【Key words】 mathematical conception； mathematical understanding； acute-angle-trigonometric function； history of mathematics； combination of numbers and graphics；
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The major purpose of this paper is to establish a precise mathematical conception of similarity relation.
本文的主要目的是确立相似关系的准确数学概念。
This paper describes the conception, principle, derivation of mathematical expression concerned and the calculation method of modified proportional factor method.
本文叙述修正比例常数法的概念、原理、有关数学表达式的推导及计算方法。
From the conception of X ray diffraction of electrons in an atom, the mathematical expression of X ray diffraction for an atom in a crystal cell is given.
从原子中的电子对X光散射的概念出发，对任意一个晶胞内的任意一个原子产生的X光衍射给出了具体的数学描述。
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