When morning came, he had established the existence of one class of Fuchsian functions. He had only to prove the results, which took only a few hours.

到了早晨，他已经确证了一类富克斯函数的存在。他只需去证明其结果，而这只需要几个小时即可以解决。

As a contrast, we may consider a famous story: the discovery by Henri Poincare, the great French mathematician, of a new mathematical method called the Fuchsian functions.

作为对照，我们可以举一个有名的事例，即法国伟大的数学家亨利? 庞加莱发现被称为富克斯函数的数学新方法的故事。