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For the linear partial differential equation $P(\partial_x,\partial_t)u=f(x,t)$, where $x\in\mathbb{R}^n,\;t\in\mathbb{R}^1$, with $P(\partial_x,\partial_t)$ is $\prod^m_{i=1}(\frac{\partial}{\partial{t}}-a_iP(\partial_x))$ or…

Analysis of PDEs · Mathematics 2011-02-04 Guangqing Bi , Yuekai Bi

Divide and Conquer is a well known algorithmic procedure for solving many kinds of problem. In this procedure, the problem is partitioned into two parts until the problem is trivially solvable. Finding the distance of the closest pair is an…

Computational Geometry · Computer Science 2011-11-11 Mohammad Zaidul Karim , Nargis Akter

This paper has been withdrawn by the author.

Strongly Correlated Electrons · Physics 2007-05-23 Xiao-Gang Wen

This paper has been withdrawn

Soft Condensed Matter · Physics 2007-05-23 This paper has been withdrawn

This article has been withdrawn.

Quantum Physics · Physics 2007-05-23 John C. Howell , Irfan A. Khan , Dik Bouwmeester , N. P. Bigelow

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

General Mathematics · Mathematics 2009-09-21 Yun-Su Kim

We describe a general methods to localize any sort of k-separability and therefore also the corresponding partial entanglement in genuinely multipartite mixed quantum states. Our methods are based exclusively on the known twopartite methods…

Quantum Physics · Physics 2010-03-02 Roman Gielerak Marek Sawerwain

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Zhan Xu , Bei Zeng

The author has removed this paper, following the publication of a more complete version.

General Relativity and Quantum Cosmology · Physics 2007-05-23 James D. E. Grant

Algorithmic approach to the problem of linearization by point transformation of ordinary differential equation of arbitrary order is presented. Test-linearization is purely algorithmic.

Classical Analysis and ODEs · Mathematics 2017-06-07 Vladimir Gerdt , Dmitry Lyakhov

This article examines a new approach to solving ordinary differential equations based on Fractional-Calculus theory. Poisson and Sturm-Liouville-type problems are studied, together with different boundary conditions. Each case is analyzed…

Numerical Analysis · Mathematics 2023-05-29 Sergio F. Yapur

Removed by arXiv administration. This article was plagiarized directly from Stephen Cook's description of the problem for the Clay Mathematics Institute. See http://gauss.claymath.org:8888/millennium/P_vs_NP/pvsnp.pdf for the original text.

Computational Complexity · Computer Science 2010-01-22 Rakesh Dube

This article is taken out.

Artificial Intelligence · Computer Science 2007-05-23 Prashant

E394 in the Enestrom index. Translated from the Latin original, "De partitione numerorum in partes tam numero quam specie datas" (1768). Euler finds a lot of recurrence formulas for the number of partitions of $N$ into $n$ parts from some…

History and Overview · Mathematics 2007-12-04 Leonhard Euler

This paper has been withdrawn by the author due to its publication

Algebraic Geometry · Mathematics 2007-09-18 Jiawang Nie , Markus Schweighofer

This paper has been withdrawn.

High Energy Physics - Theory · Physics 2007-05-23 Avijit Mukherjee , Mohammad M. Sheikh-Jabbari

In this paper we propose an algorithm for the numerical solution of arbitrary differential equations of fractional order. The algorithm is obtained by using the following decomposition of the differential equation into a system of…

Numerical Analysis · Mathematics 2025-10-20 Leszczynski Jacek , Ciesielski Mariusz

Approximate solutions of the Fisher equation obtained by different splitting methods are investigated. The error of this nonlinear problem is analyzed. The order of different splitting methods coupled with numerical methods of different…

Numerical Analysis · Mathematics 2011-03-23 Tamás Ladics

They are possible other cases at first done not contemplate. This paper has been withdrawn by the author due to a crucial sign error in equation 1 page 4

Analysis of PDEs · Mathematics 2012-03-13 Ulisse Iotti

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

General Mathematics · Mathematics 2025-08-25 Angshuman Robin Goswami