We derived a set of mathematical formulas for describing the third-order nonlinear optical process in polydiacetylene crystals.

我们建立了一套描述聚丁二炔晶体中的三阶非线性光学过程的数学公式。

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The similarity with earthquakes intrigued him and he wondered if the mathematical formulas that seismologists employ to predict aftershocks were applicable to aftercrimes, too.

这种和地震的相似性激起了他的兴趣，于是他想，如果地震学家应用的预测余震的数学公式应用到犯罪后效应中，又会如何呢？

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Wolfram Alpha does not return the usual list of links to pages with search keywords, instead providing answers to questions such as stock prices and complex mathematical formulas - with mixed results.

Wolfram Alpha返回的不是指向含有关键字页面的链接列表，而是返回诸如股票价格和复杂数学公式等问题的答案——结果不一。

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So how would we go about solving this problem if I told you not only was there a maximum weight, but there was a maximum volume. Well, we want to go back and attack it exactly the way we attacked it the first time, which was write some mathematical formulas.

有些时候两个都重要,所以如果我告诉你这里不仅有,最大重量还有最大容量，我们应该怎么解决这个问题呢？,好了，我们想回过来然后,和第一次一样看看这个问题。

麻省理工公开课 - 计算机科学及编程导论课程节选

For example, Monte Carlo analysis is used for solving complex problems where mathematical formulas typically fall short.

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These are not mathematical formulas, but they describe what happens as truly as the most logical of the quantitative sciences.

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There are mathematical formulas that can help you figure this out based on your age, height, sex, weight and activity level.

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