surjection

[美國]/sɜːˈdʒɛkʃən/
[英國]/sɜrˈdʒɛkʃən/

中文釋義

n.滿射,即一個函數將一個集合的每個元素映射到另一個集合的每個元素

短語搭配

surjection function

滿射函數

surjection mapping

滿射映射

surjection property

滿射性質

surjection example

滿射示例

surjection theorem

滿射定理

surjection proof

滿射證明

surjection set

滿射集合

surjection relation

滿射關係

surjection criteria

滿射標準

surjection concept

滿射概念

例句

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

在數學中,滿射是一個覆蓋所有餘域元素的函數。

understanding surjection is crucial for advanced algebra.

理解滿射對高級代數至關重要。

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

滿射確保每個輸出至少與一個輸入配對。

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

在集合論中,可以通過映射圖來可視化滿射。

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

許多現實世界的應用依賴於滿射的概念來建模關係。

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

要證明一個函數是滿射,必須展示餘域中的每個元素都有映射。

surjection is often discussed alongside injection and bijection in mathematics.

在數學中,滿射通常與單射和雙射一起討論。

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

在組合數學中,找到兩個集合之間的滿射可能是一個具有挑戰性的問題。

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

從整數到偶數的滿射是一個不是單射的函數的例子。

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

在拓撲學中,滿射在理解連續函數方面起着作用。

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