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This paper has been withdrawn by the author due to a crucial error.

Analysis of PDEs · Mathematics 2010-03-22 Xavier Carvajal

This paper has been withdrawn by the authors.

Statistical Finance · Quantitative Finance 2009-05-15 Cheoljun Eom , Okyu Kwon , Woo-Sung Jung

This paper has been withdrawn by the corresponding author because the newest version is now published in Discrete Applied Mathematics.

Computational Complexity · Computer Science 2010-09-02 Sylvain Guillemot , Francois Nicolas , Vincent Berry , Christophe Paul

This paper has been withdrawn by the author because in the main text some discussion parts were inadvertently added by mistake.

Mesoscale and Nanoscale Physics · Physics 2015-05-13 P. Debray , J. Wan , S. M. S. Rahman , R. S. Newrock , M. Cahay , A. T. Ngo , S. E. Ulloa , S. T. Herbert , M. Muhammad , M. Johnson

We would like to withdraw this article for the following reasons: 1 this article is not satisfactory for limited language and theoretical description; 2 we have enriched and revised this article with the help of other authors; 3 we must…

Artificial Intelligence · Computer Science 2023-03-14 Liang Zhang , Shubin Xie , Jianming Deng

This paper has been withdrawn

Quantum Algebra · Mathematics 2009-02-11 Kyousuke Uchino

This paper has been withdrawn by the author due to similarity to Author's other paper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This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

Astrophysics · Physics 2007-05-23 M. Chaves

This paper has been withdrawn by the author due to incomplete interpretation for the results.

Superconductivity · Physics 2016-08-31 Yang Sun , Mike Guidry , Lian-Ao Wu , Cheng-Li Wu

This paper has been withdrawn by the author

Algebraic Geometry · Mathematics 2008-04-11 Santiago Encinas

This paper has been withdrawn because the first author submitted the paper without previously consulting the rest of the authors.

Quantum Physics · Physics 2007-05-23 X. X. Yi

This paper is withdrawn by the author. See math.GT/9811093 for replacement.

Geometric Topology · Mathematics 2007-05-23 Terry Fuller

This paper has been withdrawn by the author due to a crucial sign error in equation 1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 Swarup kumar Mitra , Ayon Chakraborty , Subhajit Mandal , M. K. Naskar

This paper has been withdrawn by the author due to new results to be added.

High Energy Physics - Phenomenology · Physics 2007-05-23 Tsung-Wen Yeh

This paper has been withdrawn by the author.

Combinatorics · Mathematics 2010-11-22 Simon Griffiths

This paper has been withdrawn by the authors due to a fatal flaw in the central proof.

Quantum Physics · Physics 2012-01-20 Marcin Zwierz , Carlos A. Perez-Delgado , Pieter Kok

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

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 has been withdrawn by the authors.

Chemical Physics · Physics 2011-03-09 Pabitra K. Nayak , Juan Bisquert , David Cahen

This paper has been withdrawn by the author.

Optics · Physics 2015-05-19 Kyoung-Youm Kim , Jaehoon Jung , Jungho Kim