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We investigate the centralizer of an arbitrary element of a Lie algebra of type L and obtain a sufficient condition for a Lie algebra of type L being semisimple.

在李代数方面，我们研究了L-型李代数中任一元素的中心化子，给出了L-型代数为半单代数的充分条件。

By using generalized inverse of matrix,the sufficient condition of "pole assignment theorem"is proved;and the general expression containing arbitrary parameter is obtained for the feedback of gain matrix.

该方法利用矩阵广义逆理论，证明极点配置定理的充分性条件，并得到反馈增益矩阵的一个含有任意参数的一般表达式。

Having read the book is not sufficient to be considered an archaeologist.

阅读此书并非成为一个考古学家的充分条件。

This paper gives necessary and sufficient conditions for the semidirect product of two semigroups to be completely Archimedean semigroups.

给出了两个半群的半直积是完全阿基米德半群的充要条件。

It is developed based on the sufficient analysis and the systemic argumentation of the games management system.

在对运动会管理体系进行充分分析和系统论证的基础上开发。

Virtues in Aristotelian theoretical tradition are the necessary and sufficient conditions.

亚氏意义上的德性是这种实践的充要条件。

The enzyme armoury is sufficient to degrade most proteins to small peptides and amino acids.

这一酶库足以将大多数蛋白质降解成短肽和氨基酸。

First you arrange items into different groups. Of course one pile may be sufficient depending on how much there is to do.

首先把项目分成不同的组；当然一堆可能也就够了，这取决于有多少要做。

ASEITY: GOD IS SELF-SUFFICIENT, NOT CORRELATIVE

上帝是自足的，不是相互依存的

The Askari showed them how to live off the land, how to make their own clothing, medicine, and how to procure sufficient food.

民兵指导他们如何在这片土地上生存，如何制作衣服、药品，和如何获得足够的食物。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷