bijection是什么意思 bijection的读音、翻译、用法

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'bijection'是英语词汇,中文翻译为“双射”。在数学中,双射指的是一种特定的映射关系,即函数的一个类型,每个元素都唯一地对应于另一个元素。它也被称为一一对应或双向一一映射,其中每个元素都有一个与之对应的唯一元素。

以下是9个含有'bijection'的例句:

1. One-to-one correspondence is another term for bijection.(一一对应是bijection的另一个术语。)

2. A bijection is both injective and surjective.(双射既是单射也是满射。)

3. In set theory, a bijection is a function that maps one set onto another set.(在集合论中,双射是将一个集合映射到另一个集合的函数。)

4. The proof of a bijection requires showing that the function is both injective and surjective.(证明一个双射需要证明这个函数既是单射又是满射。)

5. The inverse of a bijection is also a bijection.(双射的反函数也是双射。)

6. A simple example of a bijection is the identity function on a set.(一个简单的双射的例子是在一个集合上的恒等函数。)

7. Composing two bijections results in another bijection.(组合两个双射将导致另一个双射。)

8. The concept of bijection is important in many areas of mathematics, including topology and algebra.(双射的概念在许多数学领域,包括拓扑学和代数学中很重要。)

9. A bijection can be used to construct a one-to-one correspondence between two sets.(双射可以用来构建两个集合之间的一一对应关系。)

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