Media Summary: Remember that a vector is also a tensor, rank 1, thus This course will eventually continue on Patreon at Textbook: Errata: ... Updated with a correction to the tangent vector magnitude formula. Thanks to Daniel McCammon for pointing out the error.
Tensor Calculus 13 Gradient Vs - Detailed Analysis & Overview
Remember that a vector is also a tensor, rank 1, thus This course will eventually continue on Patreon at Textbook: Errata: ... Updated with a correction to the tangent vector magnitude formula. Thanks to Daniel McCammon for pointing out the error. Forward and Backward Transforms first video: MINOR ERROR: I sometimes ... ERROR: Throughout the video, I use dR/du and dR/dv. These should be partial derivatives, not full derivatives. First video on the ... The components and basis vectors of a vector space can be derivatives. This is encountered often when working with
Today we generalize the concept of divergence and the laplacian into their covariant forms by substituting the usual del operator ... Today I go over converting between vectors and their duals, transformations of covariant Original video on contravariant transformation rule for vectors: