How would an architecture with a highly-optimized hardware implementation of EML compare with a traditional math coprocessor?
All elementary functions from a single binary operator
11–20 of 317 posts
Re: All elementary functions from a single binary operator
#12Re: All elementary functions from a single binary operator
#13Reminds me a bit of the coolest talk I ever got to see in person: https://youtu.be/FITJMJjASUs?si=Fx4hmo77A62zHqzy It’s a derivation of the Y combinator from ruby lambdas
It's one of those facts that tends to blow minds when it's first encountered, I can see why one would name a company after it.
Re: All elementary functions from a single binary operator
#14Exp and ln, isn't the operation its own inverse depending on the parameter? What a neat find.
Re: All elementary functions from a single binary operator
#15But no...
This is about continuous math, not ones and zeroes. Assuming peer review proves it out, this is outstanding.
Re: All elementary functions from a single binary operator
#16So, like brainf*ck (the esoteric programming language), but for maths?
But even tighter. With eml and 1 you could encode a funtion in rpn as bits. Although you also need to encode where to put the input. The real question is what emoji to use for eml when written out.
Some Emil or another, I suppose. Maybe the one from Ratatouille, or maybe this one: https://en.wikipedia.org/wiki/Emil_i_L%C3%B6nneberga
Re: All elementary functions from a single binary operator
#17I read the paper. Is there a table covering all other math operations translated to eml(x,y) form?
Re: All elementary functions from a single binary operator
#18How does one actually add with this?
xy = eml(eml(1, eml(eml(eml(eml(1, eml(eml(1, eml(1, x)), 1)), eml(1, eml(eml(1, eml(y, 1)), 1))), 1), 1)), 1)
From Table 4, I think addition is slightly more complicated?
Re: All elementary functions from a single binary operator
#19Earlier quoted context omitted.
But even tighter. With eml and 1 you could encode a funtion in rpn as bits. Although you also need to encode where to put the input. The real question is what emoji to use for eml when written out.
> The real question is what emoji to use for eml when written out. Some Emil or another, I suppose. Maybe the one from Ratatouille, or maybe this one: https://en.wikipedia.org/wiki/Emil_i_L%C3%B6nneberga
Re: All elementary functions from a single binary operator
#20What would physical EML gates be implemented in reality? Posts like these are the reason i check HN every day