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This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.
This paper has been withdrawn.
There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author
This paper has been withdrawn by the author due to a mistake.
This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn
This paper has been withdrawn by the author due to a crucial definition error of Triebel space.
This paper has been withdrawn by the author due to similarity to Author's other paper
Due to unsuitable attempt to connect the base theory in hep-th/0106074 to noncommutative field theory, this paper has been withdrawn by the author.
The effect of the random quantum transverse field $\Omega$
This paper has been withdrawn by the author due a crucial error.
This paper has been withdrawn. (Reason) Its contents have been entirely superseded by the contents of the articles arXiv:0809.3444 and arXiv:0705.3070. There is no profitable reason to keep it alive. No material on it is however wrong.
This paper has been withdrawn by the author(s), due to the existence of a much better paper in http://arxiv.org/abs/cs.CR/0207027
This paper is withdrawn.
This paper has been withdrawn due to disagreement of suggested results and methods between authors.
This paper has been withdrawn by the authors
This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.