I cannot emphasize too strongly to understand the wikipedia article on
orthogonal coordinates in 3 dimensions.
https://en.wikipedia.org/wiki/Orthogonal_coordinates#Differential_operators_in_three_dimensions
There are only 12 possible orthogonal coordinate systems. The formulas
given cover all of the orthogonal coordinate systems. The only problem
in treating all of the coordinate systems is when the $h_i$ functions
contain the square roots of symbolic expressions since (as far as I
know) you cannot specify whether an expression (I know you can do it for
symbol) is positive or negative. I would create a general class that
includes any of the orthogonal coordinate systems perhaps specified by
the $h_i$ functions.
On 03/28/2017 11:10 AM, Mikayla Z. Grace wrote:
Arif, thank you! I agree that would strengthen it a lot.
Jason, thank you as well! I will take a look at the proposal you
sent-- that's very helpful.
On Monday, March 27, 2017 at 11:37:07 PM UTC-4, Mikayla Z. Grace wrote:
I have a first draft of my Google Summer of Code project proposal
about vector coordinate systems, and I would love to get some
feedback and suggestions about it to make it stronger! Here's the
link:
https://github.com/sympy/sympy/wiki/GSoC-2017--Mikayla-Z.-Grace:-Extend-Implementation-of-Different-Vector-Coordinate-Systems-to-Vector-Functions
<https://github.com/sympy/sympy/wiki/GSoC-2017--Mikayla-Z.-Grace:-Extend-Implementation-of-Different-Vector-Coordinate-Systems-to-Vector-Functions>
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