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
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。
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
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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