这是一个重要的前提，也是充分必要条件。
It is the main precondition. It is both sufficient and prerequisite condition.
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。
A necessary and sufficient condition of the existence of prime model is proved.
讨论了子空间上一类矩阵反问题，得到了问题有解的充分必要条件及解的表达式。
In this paper, a class of inverse problem for matrices on subspace is studied.
然而，对于它的成功来说，这是一个必要条件，但不是充分条件。
Yet that is a necessary but not sufficient condition for its success.
就成为大学生而言，年满20岁是必要条件还是充分条件？
Is being 20 years old a necessary or sufficient condition for being a college student?
充分了解肢体语言是成功沟通的必要条件。
A good knowledge of body language is essential for successful communication.
阳光是玫瑰开花的必要条件还是充分条件？
Is sunlight a necessary or sufficient condition for the roses to bloom?
专业是就业的一个必要条件，不算是充分条件。
Professional employment is a necessary condition, not a sufficient condition.
专业是就业的一个必要条件，不算是充分条件。
Professional employment is a necessary condition, not a sufficient condition.
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