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This paper has been withdrawn by the authors. Our basic argument on the gauge invariance presented in this paper cannot withstand the criticism which has been drawn to our attention by several colleagues.

Superconductivity · Physics 2009-07-28 Jonathan M. Buhmann , Manfred Sigrist

This paper has been withdrawn by the author due to an error in the proof.

Combinatorics · Mathematics 2008-03-12 J. Shen

This paper has been withdrawn by the author due to a crucial error in the submission action.

Computer Science and Game Theory · Computer Science 2008-09-24 Riccardo Alberti

This paper has been withdrawn due to its publication

Optimization and Control · Mathematics 2007-09-18 Jiawang Nie , James W. Demmel

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

Quantum Physics · Physics 2007-05-23 Masahito Hayashi

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Quantum Physics · Physics 2009-09-29 Toshifumi Itakura

This paper is withdrawn due to some gaps in the proof

Functional Analysis · Mathematics 2009-03-05 Rishad Shahmurov

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

Differential Geometry · Mathematics 2008-04-04 Corey A. Hoelscher

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

Geometric Topology · Mathematics 2008-10-14 Christian Wegner

This paper has been retracted.

Machine Learning · Computer Science 2013-07-09 David McAllester

The paper has been withdrawn.

Quantum Algebra · Mathematics 2007-05-23 Boris Shoikhet

This paper has been withdrawn due to errors in the analysis of data with Carrier Access Rate control and statistical methodologies.

Networking and Internet Architecture · Computer Science 2016-09-08 Reginald D. Smith

This paper has been withdrawn by the author due to a crucial errors.

High Energy Physics - Phenomenology · Physics 2010-01-04 Fazal-e-Aleem , Sohail Afzal Tahir

This paper has been withdrawn by the authors, because the authors have second thought that the new ideas in this paper are better to be contained in another paper.

High Energy Physics - Phenomenology · Physics 2007-05-23 Naoyuki Haba , Toshifumi Yamashita

The paper was withdrawn by the author. It contained various errors.

General Mathematics · Mathematics 2007-05-23 Hisanobu Shinya

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Functional Analysis · Mathematics 2011-09-27 G. Sankara Raju Kosuru , P. Veeramani

This paper is withdrawn because of an error in Lemma 3.1

Analysis of PDEs · Mathematics 2009-04-13 Shiva Shankar

This paper was withdrawn by arXiv administrators. It is an erroneous duplicate submission of math.NA/0405095.

Numerical Analysis · Mathematics 2007-05-23 Steffen Hein

The paper is being withdrawn because of some theoretical inconsistencies.

High Energy Physics - Phenomenology · Physics 2016-09-06 Uma Mahanta , Prasanta Das