数学表达式的逻辑关系自动检测算法及其在物理实验中的应用

Automatic Detection Algorithm on Logic Relationship between Mathematical Expressions and its Application in Physical Experiment

提出一种复合函数与子函数的自动检测与排序算法,算法分析与实验结果表明,变量提取算法仅对数学表达式进行一次扫描就可提取出其中的因变量与所有的自变量,树型分层算法不仅可获得每一个树节点或树叶的树路径信息,而且还符合数学表达式之间逻辑排序的要求。

An automatic detection and sequencing algorithms on composite function and sub-function are put forward.The algorithm analysis and experimental results show that the variable extraction algorithm can extract the dependent variable and all independent variables in one mathematical expression through scanning the expression only one time,the tree-based layering algorithm not only can obtain the tree paths of every nodes or leaves,but also meet the requirement of logical sequencing between mathematical expressions.