注：这些是在数学领域中有大量文献记载的概念，经过充分的研究和严格的定义。

Note: these are well documented concepts in mathematics that have been well studied and rigorously defined.

youdao

也许，有一种并不十分严谨的证明，用严格定义的数学概念来支持这样的论点，那就是一个个体，可以实现显著，甚至是深远的变革。

Perhaps there is anecdotal evidence, using rigorously defined mathematical concepts, to build the premise that a single individual can manifest the significant, to even profound, change they desire.

youdao

康德制定了更为严格的定义，来解释自由这个概念。

Kant has a more stringent demanding notion of what it means to be free.

youdao