必要条件

You have to be exposed to early musical training for the ability to materialise.

但是，有一个必要条件：具有这种天赋的人必须自幼便接受音乐训练，以使之成长为能力。

However, there is a crucial corollary ?? you have to be exposed to early musical training for the ability to materialise.

但是，有一个必要条件：具有这种天赋的人必须自幼便接受音乐训练，以使之成长为能力。

Based on the technique for unlimitedly generating the corresponding pairs of vertices,this condition is proved with the method of mathematical induction.

基于具有同构关系的对应点无限衍生技术，采用数学归纳法证明了这个充分必要条件的成立。

In chapter 4, we define the concept of q-element, and unify group invariant matrix, perfect sequence and q-element. We give their construction, necessary conditions and applications in the theory of difference sets.

在第四章中，我们提出了q-元的概念，并且整合了群不变矩阵、完美序列、q-元这三个概念，给出了它们的构造，它们存在的必要条件，及它们在差集理论中的应用。

At the same time, they proved that a multipartite matroid is representable if and only if the corresponding discrete polymatroid is representable.

他们的工作具有令人振奋的结果：通过研究多部拟阵和离散多拟阵之间的关系，他们得到了多部存取结构为理想存取结构的一个必要条件和一个充分条件，并且证明了一个多部拟阵是可表示的当且仅当其对应的离散多拟阵是可表示的。

A necessary and sufficient condition about the reducibility of central essential hyperplane arrangements is given:a central essential arrangement is irreducible if and only if the matroid is connected.

具体地，本文将对每一个超平面构形，构造一个拟阵，证明中心本质构形不可约的充分必要条件是对应的拟阵是连通的。

In this paper, we give the necessary and sufficient conditions of maximality andtriviality,corresponding to their capacity characterizations.

本文给出了整格极大性及平凡性的充分必要条件，表现为相应的基积特征。

The so-called maximum principle is the necessary condition for an optimal control, one of the most principal and most commonly used approaches when facing a optimal control problem.

最大值原理，即最优控制满足的必要条件，是处理最优控制问题时最重要也是最常用的方法之一。

This condition is much easier than that given by the Maximum principle in many cases.

最后，对于系统Lie代数为1或2幂零的情况下一类非线性最优控制问题，给出了解的必要条件。

It is a prerequisite to reinforce the building of health service system in community and countryside that the medico give medical and health services in community and countryside.

医学生服务社区农村，是加强社区农村卫生服务体系队伍建设的必要条件。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。