

This paper is withdrawn.

Differential Geometry · Mathematics 2009-09-07 Michael T. Anderson

This paper has been withdrawn by the author.

General Physics · Physics 2011-08-04 Paul Bird