Formulas giving the activities of components in slags viewed a ternary system which fits the regular ionic solution model deduced from the ionic theory of slags, are derived in detail.
本文根据熔渣离子理论的正规离子熔液模型要点，基于一般三元系，对正规离子熔液模型渣的组元活度计算公式进行了详细推导。
Movable equation of the inverted pendulum is derived, according to the dynamics analysis method of Lagrange. By system feasible approximation, an easily analytical math model is deduced.
基于拉格朗日动力学分析方法，推导出倒立摆的运动方程，在对系统进行可行的近似化处理后，得出了便于分析的数学模型。
Under the first-order approximation of Taylor expansion, the analytic expression for the defect mode frequency is derived, from which the coupling factor is deduced.
利用泰勒展式的一级近似，得到了缺陷模频率的解析表达式，进而得到紧束缚理论中的耦合因子。
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