bijection

[US]/baɪˈdʒɛktʃən/
[UK]/baiˈdʒɛkʃən/
Frequency: Very High

Translation

n.雙射,即一個函數既是單射又是滿射的函數,它將域中的每個元素映射到餘域中的唯一元素,反之亦然。

Phrases & Collocations

bijection between sets

集合之間的雙射

one-to-one correspondence bijection

一對一對應關係的雙射

establish a bijection

建立雙射關係

invertible bijection

可逆雙射

perfect bijection

完美的雙射

unique bijection

唯一的雙射

bijection between domains

域之間的雙射

Example Sentences

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

自然數集合與偶數集合之間存在雙射。

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

在數學中,雙射是一種特殊的函數。

understanding bijections is crucial for studying advanced algebra.

理解雙射對學習高級代數至關重要。

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

雙射的概念有助於建立一對一的對應關係。

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

每個雙射都有一個也是雙射的逆函數。

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

在集合論中,雙射表明兩個集合具有相同的基數。

the bijection between these two groups simplifies the problem significantly.

這兩個羣體之間的雙射顯著簡化了問題。

finding a bijection can be challenging in complex mathematical structures.

在複雜的數學結構中,尋找雙射可能很具挑戰性。

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

我們可以使用雙射來證明兩個不同證明的等價性。

the bijection principle is often used in combinatorial proofs.

雙射原理常用於組合證明中。

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