查询词典 necessary and sufficient conditions

Unmarriedness and maleness are each individually necessary conditions for bachelorhood; together, these criteria represent a sufficient condition for bachelorhood.

未婚状态和男人身份，各自是单身汉身份的必要条件；放在一起，这两个条件就是单身汉身份的充分条件。

We have also found the sufficient and necessary conditions for the solvability of the above boundary value problem.

本文将在文[2]所建立的方程(1)的广义解一般表达式的基础上，讨论边界条件更为一般的斜微商问题，建立这一问题的解的表达式、问题的指标同解

A discussion is made of the continuously sufficient and necessary conditions of the bounded variation fon the closed interval in the paper.

讨论了有界变差数 f在闭区间上连续的充要条件以及函数 f在闭区间上有有界变差的充要条件。

In this thesis,we first obtain some sufficient and necessary conditions aboutnormal connected Cayley digraphs,using properties of so called alternating circuit.

本文中，我们首先应用所谓交错回路的性质得到了连通Cayley有向图正规的一些充分的和必要的条件。

In the preceding example, womanhood and the right royal lineage are each individually necessary conditions for princesshood and conjointly they comprise a sufficient condition for princesshood.

在这个例子中，女人身份和合法的皇家血统，各自是公主身份的必要条件，合起来就构成公主身份的充分条件。

We will call the construction a crossed product. The results about the sufficient and necessary conditions for A#H, the smash product, to have finite global homological dimension have been discussed in ~WYZ. which will be extended to crossed prodcut A#a.

关于smash积有有限整体同调维数的充分必要条件这一结果在中已有了一定的讨论，本文主要是将关于smash积的这一结果推广到crossed积。

Using the knowledge related to multivalued analysis, we get the sufficient and necessary conditions for a decomposable set having inner points in L∞.

利用集值分析的相关知识，我们得出了L∞中可分解集含有内点的充分必要条件。

The sufficient and necessary conditions of positive definitiveness of a covariance matrix from multivariate discrete data are obtained.

本论文通过引入p-向量配、I-线性组合及它们的性质，研究离散型样本协方差矩阵的正定性问题。

Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the Julia set, the relative random dynamical system is constructed by some high degree polynomial. In addition, it discuss the Mandelbrot set of a kind of polynomial.

本文的第二章主要研究多个函数的特定迭代序列，讨论了高次多项式的随机复动力系统的Julia集的连通的充分必要条件以及稠密性问题，同时还讨论了一类多项式函数的Mandelbrot集。

By using the theory of linear algebra and that of groups,some sufficient and necessary conditions of isomorphic relation systems were found, and the degrees of the groups of these isomorphisms were obtained.

将线性代数及群论的有关知识应用到关系系统上，得到了两个关系系统同构的一些充要条件，并计算出这些同构所作成的群的阶数。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。