论文标题
镜衍生物
The Specular Derivative
论文作者
论文摘要
在本文中，我们引入了一种新的广义衍生物，我们将其称为镜面衍生物。我们根据镜面衍生物建立了准卷的定理，准均值定理和微积分的基本定理。我们还研究了镜面衍生物的各种分析和几何特性，并将这些特性应用于几个微分方程。
In this paper, we introduce a new generalized derivative, which we term the specular derivative. We establish the Quasi-Rolles' Theorem, the Quasi-Mean Value Theorem, and the Fundamental Theorem of Calculus in light of the specular derivative. We also investigate various analytic and geometric properties of specular derivatives and apply these properties to several differential equations.
