@dpiponi@mathstodon.xyz
@dpiponi@mathstodon.xyz avatar

dpiponi

@dpiponi@mathstodon.xyz

Disclaimer:
๐Ÿ‘ฝ My opinions are not my own. They're beamed to me by aliens

Current life:
๐ŸŽฎ Epic Games

Previous lives:
๐Ÿฉ a PhD in Riemann theta functions
๐Ÿ’ฅ many years working in movie visual effects
๐ŸŽˆ some years devising navigation strategies for balloons
๐ŸŽฒ a year drawing random samples from tricky distributions

Likes:
๐Ÿšด I like to bike
๐Ÿƒ I like to run
๐ŸŽ›๏ธ my musical tastes lie towards the electronic end of the spectrum
๐Ÿš€ I like Andor and The Mandalorian

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dpiponi, to random
@dpiponi@mathstodon.xyz avatar

Given a random number generator that generates points uniformly in the unit interval [0,1] can you generate uniformly distributed points in the unit circle using only algebraic functions? In a finite number of steps - so no rejection sampling, loops, recursion. No "almost always" finite either.

Just wondering about sitiations where it seems you can't avoid trig functions.

dpiponi,
@dpiponi@mathstodon.xyz avatar

@SvenGeier @BoydStephenSmithJr "same number of points"??? But I do know what you mean :)

dpiponi, to random
@dpiponi@mathstodon.xyz avatar

Despite Wildberger being a bit off the usual conventional paths in mathematics, he's influenced me to the point where every time I write a line of code using an angle I ask myself if I could use an alternative "rational" representation.

https://research.unsw.edu.au/people/professor-norman-j-wildberger

dpiponi,
@dpiponi@mathstodon.xyz avatar

@BartoszMilewski Yeah, I find ultrafinitists who actually believe in way more numbers than me weird. Maybe I should call myself a zeroist. But people often do interesting math despite weird philosophy.

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