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27.940  Articles
1 of 2.794 pages  |  10  records  |  more records»
A geometric approach to the proof of Fermat’s last theorem is proposed. Instead of integers a, b, c, Fermat’s last theorem considers a triangle with side lengths a, b, c. It is proved that in the case of right-angled and obtuse-angled triangles Fermat's e... see more

In 1995, A, Wiles [2], [3], announced, using cyclic groups ( a subject area which was not available at the time of Fermat), a proof of Fermat's Last Theorem, which is stated as fol-lows: If is an odd prime and x; y; z; are relatively prime positive intege... see more

In this paper, the following statememt of Fermats Last Theorem is proved. If x, y, z are positive integersï° is an odd prime and z = x y , x, y, z ï° ï° ï° ï€« are all even. Also, in this paper, is proved (Beals conjecture) The equationï¸ ï­ ï® z = x  ... see more

In this paper, the following statememt of Fermat's Last Theorem is proved. If x; y; z are positive integers, _ is an odd prime and z_ = x_ + y_; then x; y; z are all even. Also, in this paper, is proved Beal's conjecture; the equation z_ = x_ + y_ has no ... see more

«The great theorem the Pherma» for the sum of any number of composed extents of integers is in-process generalized.

An element ee of a 33-connected matroid MM is elastic if si(M/e){\rm si}(M/e), the simplification of M/eM/e, and co(M\e){\rm co}(M\backslash e), the cosimplification of M\eM\backslash e, are both 33-connected. It was recently shown that if |E(M)|=4|E(M)|\... see more

This paper is based on Khintchine theorem, Groshev theorem and measure and dimension theorems for non-degenerate manifolds. The inhomogeneous Diophantine approximation of Groshev type on manifolds is studied. Major work is to discuss the inhomogeneous con... see more

This paper focuses on some main properties of the finite partially ordered sets. These properties are furnished in the form of theorems. Here we have presented three such theorems. The first theorem is called as ‘duality theorem’. This fundamental theorem... see more

Geometric programming problem is a powerful tool for solving some special type nonlinear programming problems. In the last few years we have seen a very rapid development on solving multiobjective geometric programming problem. A few mathematical programm... see more

1 of 2.794 pages  |  10  records  |  more records»