查询词典 sufficient condition

We attain a sufficientcondition realizing ideal disentanglement by manipulating only one part of the states.Under the condition that one only knows partial information on the set of states weput forward the necessary and sufficient condition for ideal disentangling operations.

我们获得了，为了达到理想的消纠缠，量子态集合所应满足的充分条件；在仅知态集合中量子态的部分信息的限制下，我们得到了理想消纠缠的充分必要条件。

In this paper,a necessary condition that a cut vertex belongs to every γ s set of G is discussed,and a necessary and sufficient condition of existing indepedent set dominating set in G is given.

本文讨论了割点属于G的任一最小集控制集的必要条件，并且给出了G有独立集控制集的充要条件。

On the basis of analyzing detailedly the correlative conclusions of the extreme value problem of two variable Function , this paper extends the essential condition and sufficient condition to multi-variable function by using the Taylor Formula 、Quadratic Form 、Hesse Matrix and so on,and gives a method to judge the extreme value of point whose vice-derivative doesn't exist by utilizing Lagranges theorem ,so that compensates for the blank above ,which turns idea that solve the extreme value of multi-variable function problem one by one into realities.

摘要本文在对二元函数极值问题的相关结论进行分析的基础上，用泰勒公式、二次型、海赛矩阵作为工具，将二元函数极值的必要条件和充分条件推广到多元函数的情形，而且还利用拉格朗日中值定理找到了一个判别不可导点处极值的方法，从而弥补了多元函数不可导点处极值无法判断的空缺。因而，使得用穷举判断的方法来解决多元函数的极值问题这一思路成为现实。

On ideal boundary condition, a necessary and sufficient condition for conformal equivalence of an open Riemman surface and its smooth covering surface are given in this paper.

给出了理想边界条件下开Riemman曲面与其光滑覆盖曲面为共形同胚映照的充要条件，并将其推广应用

The authors study the property of the active power/angle sub-matrix in power flow Jacobian matrix and the sufficient condition for the invertibility of the sub-matrix as well as the necessary condition for singularity are given.

探讨了潮流雅可比矩阵中有功/相角子矩阵的性质，给出了该矩阵可逆的充分条件及其奇异的必要条件。

Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence are proved under the condition of the weak tight, which have been used to research the some convergence of expectant functional sequence,and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.

提出了弱胎紧的概念，并在弱胎紧的条件下证明了函数序列关于弱收敛概率测度序列积分的极限定理，用其研究了期望泛函序列的若干收敛性，得到了期望泛函序列的、上图收敛的一个充分条件。

It should be pointed out that this necessary and sufficient condition isessentially one of the main results in author's doctoral thesis, but, here weonly need the weaker locally Lipschitz condition for both system vectorfield and control vector field.

另外，我们应该指出的是此充要条件本质上是作者博士论文中的主要结果之一，但本文中对系统向量和控制向量都只需要更弱的局部Lipschitz条件。

Under the conditions that the system without impulse effect satisfies the one-side Lipschitz condition, and the impulsive terms satisfy the corresponding Lipschitz conditions, a sufficient condition which can be easily checked the stability of the analytic solution is obtained.

在不受脉冲影响的原方程满足单边Lipschitz条件，及脉冲项满足相应的Lipschitz条件的情况下，给出了一个容易判别的解析解渐近稳定的充分条件。

In their paper, a necessary condition and a sufficient condition for a multipartite access structure to be ideal is obtained.

在EUROCRYPT' 07上，Farras等人研究了秘密共享方案中理想多部存取结构的特性。

By constructing proper Lyapunov functional, a sufficient condition and a necessary condition which the neutral item must satisfy when the modal is steady are given based on LMI technique and Lyapunov-Krasovskii stability theory.

通过构造合适的Lyapunov泛函，借助线性矩阵不等式的一些技巧以及Lyapunov-Krasovskii稳定性理论，给出了该神经网络模型稳定的充分条件，以及模型稳定时中立项所必须满足的必要条件。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。