Jacobi matrix雅克比矩陣
cite from wikipedia
Vector calculusVector-by-vector
Each of the previous two cases can be considered as an application of the derivative of a vector with respect to a vector, using a vector of size one appropriately. Similarly we will find that the derivatives involving matrices will reduce to derivatives involving vectors in a corresponding way.
The derivative of a vector function (a vector whose components are functions) 
,
of an independent vector 
, is
written (in numerator layout notation) as
In vector calculus, the derivative of a vector function y with respect to a vector x whose
components represent a space is known as the pushforward or differential
The pushforward along a vector function f with respect to vector v in Rm is given by 
在向量微積分中，向量函式y關於x(x的元素代表空間)的導數被認為是雅克比矩陣