- #1
Apashanka
- 429
- 15
If we have two sets of coordinates such that x1,x2...xn
And y1,y2,...ym
And if any yi=f(x1...,xn)(mutually dependent).
Then dyi=(∂yi/∂xj)dxj
Again dyi/dxk=(∂2yi/∂xk∂xj)dxj+∂yi/∂xk
Is it the contravariant derivative of a vector??
Or in general dAi/dxk≠∂Ai/∂xk
And y1,y2,...ym
And if any yi=f(x1...,xn)(mutually dependent).
Then dyi=(∂yi/∂xj)dxj
Again dyi/dxk=(∂2yi/∂xk∂xj)dxj+∂yi/∂xk
Is it the contravariant derivative of a vector??
Or in general dAi/dxk≠∂Ai/∂xk