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Von Neumann's Elephant

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1–6 of 6 posts

Re: Von Neumann's Elephant

#3
Thinking in software dev terms. It says four parameters and then the solution provided in the Wiki starts with "let's use complex numbers" and lands with what the normies call 8 numbers.

I am pretty sure they can come up with some other math concept which packs 8 numbers into one, not four.

Re: Von Neumann's Elephant

#4

How about just one parameter! https://pubs.aip.org/aip/adv/article/8/9/095118/22887/One-pa...

I enjoyed that a lot, thanks for sharing! Given arbitrary precision, the number of parameters becomes meaningless as a measure of model complexity, and even this one-parameter equation has infinite VC dimension.

Re: Von Neumann's Elephant

#5

Thinking in software dev terms. It says four parameters and then the solution provided in the Wiki starts with "let's use complex numbers" and lands with what the normies call 8 numbers. I am pretty sure they can come up with some other math concept which packs 8 numbers into one, not four.

> I am pretty sure they can come up with some other math concept which packs 8 numbers into one, not four.

Yes, those are called octonions.

Though I don't know if anyone has tried to use one to draw an elephant.

Re: Von Neumann's Elephant

#6

Thinking in software dev terms. It says four parameters and then the solution provided in the Wiki starts with "let's use complex numbers" and lands with what the normies call 8 numbers. I am pretty sure they can come up with some other math concept which packs 8 numbers into one, not four.

> I am pretty sure they can come up with some other math concept which packs 8 numbers into one, not four. Yes, those are called octonions. Though I don't know if anyone has tried to use one to draw an elephant.

Surely if you're using octonions you have to draw a....squid! Or possibly some other cephalopod.