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Based on the two normal forms, the decidability theorem in L is then proved and a deduction-based decision algorithm P is designed. The time complexity O(n3) of P is much less than the complexity O(2n) of the true value table method and the complexity O(n5) of HAL based on the tactic scheme.

首先定义了消解复杂性的两种范式:最简范式和文字范式,在此基础上采用演绎方法证明了L中的可判定性定理,并设计了命题公式的演绎判定算法P。P的时间复杂度为O(n^3),远远小于基于真值表法的O(2^n)和基于策略方案HAL的O(n^5)。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上,我们从空间曲线运动出发,推导出了mKdV方程以及它的用以生成高阶对称的递归算子;推导出了多元mKdV方程以及二元和多元WKI方程,并证明了WKI系统和mKdV系统的规范等价性;尔后,通过考虑特征值问题,并引入一个恰当变换,给出了二元WKI方程的用以计算无穷多守恒密度的递归公式,从而证明了二元WKI方程的守恒可积性;系统地分析了两种mKdV方程的Painleve性质,并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

推荐网络例句

It goes back to what I told you...

现在回到我告诉过你的。。。

With a supporter in Mr Charest and an admirer in Mr Dumont, Mr Harper may be encouraged to call an election himself.

由于在沙雷那边有个支持者,杜蒙那边有个崇拜者,鼓励哈珀为自己举行一次选举。

Come to a "Chronicle" in.

来个"纪事"的。