bijection

[美]/baɪˈdʒɛktʃən/
[英]/baiˈdʒɛkʃən/
词频: 极高

释义

n.双射,即一个函数既是单射又是满射的函数,它将域中的每个元素映射到余域中的唯一元素,反之亦然。

短语搭配

bijection between sets

集合之间的双射

one-to-one correspondence bijection

一对一对应关系的双射

establish a bijection

建立双射关系

invertible bijection

可逆双射

perfect bijection

完美的双射

unique bijection

唯一的双射

bijection between domains

域之间的双射

例句

a bijection exists between the set of natural numbers and the set of even numbers.

自然数集合与偶数集合之间存在双射。

in mathematics, a bijection is a special kind of function.

在数学中,双射是一种特殊的函数。

understanding bijections is crucial for studying advanced algebra.

理解双射对学习高级代数至关重要。

the concept of bijection helps in establishing one-to-one correspondences.

双射的概念有助于建立一对一的对应关系。

every bijection has an inverse function that is also a bijection.

每个双射都有一个也是双射的逆函数。

in set theory, a bijection indicates that two sets have the same cardinality.

在集合论中,双射表明两个集合具有相同的基数。

the bijection between these two groups simplifies the problem significantly.

这两个群体之间的双射显著简化了问题。

finding a bijection can be challenging in complex mathematical structures.

在复杂的数学结构中,寻找双射可能很具挑战性。

we can use a bijection to demonstrate the equivalence of two different proofs.

我们可以使用双射来证明两个不同证明的等价性。

the bijection principle is often used in combinatorial proofs.

双射原理常用于组合证明中。

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