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。

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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。

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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。

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Good analysts are likely quite skilled at mathematical modeling, but it is a necessary and not sufficient condition for being a good analyst.

FORBES: What Makes Analytics Wizards So Good? They Do Everything Backwards

Money is a necessary but not a sufficient condition for the good life, for happiness and wisdom.

FORBES: How Much Happiness Can Money Buy?