单值定理的英文：
uniqueness theorem

The beauty of Dunhuang is unique in the world.
敦煌的美在世界上是独一无二的。

Because it undermine the uniqueness of humanity.
因为它摧毁了人类的独特性。

His cello technique is unique.
他的大提琴（演奏）技巧是独一无二的。

The custom is unique to the region.
这种风俗是这一地区特有的。

Each datum has a unique key.
每个数据都有一个独特的键。

The theorem may be explained as follows.
这条原理可以这样来阐述。

As a particular of Rado's theorem and the compactness theorem one obtains the following result
作为Rado定理和紧致性定理的一种特殊情形，我们得到下面的结果。

In his book he gave definitions and theorems but no proofs
在他的书中他给出定义和定理但无证明。

All this leads up to the most fundamental of theorems of calculus.
综上所述就导出了微积分学中的最基本的定理。

The assertion is known as the closed graph theorem for Hilbert spaces.
这个断语被称为希耳伯特空间的闭图象定理。