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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Mathematical formulas are distributed, improved, redistributed.

数学公式散布、改进、再散布。

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Many mathematical formulas have suggested it is the best, least wasteful way to design a distribution network.

许多数学公式表明用这种方法来建设配电网，最好且利用率最高。

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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。

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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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