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单词 Necessary and sufficient conditions
释义

Necessary and sufficient conditions

英语例句库

A series of the necessary and Sufficient conditions of the diagonalizable orthogonaltransformation and orthogonal matrix is given.

获得了一种求可对角化正文矩阵的特征向量的简便方法。

In this paper, the limit is broken through and a more general necessary and sufficient condition for schedulability is proposed.

突破这一限制，提出了更具一般性的可调度性分析判定充要条件。

The necessary and sufficient conditions of similarity of two idempotent matrices are proved, the idempotency of linear combinations of two idempotent matrices is discussed.

摘要证明了数域上两个同阶幂等阵相似的充要条件是它们有相同的秩；给出了幂等阵的相似标准型；讨论了两个幂等阵的线性组合仍是幂等阵的充要条件。

中文百科

充分必要条件 Necessity and sufficiency

（重定向自Necessary and sufficient conditions）

充分及必要条件（sufficient and necessary condition）简称「充要条件」。

在逻辑学中：

因此：

英语百科

Necessity and sufficiency 充分必要条件

（重定向自Necessary and sufficient conditions）
The sun being above the horizon is a necessary condition for direct sunlight; but it is not a sufficient condition as something else may be casting a shadow, e.g. in the case of an eclipse.
That a train runs on schedule can be a sufficient condition for arriving on time (if one boards the train and it departs on time, then one will arrive on time); but it is not always a necessary condition, since there are other ways to travel (if the train does not run to time, one could still arrive on time through other means of transport).
Consider two logical statements S and N, such that S is sufficient for N (if S is true, then N must also be true). Figuratively, if we are within S then we are within N. It follows that S cannot be true unless N is true – i.e., that N is a necessary condition for S.
Dass ein Korb da ist, ist eine notwendige Bedingung, um Basketball spielen zu können – ohne ihn geht es nicht.

In logic, necessity and sufficiency are implicational relationships between statements. The assertion that one statement is a necessary and sufficient condition of another means that the former statement is true if and only if the latter is true. That is, the two statements must be either simultaneously true or simultaneously false. In ordinary English, 'necessary' and 'sufficient' indicate relations between conditions or states of affairs, not statements. Being a male sibling is a necessary and sufficient condition for being a brother. Fred's being a male sibling is necessary and sufficient for the truth of the statement that Fred is a brother.
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更新时间：2025/6/23 23:33:13