论文标题
当地的施瓦兹悖论和强大可区分功能的梯度
The local Schwarz paradox and the gradient of strongly differentiable functions
论文作者
论文摘要
我们表明，多变量在某个点上的梯度是多差异伪向量与伪量表之间的一个无坐标的Clifford商的极限，或者在clifford scalar和伪量表中的总和，或者在标量（数字）和向量（作为denominators）（作为denominators）之间的clifford商总和均不简单地合同。然后，我们提供了上述结果暗示的一些猜想。
We show that the gradient of a multi-variable strongly differentiable function at a point is the limit of a single coordinate-free Clifford quotient between a multi-difference pseudo-vector and a pseudo-scalar, or of a sum of Clifford quotients between scalars (as numerators) and vectors (as denominators), both built on a same non degenerate simplex contracting to that point. Then, we provide some conjectures implied by the foregoing result.
