查询词典 sufficient condition

First, a map between the cones and tangent surface on C-Bézier curve und two-dimensional plane is found respectively and then a ruled surface between two Bezier curves is constructed and a sufficient condition on its developablity is given.

zier曲线上锥面、切线曲面的展开方法。然后，构造两条空间B？zier曲线上的直纹面，给出了它成为可展曲面的一个充分条件，并通过保角保长原则，将其贴合到平面上。

Based on these properties, a necessary and sufficient condition of quotient sequences matching for high-precision numbers and their most significant digit.

利用这些性质，本文给出了高精度数的最高位与它们自身商序列吻合的充要条件。

Meanwhile, the sufficient and necessary condition for the orientation of an arbitrary simple polygon is given.

同时，给出了任意简单多边形走向的充要条件。

We work out generalized Schur decomposition of quaternion matrix pencil and give out a sufficient condition for simultaneous unitary diagonalization of two quaternion matrices.

2得到了四元数矩阵束的广义Schur分解及两四元数矩阵可同时酉对角化的一个充分条件。

This kind of problems is first changed into the model of perceptrons in neural theory, Under the assumption of a finite set of social states. a sufficient and necessary condition for single-valued choice functions to be sum-fuzzy implementable is obtained: a geometric characterization is also given: an efficient algorithm for the sumfuzzy implementation of single-valued choice func...

本文在有限社会状态集合的情形，给出了单值选择函数是和型Fuzzy可实现的一个充要条件；并给出了相关几何描述结论；借助于感知器的学习算法规则给出了单值选择函数的和型Fuzzy实现的有效算法；最后还给出了一个具体例子。

Firstly, analysis on the problem of stability for the closed loop system in one form of the above system is presented by constructing singular Lyapunov function, a sufficient condition on E-asymptotic stability of the system is given.

首先通过构造广义Lyapunov函数的方法，对其中一类形式的闭环系统稳定性问题进行分析，给出了系统零解E-渐近稳定的充分条件。

1It is the first time to study the direct method of solution for singular integral equations with solutions having singularities of order one. The necessary and sufficient condition for the solvability and the close form of the solution are obtained.

本文主要在以下几个方面有所创新：第一，首次研究了具有一阶奇异性解的完全奇异积分方程的直接求解，并得到其可解的充要条件和解的封闭形式。

It is proved that if the optimal solution tree has an inter-node, the necessary and sufficient condition that tree structure GAs are solution foundable is that the initial population contains an inter-node; the upper limit of solution foundable probability is also calculated and the population size is proved to increase at most in a polynomial of increasing problem complexity and the probability upper limit.

本文接着给出了当初始群体随机产生，只有杂交算符作用或只有复制与杂交算符作用的遗传算法有解的充要条件，并加以证明；而且求出了这时有解的概率上限，并证明群体大小的增加不超过问题复杂性和有解概率上限的某个多项式。

In terms of linear matrix inequalities, a sufficient condition for the solvability of the problem is given.

运用线性矩阵不等式，设计了状态反馈控制器，使得闭环系统对于允许的不确定性，总是渐近稳定的。

In this paper, the author gives sufficient and necessary condition of solvable group using the weak c-normality of maximal and Sylow subgroup and gets some results about supersolvability and p-nilpotentlity of groups

作者研究了弱c-正规的性质并用Sylow子群和极大子群的弱c-正规性来确定一些群的结构，给出了一个群为可解群的充分必要条件，同时由极大子群、Sylow子群的弱c-正规性得到群G p-幂零、超可解的有关定理。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！