A few good necessary and sufficient conditions are given by using inner product and length relation for antisymmetric transformation on Euclidean space.

借助内积与长度与夹角给出了欧氏空间的变换是反对称变换的若干个充要条件。

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The definition of relation, relations properties about to reflexive and irreflexive, symmetric and antisymmetric and transitive, and its application in computer science has been recited.

介绍了关系的定义、关系的自反性和反自反性、对称性和反对称性、传递性五条性质，及其在计算机领域中的应用。

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