查询词典 necessary and sufficient conditions

Further, the sufficient and necessary conditions of fault detectability in the principal component space and residual space are presented respectively.

采用故障临界幅值的概念对故障在MPCA下的被检测行为进行了分析，并给出了一种新的主元确定方法。

The third part is the judge method and its improvement method of a piece matrix is a diagonally dominant matrix: By using the Schur repair property of matrices, gives the sufficient and necessary conditions to judge a piece matrix be a diagonally dominant matrix.

第三部分为分块广义严格对角占优矩阵的判定方法及其改进：利用矩阵Schur补的性质，给出判定分块广义严格对角占优矩阵的充要条件，并利用逐次降阶的方法，使一个任意阶矩阵A逐次降为只需要利用定义判定一个矩阵是否满足要求，从而判定A是否是广义严格对角占优矩阵。

Finally, sufficient and necessary conditions for endomorphism rings of some special modules to be semi-π-regular are given.

最后，我们对半π正则环作了一定的研究，给出了一个直投射模的自同态环是半π正则环的充要条件。

We obtain some sufficient and necessary function conditions for entailment with special properties such as transition and interpolation.

借助函数工具，我们揭示传递律、插入律、way below关系、蕴含一致性等的蕴含函数的充分必要条件。

Results The equivalent matrix equation is derived by the matrix transformation method.The parameter iterative algorithm and the sufficient and necessary conditions for the convergence are given.

结果基于矩阵变换方法导出了矩阵方程的等价形式，并构造出参数迭代格式，得到了格式收敛的充要条件。

Many sufficient and necessary conditions for a finite group to be solvable are given, which generalize some known results.

另一方面，我们研究了Sylow-子群的某些特殊子群的半覆盖远离性对有限群结构的影响，给出了一些有限群为p-幂零和超可解的充分条件。

By the upper-lower solution method, we obtain the sufficient and necessary conditions on the global existence of solutions.

在第一部分中，我们考虑有界区域上拟线性抛物方程和方程组的整体存在性和不存在性，也即，爆破。

Recently, many researchers argued that the Holomorphic function on the unit disc and the unit ball belongs to the sufficient and necessary conditions of Bloch space β.

目前，国内外许多分析数学的研究者们已证明了单位园上及单位球上的一个全纯函数属于Bloch空间β的充要条件。

The sufficient and necessary conditions of complete moment convergence for sequence of identically distributedρ-mixing random variables are obtained, which extent and generalize the well-known results.

获得了同分布ρ混合序列的矩完全收敛性成立的充分必要性条件，推广和改进了已有的结果。

In chapter three, we first give the definition of quadratic automata (3. 6 definition), then study their invertibility. 3. 10 theorem gives a sufficient and necessary conditions for weak inverse quadratic form finite automata, and a way to find the one whose weak inverse is quadratic form finite automata.

第三章首先构造了二次型有限自动机类（3.6定义），研究其上的可逆性理论。3.10定理给出了弱逆二次型有限自动机的充要条件及弱原逆的求法、3.12定理则给出了弱可逆二次型有限自动机的充要条件及弱逆的求法。

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。