Analyze requirements to ensure that they are necessary and sufficient.
分析需求以确认需求是必须和充分的。
What are the necessary and sufficient conditions for the category BIRD?
什么是必要的和足够的条件，种类鸟？
A necessary and sufficient condition of the existence of prime model is proved.
研究了主型的有关性质，证明了一个素模型存在的充分必要条件。
Results Necessary and sufficient conditions for a frame to be redundant are given.
结果经过研究得出了框架冗余的充分必要条件。
In this paper we give a necessary and sufficient condition on diagonalization matrix.
本文给出矩阵可对角化的一个充要条件。
Thus the necessary and sufficient conditions of weak controllability can be obtained.
对称性分析中，取得了状态转移局部对称性的充要条件。
So we cannot expect to find necessary and sufficient conditions for an interesting topic.
所以，我们不能期望为有趣的论题找到必需和充分的条件。
It proceeds by breaking concepts down into their necessary and sufficient conditions for application.
这个方法的开展，是借助于把概念拆分成恰当使用这个概念的必要条件和充分条件。
In this note, a necessary and sufficient condition of diagonalization for square matrix is considering.
方阵是否可以对角化，是矩阵的一条很重要的性质。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
The question as to whether binarity is a necessary and sufficient condition to produce barium star is addressed.
讨论了双星是否是产生钡星的必要和充分条件，因为已知道的钡星系统全是双星。
Finally, optimality necessary and sufficient conditions for nonlinear convex semidefinite programming are proved.
并给出了非线性半定规划的最优性必要和充分条件。
A necessary and sufficient condition for an ideal of an integral table algebra being self-orthogonal is obtained.
本文给出了整表代数的单边理想是自正交理想的必要充分条件。
In this section, we also establish a necessary and sufficient condition for the algorithm of the mixed scheduling.
在这一部分里，我们同样得到了一个任务集可以用混合调度算法调度的一个充分必要条件。
We present a necessary and sufficient conditions of homogeneous linearity equations existing all-nonzero solution.
给出了一个判定齐次线性方程组存在全非零解的充分必要条件。
Attempted analyses of concepts in terms of necessary and sufficient conditions, even where they fail, abet discovery.
试图从必要条件和充分条件的角度来分析概念，即便失败了，也能有所发现。
In this paper, We give a necessary and sufficient condition that closed decomposable operator, is strongly decomposable.
本文给出了封闭可分解算子是强可分解的一个充分必要条件。
A necessary and sufficient condition for an inner set space with three critical sets which can be weighted is also given.
给出了具有三个临界集的内集空间可以赋权的一个充分和必要条件。
They will have to work hard to determine for themselves the extent of load necessary and sufficient to succeed in business.
他们不得不努力自己决定必要的工作强度以便在生意上取得成功。
In this paper, some necessary and sufficient condition about the equivalence of two column vector groups has been discussed.
本文论述了两列向量组等价的一些充分必要条件，并应用泛函分析的理论进行分析。
This paper first gives out definition of receipt-freeness, and prove necessary and sufficient condition of receipt-freeness.
给出无收据性的定义，并证明满足无收据性的充分必要条件。
Finally, the necessary and sufficient condition is shown for similarity and consimilarity of matrices over quaternion field.
同时得到一些关于四元数矩阵的性质，以及体上矩阵相似和合相似的充要条件。
A few good necessary and sufficient conditions are given by using length relation for symmetrical transformation on Euclidean space.
利用长度关系给出了欧氏空间的变换为对称变换的若干个充要条件。
In this short poper, the regularizability of descriptor decentralized systems is studied and a necessary and sufficient condition is given.
本文主要研究了广义分散控制系统的正则性，并给出了可以正则化的一个充要条件。
This article was to offer necessary and sufficient condition and application of conjugate differentiable complex function in complex system.
给出了复形式的复变函数的共轭可微性充要条件的证明及其重要应用。
In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.
在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。
There will also be a large number of proposed analyses of the concept of an artwork, articulated in terms of necessary and sufficient conditions.
也有理论家提出的许多关于艺术品这个概念的分析，是以必要条件和充分条件这种方式得到陈述的。
The relation between regressive independence and random independence is discussed, and several necessary and sufficient conditions are presented.
本文讨论了回归独立性与随机独立性之间的关系，得到了两者等价的几个充分必要条件。
Then, the latter necessary and sufficient condition is generalized to the case for the two different point ranges of degenerate second order curve.
然后，再将非退化二阶曲线到自身的双射为对合的充要条件推广到退化二阶曲线两相异点列的情形。
Then, the latter necessary and sufficient condition is generalized to the case for the two different point ranges of degenerate second order curve.
然后，再将非退化二阶曲线到自身的双射为对合的充要条件推广到退化二阶曲线两相异点列的情形。
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