surjection

[美]/sɜːˈdʒɛkʃən/
[英]/sɜrˈdʒɛkʃən/

释义

n.满射,即一个函数将一个集合的每个元素映射到另一个集合的每个元素

短语搭配

surjection function

满射函数

surjection mapping

满射映射

surjection property

满射性质

surjection example

满射示例

surjection theorem

满射定理

surjection proof

满射证明

surjection set

满射集合

surjection relation

满射关系

surjection criteria

满射标准

surjection concept

满射概念

例句

in mathematics, a surjection is a function that covers every element in the codomain.

在数学中,满射是一个覆盖所有余域元素的函数。

understanding surjection is crucial for advanced algebra.

理解满射对高级代数至关重要。

a surjection ensures that every output is paired with at least one input.

满射确保每个输出至少与一个输入配对。

in set theory, a surjection can be visualized through a mapping diagram.

在集合论中,可以通过映射图来可视化满射。

many real-world applications rely on the concept of surjection in modeling relationships.

许多现实世界的应用依赖于满射的概念来建模关系。

to prove that a function is a surjection, you must show that every element in the codomain is mapped.

要证明一个函数是满射,必须展示余域中的每个元素都有映射。

surjection is often discussed alongside injection and bijection in mathematics.

在数学中,满射通常与单射和双射一起讨论。

finding a surjection between two sets can be a challenging problem in combinatorics.

在组合数学中,找到两个集合之间的满射可能是一个具有挑战性的问题。

the surjection from integers to even numbers is an example of a function that is not injective.

从整数到偶数的满射是一个不是单射的函数的例子。

in topology, surjection plays a role in understanding continuous functions.

在拓扑学中,满射在理解连续函数方面起着作用。

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