/sci/ - Science & Math

>>12436200
>Elon
>using the word "scrub"
Yeah, no

>>11050111
>>11051427
>I defined some shit with a complicated formula
>is it useful??
It looks like your formula just says, if [math]\Omega[/math] is a subset of [math]R^d[/math], then [math]Z(\Omega,0)[/math] is the set of directions [math]v[/math] where every small cone going out from 0 and centred around that direction intersects [math]\Omega[/math]. And [math]Z(\Omega,x)[/math] is the same thing after you shift [math]\Omega[/math] over by [math]−x[/math]. So since it's something to do with directions, certainly you can express it in projective-geometry terms.

But it took a lot of work to figure even that much out. It would be easier if you explained what it's supposed to be for?? You claim at the top that something is invariant under homeomorphisms of [math]R^d[/math], is that [math]Z[/math]? But [math]Z[/math] isn't even invariant under rotations. Or is it this thing on page 2 called [math]A[/math]? What is [math]D[/math] supposed to be in your Theorem 1?

>>8676478