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This paper has been withdrawn due to an error in the proof of the main theorem.

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This paper has been withdrawn by the author due to a crucial error.

Algebraic Geometry · Mathematics 2009-06-09 Takehiko Yasuda

The paper has been withdrawn.

Statistical Mechanics · Physics 2007-05-23 Xavier Leoncini , Alberto D. Verga

This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2080.

Representation Theory · Mathematics 2008-11-15 Apoorva Khare

The paper has been withdrawn because the research work is still in progress.

Quantum Physics · Physics 2007-05-23 Giuseppe Martinelli , Massimo Panella

The paper has been withdrawn

Statistical Mechanics · Physics 2007-05-23 Alexander I. Olemskoi , Alexei D. Kiselev

This paper is withdrawn due to a mistake. The revised version with a new tiltle can be found in hep-ph/0502199.

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhi-guang Xiao , Hanqing Zheng

This paper has been withdrawn by the author due a few mistakes in the paper.

Complex Variables · Mathematics 2011-01-19 Lakshmi Priya Magudeeswari Easwaran

This paper has been withdrawn by the author.

Optimization and Control · Mathematics 2007-05-23 A. Sh. Abakarov , Yu. A. Sushkov

This paper has been withdrawn.

Classical Analysis and ODEs · Mathematics 2009-12-17 George Bluman , Raouf Dridi

This paper has been withdrawn by the author, due to errors in the figures.

High Energy Physics - Phenomenology · Physics 2010-03-17 Shao-Hsuan Chiu

This paper has been withdrawn by the authors, because it has been made obsolete by the detailed expositions in our papers in arXiv:0812.4885 (the mathematics part) and arXiv:0812.4737 (the economics part).

General Finance · Quantitative Finance 2009-01-03 V. P. Maslov , V. E. Nazaikinskii

This paper was withdrawn by arXiv administrators.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

This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.

Algebraic Geometry · Mathematics 2009-08-25 William N. Traves , Max Wakefield

Recent advances in large language models (LLMs) have led to new summarization strategies, offering an extensive toolkit for extracting important information. However, these approaches are frequently limited by their reliance on isolated…

Artificial Intelligence · Computer Science 2024-06-21 Pranav Janjani , Mayank Palan , Sarvesh Shirude , Ninad Shegokar , Sunny Kumar , Faruk Kazi

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Bracco , F. S. Navarra , M. Nielsen

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

Group Theory · Mathematics 2009-11-25 Alex Wright

This paper has been withdrawn

Networking and Internet Architecture · Computer Science 2009-12-07 Mohamed H. S. Morsy , Mohammad Y. S. Sowailem , Hossam M. H. Shalaby

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

Analysis of PDEs · Mathematics 2014-01-14 Christian G. Boehmer

The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.

Materials Science · Physics 2007-05-23 U. Krey
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