弹性函数的几何机理

The Geometric Principle About Elastic Function

弹性函数是研究当自变量有微弱变化时,函数的相对变化率。文章构造一条初始弹性直线,从几何的角度分析,弹性函数就是函数的切线斜率与初始弹性直线斜率之比;也是函数在弹性支点的微分与初始弹性直线在弹性支点的增量之比。在修订参考文献[1]的基础上,着重对几何机理进行分析。

Elastic function is the research into the relative change rate of the function where the independent variable has a slight change. This paper constructs an initial elastic straight line based on geometry analysis. The elastic function is the ratio between the tangent slop of the function and the initial straight line slope. And is also the ratio between the differential of the function at the elastic fulcrum and the increment of the initial straight line at the elastic fulcrum. On the basis of the references, this article focuses on editing and analyzing the geometric principle of elastic function.