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This paper has been withdrawn because the result turns out to be trivial.

几何拓扑 · 数学 2007-05-23 Thomas Fiedler

This paper has been withdrawn by the authors.

信息论 · 计算机科学 2012-07-31 Hsieh WenBin , Leu Jenq-Shiou

This paper was withdrawn by arXiv admin due to authors' misrepresentation of identity/affiliation.

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. P. Koperski , M. T. Koperski

This version has been withdrawn. The new and final version is on ArXiv 1103.4878

数论 · 数学 2011-03-29 Said Manjra

This paper has been retracted.

机器学习 · 计算机科学 2013-07-09 David McAllester

This paper has been withdrawn to address an omission. It will be resubmitted in the near future.

高能物理 - 理论 · 物理学 2008-02-03 J. R. Shepard , J. A. McNeil

This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.

几何拓扑 · 数学 2011-03-08 Krishnendu Gongopadhyay , Ravi S. Kulkarni

This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

计算复杂性 · 计算机科学 2013-05-07 Karlen Garnik Gharibyan

The paper has been withdrawn.

量子代数 · 数学 2010-01-05 Nanhua Xi

This paper has been withdrawn by the author.

数论 · 数学 2009-06-19 Yuqing Zhang

The paper has been permanently removed due to copyright issues.

强关联电子 · 物理学 2009-11-07 V. Ya. Kravchenko

The paper was retracted.

密码学与安全 · 计算机科学 2007-05-23 Dominic Mayers

This submission has been withdrawn by arXiv admins due to fraudulent affiliation claims by the original submitter.

数论 · 数学 2014-08-18 Yuanyou Cheng , Glenn J. Fox , Mehdi Hassani

This paper has been withdrawn by the author(s), due an error in the proof.

组合数学 · 数学 2011-11-09 Lin Hu , Xueliang Li

This article has been removed by arXiv administrators due to falsified authorship.

应用统计 · 统计学 2019-03-05 V. Tadayon

arXiv admin note: This submission has been removed by arXiv administrators due to unprofessional personal attack.

系统与控制 · 计算机科学 2012-07-06 El Aroudi

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

高能物理 - 理论 · 物理学 2009-09-25 N. Mebarki , A. Maireche

This paper has been withdrawn by the author.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Lukasz Andrzej Glinka

This paper has been withdrawn.

经典分析与常微分方程 · 数学 2009-12-17 George Bluman , Raouf Dridi

The paper was removed.

代数几何 · 数学 2007-05-23 An-Min Li , Quan Zheng , Guosong Zhao , Hao Chen