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The paper has been withdrawn due to numerical error.

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Arunagiri

This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.

Commutative Algebra · Mathematics 2008-02-12 Satoshi Murai , Takayuki Hibi

This paper has been withdrawn by the author: it was a too preliminary version.

Other Condensed Matter · Physics 2009-11-10 Francois Ghoulmie

This paper has been withdrawn by the author due to crucial errors.

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

This paper has been withdrawn by the authors.

Statistical Mechanics · Physics 2009-09-25 Nadav M. Shnerb , Oded Agam

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

Number Theory · Mathematics 2007-09-04 Giovanni Coppola

This paper is withdrawn.

Nuclear Theory · Physics 2007-05-23 Mohamed E. Kelabi

This paper has been withdrawn by the author, due a critical mistake on page 3.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This paper has been withdrawn by the author due to a crucial sign error in equation 1

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

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.

Algebraic Geometry · Mathematics 2008-09-23 Hugues Zuber

This paper has been withdrawn by the authour.

Computer Vision and Pattern Recognition · Computer Science 2015-04-21 Fumin Shen , Chunhua Shen , Wei Liu , Heng Tao Shen

This paper is withdrawn due to some errors, which are corrected in arXiv:0912.0071v4 [cs.LG].

Cryptography and Security · Computer Science 2011-06-22 Kamalika Chaudhuri , Anand D. Sarwate

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

High Energy Physics - Theory · Physics 2009-08-27 Abouzeid M. Shalaby

This paper has been withdrawn by the authors.

Condensed Matter · Physics 2007-05-23 Brahim Elattari , Rochus Klesse

This paper has been withdrawn because of the requirement from the journal where the modified version of the paper is to be published.

Soft Condensed Matter · Physics 2008-03-04 A. G. Cherstvy , A. B. Kolomeisky , A. A. Kornyshev

This submission to arXiv has been withdrawn by the authors

Statistical Mechanics · Physics 2009-11-11 Cristobal Lopez , Francisco Ramos , Emilio Hernandez-Garcia , Miguel A. Munoz

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

Classical Analysis and ODEs · Mathematics 2011-05-02 Huseyin Cakalli

This paper has been withdrawn by the author.

Computation and Language · Computer Science 2015-03-14 Juan-Manuel Torres Moreno , Silvia Fernandez , Eric SanJuan

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

Quantum Physics · Physics 2008-05-26 Yibo Zhao