有限离散函数的导数和性质

通过引入有限离散函数的导数概念,分别从几何直观和性质两个角度,比较了有限离散函数的导数概念和常规连续函数导数的相似性.结果表明,在局部情况下,有限离散函数导数近似等于连续情形下的导数.在运算性质上,有限离散函数导数的性质非常相似于连续情形时的导数性质.最后的例子给出了有限离散函数导数的一个应用.

Derivatives and Properties of Finite Discrete Functions

By introducing the derivatives of finite dicrete functions, the similarties between the derivatives of finite discrete and continuous functions are discussed from two angles of geometry and property. It shows that the derivatives and operation properties of finite discrete functions are locally approximate to the ones of continuous functions. Finally, an example is given to explain the application of the derivaties.