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Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

Computational Complexity · Computer Science 2012-12-03 Bhaskar DasGupta , Lakshmi Kaligounder

The paper is withdrawn by the author due to an oversimplified and misleading approach which was taken initially as a starting point.

High Energy Physics - Theory · Physics 2007-05-23 G. Bonelli

The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.

Quantum Physics · Physics 2010-04-05 Alexey E. Rastegin

This paper has been withdrawn by the author, because a profoundly overhauled and improved version, also with a new title and two more authors, has now been submitted to the arXiv, with no. hep-ph/0310059. In view of the elapsed time and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. D. Scadron

This paper has been withdrawn by the author due to serious flaws in certain proofs.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

The paper has been withdrawn by the author due to a the manuscript error.

Materials Science · Physics 2009-03-03 Yue Chan

This letter introduces a new, substantially simplified version of the branching recurrence operation of computability logic (see http://www.cis.upenn.edu/~giorgi/cl.html), and proves its equivalence to the old, "canonical" version.

Logic in Computer Science · Computer Science 2012-08-03 Giorgi Japaridze

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

Combinatorics · Mathematics 2008-04-14 S. Brlek , G. Labelle , A. Lacasse

This paper has been withdrawn by the author because there are some typos in proofs.

Commutative Algebra · Mathematics 2013-07-30 M. J. Nikmehr , F. Heydari

This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Maurizi , F. Tampieri

The paper has been withdrawn by the author.

Astrophysics · Physics 2007-05-23 Haijun Wang

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

Functional Analysis · Mathematics 2016-09-08 Joerg Eschmeier

Paper is withdrawn. On review the paper contributes little of significance. The runtime analysis of the algorithms presented, while correct in terms of number of operations, does not represent the complexity of the algorithms in terms of…

Data Structures and Algorithms · Computer Science 2011-07-29 Charles Sauerbier

Withdrawn by the authors due to crucial errors in equations (1) and (2).

High Energy Physics - Phenomenology · Physics 2007-05-23 C. E. C. Lima , H. M. Portella , L. C. S. de Oliveira

The paper has been withdrawn due to an error in Lemma 1.

Data Structures and Algorithms · Computer Science 2007-05-23 Sumit Ganguly

This paper has been withdrawn by the author.

General Physics · Physics 2011-08-04 Paul Bird

This paper has been withdrawn by the authors, because of serious experimental problems.

Superconductivity · Physics 2007-05-23 H. Tou , H. Ikejiri , Y. Maniwa , T. Ito , T. Takenobu , K. Prassides , Y. Iwasa

The paper is being withdrawn. A new submission will follow.

High Energy Physics - Theory · Physics 2007-05-23 Shyamoli Chaudhuri

Withdrawn due to error. See D. Lowe, L. Susskind and J. Uglum, hep-th/9402136, for correct treatment. Apologies to all recipients.

High Energy Physics - Theory · Physics 2008-02-03 David A. Lowe

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