Recent content by mokrunka

Right, I know they're the same from the chain rule. My question really I guess is why is it necessary to add the additional term? Is it becauseA_{r}(x^{p}(x^{k'}))? Since the text seems to present this in different ways, I'd really like to understand the mechanics of why this extra term...

Ok folks, I've taken a stab at the Latex thing (for the first time, so please bear with me). I've mentioned before that I'm teaching myself relativity and tensors, and I've come across a question. I have a few different books that I'm referencing, and I've seen them present the ordinary...

Ahhh, I failed to see that I could use r and (x^2+y^2)^.5 interchangeably. Thank you very much for this clarification! As a side note, how are you able to type the equations directly into the post? Edit: nevermind, I've just discovered Latex.

For example, in the attached word file, I've given the equation to convert the metric from primed (r, theta) to unprimed (x, y) coordinates. I have also listed the partial derivatives I've used. In this file, you can see gxx will not (unless my math is failing me) give 1, which would be the...

I'm working on a problem that requires me to take the cartesian metric in 2D [1 0;0 1] and convert (using the transformation equations b/w polar and cartesian coords) it to the polar metric. I have done this without issue using the partial derivatives of the transformation equations and have...