1.Graham's number is the largest number that has been used in a serious mathematical proof.
格雷厄姆系数是一个在严谨的数学证明中被用到的最大的数值。
2.Unlike a mathematical proof, a scientific theory is empirical, and is always open to falsification, if new evidence is presented.
不同数学证明，科学理论是经验，是始终开放，伪造，如果提出新的证据。
3.reduction to absurdity is an important mathematical proof, and its analysis, synthesis, has a long history, applications are very wide.
反证法是一种重要的数学证明方法，它和分析法、综合法一样，有着悠久的历史，应用也相当广泛。
4.The Hindus and Arabs were aware of the totally new concept of mathematical proof promulgated by the Greeks.
印度人和阿拉伯人懂得希腊人所揭示的对于数学证明的那种全然新颖的想法。
5.The election results contain a mathematical proof of the tally that cannot be "faked" even with the use of powerful computers.
从数学的角度上可以证明选票结果是无法“伪造”的，即使使用性能强劲的电脑。
6.A mathematical proof should resemble a simple and clear-cut constellation, not a scattered cluster in the Milky Way.
数学证明应该如同简单而清晰的星座，而不是银河中散乱的星簇。
7.But until someone provides a sound mathematical proof, the validity of the assumption remains open to question.
但直到有人找到一种可信的数学证明之前，这样的结论正确与否依然有待商榷。
8.Indeed, the authors offer a mathematical proof of this in their paper.
实际上，作者在其论文中提供了有关于此的数学证明。
9.Mathematical Proof of Selecting Principles of Rough Reference and Its Extensive Application
粗基准选择原则的数学证明及扩展应用
10.The Mathematical Proof of the Superiority of Collective Decision by Board of Directors to Inpidual Decision by Main Operator
董事会集体决策优于主要经营者一人决策的数学论证