本文首次用拓扑空间向量组合的方法,导出了包含四个群子参数的非线性方程,并模拟了有一个极小值或有一个极大值,同时有一个极大极小值的曲线。本文在此基础上又导出了另一种四参数群子统计方程,模拟了同时有两个极大值、一个极小值及两个边界值的复杂曲线,从而为处理各种二元体系的物理量随自变量而变化的复杂曲线,提供了理论依据。 In this paper, we first use the method of topological space vector combination to derive a nonlinear equation containing four group parameters and simulate a curve with a minimum value or a maximum value and a maximum minimum value. Based on this, another four-parameter group statistical equation is derived, which simulates a complex curve with two maxima, one minima and two boundary values. In order to deal with various binary systems The complex curve that the physical quantity changes with the independent variable provides the theoretical basis.