Thinking, thinking, thinking. Trying to work towards an example.

Spent more time than I meant making sure I understand how gradients act, their covariant nature under coordinate changes. Wrote out a "simple" example, just a 2D transformation of the gradient of a simple function. But it still took awhile. I made an arithmetic, an algebra, and a calculus mistake the first time through; am I ever rusty!

If you are looking for an example of covariance of a tensor or vector, try it:

gradient covariance

Now to make neuron-like structures do the math for me ...

## Tuesday, March 1, 2011

### gradient covariance

Labels:
coordinate system,
covariance,
gradient,
tensors,
transformations,
vectors

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