查询词典 sufficient condition

From the principle of equilibrium, a theorem of necessary and sufficient condition without loss of any working parts in the transfer lines is given, which can help us' to solve the problem and obtain the accurate result.

但这样组成的大系统存在生产线的畅通、生产率的协调等问题，给系统可靠性与优化设计造成了很大的困难，长期以来没有得到很好的解决。

Also, the paper gives a sufficient and necessary condition for a knot being equivalent to a trivial knot.

给出一个纽结等价於平凡纽结的充要条件。

Based on it, another sufficient condition on asymptotic stability undering the meaning of Lyapunov's is obtained via the method of equivalent transformation and equivalent system.

在此条件基础上，利用等价变换和等价系统的方法，得到了该闭环系统Lyapunov意义下渐近稳定的充分条件。

I Under the general linear model with normal error vector and under convex or matrix losses, the necessary and sufficient condition for there to be UMRU estimators of any linear estimable function SXβ of regression coefficients are obtained.

i在误差向量遵从正态分布，在凸损失或矩阵损失下，得到了回归系数的可估线性函数SXβ的UMRU估计存在的充分必要条件。

This is not a sufficient condition for eventual recovery. But it is a first and necessary one.

这并非经济最终复苏的充分条件，但却是先决和必要条件之一。

Then using Positive definite quadratic theory to prove a sufficient condition of Multivariate function's extreme value problem and show some examples about it.

而后利用正定二次型理论，证明了多元函数条件极值的一个充分条件，并给出了其应用的例子。

An sufficient condition under which the exact F test is uniformly most powerful unbiased test is discussed.

对于给出的精确的F检验给出检验存在条件以及是一致最优无偏检验的条件。

We present concrete mathematical expressions concerning relationships of P, I, J and R, a sufficient and necessary condition of J = 0, and relationships among transitivity, negative transitivity, semitransitivity, Ferrers properties between R and P and I with W as the t-norm.

主要包括P，I，J，R之间关系的具体表现、J=φ的充要条件，在W_φ意义下，R的传递性、负传递性、半传递性、Ferrers性质与P，I的相关性质之间的联系，得到了与普通情形下相平行的一些结果。

Using the method of approximating the Lipschitz functions by the convex functions, we give a sufficient condition for the set where Lipschitz functions on a Hilbert space are Frechet differentiable is a residual set.

我们利用Lipschitz函数空间中凸函数的逼近性质来分析Lipschitz函数的微分性质，得到Hilbert空间上Lipschitz函数的Frechet可微点集是剩余集的一个充分条件，以标题"Lipschitz函数与凸函数之间的一些联系"在中国科学杂志上发表。

In addition, for a class of first-order predicate expression namely first-order predicate expression without free variable and with one quantifier, a necessary and sufficient condition for such first-order predicate expressions to be equivalent and a corresponding judging algorithm are come up with.

另外，对于一阶谓词公式的一个常见子类——无自由变元单量词的一阶谓词公式，提出了一个判定这种一阶谓词公式等价性的充分必要条件和判定算法。

Cable dampener cannot be rolled up but must be hung over the cable.

缆帆不能被卷起，必须保证处于展开状态

"This skylark is a present from my master," he says.

"这只云雀是我主人献上的礼物。"他说。