/sci/ - Science & Math

>>11278376
>I'm not the mathanon, but for whatever it's worth, you can probably parameterize it, assuming you know what kind of curve it describes so you can parameterize it correctly. Instead of one equation with 2 variables, you would have 3 equations (each one describing one of the 3 coordinates) with a single same variable, so you can't have a neat single g(t) equation with a single variable.
I seriously doubt there is some mechanical procedure that produces an equation which is reasonable to compute.
Consider, for example, Fermat's curve [math]f(x, y)=x^n+y^n[/math].
You automatically turn the problem into showing that [math]f(t)[/math] doesn't have n-th powers in its images for t natural, and otherwise reduce diophantine equations to one-dimensional problems.
It's such a convenient trick for number theory that I imagine I'd have heard about it.

Absolutely could be wrong, tho.
>>11279214
>U has three dimensions
There are exactly two options:
>V is trivial
>[math]U=R^3[/math], [math]V \subset R^3[/math], and the author was doing some serious abuse of notation while talking about the internal sum U+V

>it's neither of the two
The symbol isn't really used for anything else desu.
>>11279309
If it did isolate, people would still need to use oxygen masks.