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sisyphean avalanche @amsomniac

does curl lose information

like, does it just give you the rotation of the vector field or does it give you the values for all your vectors

Is it ↔?

@amsomniac (quick thoughts) you're taking a derivative, so you'll lose constant offsets, and then information is destroyed in the subtraction of derivatives. in Cartesian coordinates curl won't change if you make equal additions to both dFz/dy and dFy/dz (e.g. by adding (y k^ and z j^ to your vector field) and so on for all similar pairs...

@amsomniac that addition makes a weird shape! kind of a saddle? which would make curl invariant to saddles and translations