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。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。