论文标题
关于隐性功能及其组合学的较高部分衍生物
On Higher Partial Derivatives of Implicit Functions and their Combinatorics
论文作者
论文摘要
我们考虑了许多变量的标量值隐式函数，并为其所有部分衍生物提供了两个封闭的公式。一个公式基于定义函数的部分衍生物的产物，另一个公式涉及多项式类型的构建块的产物，我们研究了两个公式中显示的系数的组合。
We consider a scalar-valued implicit function of many variables, and provide two closed formulae for all of its partial derivatives. One formula is based on products of partial derivatives of the defining function, the other one involves less products of building blocks of multinomial type, and we study the combinatorics of the coefficients showing up in both formulae.
