In this paper, the relation between modul and modul in programming is set forth by using the concept and theory of mathematical set and mapping.

本文用数学集合与映射的概念和理论阐述了程序设计中模块与模块之间的关系；

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Using the thought of mathematical set, this paper is intended to carry out a study into the algorithms for vertex coloration. Therefore, a simple algorithm can be found out.

利用集合的思想对顶点着色算法进行研究，得到一种简洁的顶点着色算法。

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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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Willard Quine's early work was in the field of mathematical logic and set theory, the subject of half a dozen of his 23 books.

ECONOMIST: Willard Quine

To do so, astronomers resort to Fourier analysis, a mathematical technique that allows them to break a complex curve into a set of simple ones called sine waves.

ECONOMIST: Extrasolar planets