After this experience it took no end of proof before I could bring myself to put my trust in children of previous births.
在这次经历之后，又经历了大量的考验，我才使自己相信前世的孩子。
Resources are finite, and the best argument for winning new funding for a cause is proof that previous funds have been spent wisely.
资源是有限的，之前的资金花费取得的成效就是启动新资金用于这项事业的最好证明。
Context: Euclid's proof of the Pythagorean theorem made use of the previous proven theorem known as Proposition 41.
上下文：欧几里得关于毕德哥拉斯定理的证明利用了前已证明的命题41。
They fully acknowledge Perelman's role in the completion of the proof of Poincare conjecture and likewise Perelman has acknowledged the work of previous researchers on which it's based.
曹怀东与朱熹平的文章中充分肯定了佩雷尔曼的工作对于证明庞加莱猜测所起的重要作用，同样，佩雷尔曼在文章中也明确指出他的工作是建构于前人的众多贡献基础上的。
They fully acknowledge Perelman's role in the completion of the proof of Poincare conjecture and likewise Perelman has acknowledged the work of previous researchers on which it's based.
曹怀东与朱熹平的文章中充分肯定了佩雷尔曼的工作对于证明庞加莱猜测所起的重要作用，同样，佩雷尔曼在文章中也明确指出他的工作是建构于前人的众多贡献基础上的。
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