必要条件

We studied the properties of the projective cone in tensor vector space defined by Barker.

给出了张量空间中射影锥可分解的充分必要条件，并由此可得出有限维实空间中真正锥可分解的已有结论。

It is known that Protestantism and science humanism are the necessary condition of establishment and development of capitalism.

新教和科学人文主义是资本主义得以确立和发展的必要条件，而印刷出版业在新教和科学人文主义的传播和发展中起着重要的作用，且印刷出版业对资本主义初期发展有间接的协助关系。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

This is both the aim of reform and the sine qua non of a sound performance of the reform.

这是改革的出发点，也是改革顺利进行的必要条件。

Thus, whatever medical humanities is, it's not a sine qua non for professional formation.

所以，无论医学人文是什么，它并不是往医学专业发展的必要条件。

He soon found that freedom from fear of arrest was not the sine qua non of his existence.

他很快就发现，消除对被捕的恐惧，并不是他生存的必要条件。

Agreement by the management is a sine qua non of all employment contract .

管理部门的同意就是所有雇用合同的必要条件。

How to make positive self-evaluations which is a condition sine qua non for the positive evaluation of the child.

如何进行积极的自我评价，这是积极评价孩子的必要条件。

PRINCIPLE ONE: A Good Partner is the sine qua non of Success.

一个原则：一个好的合作伙伴是成功的必要条件。

Education, it was believed, was the sine qua non to achieve progress and to unify the nations.

教育被认为是进步和国家统一的必要条件。

The X-ray diffract was used to analyze the crystal structure of the composite. Results show that after the talc was treated with blend coupling agent, the crystal structure of talc changed, and effect Intercalation phenomenon.

通过X射线衍射分析可知，用混合偶联剂对滑石粉进行预处理后，滑石粉晶体结构发生改变，产生了插层现象，使PP／滑石粉复合材料为纳米复合材料。

An authentic Maui wedding might require the services of a 'kahu', which is a Hawaiian minister.

毛伊可能需要一个真实婚礼服务'kahu'，这是夏威夷部长。