!!!!!

[mhoye@cosocial.ca]

!!!!!

All elementary functions from a single operator

(arxiv.org)

[jimfl@hachyderm.io]

@mhoye https://hachyderm.io/@jimfl/116400594182117756

[kboyd@phpc.social]

@mhoye But what does it mean for me, someone who still has to wrestle people away from using floats for money calculations?

[macbraughton@infosec.exchange]

@mhoye this is incredible

[nxskok@cupoftea.social]

@mhoye yes, I *did* check the date at the top of this one.

[jt7d@mastodon.social]

@mhoye OMG, that's so cool.

[meilin@tech.lgbt]

@mhoye
Very comparable to SUBLEQ and similar single operation Instruction Sets.

But in these days of machine learning hallucinations, I am a bit critical until an actual mathematician tells me it's correct...

Sorry...

[rnd@toot.cat]

@mhoye two-button RPN calculator when

[psysal@mastodon.social]

@mhoye what the??!

[holdenweb@freeradical.zone]

@kboyd @mhoye More trouble, most likely.

[psysal@mastodon.social]

@mhoye I skim read it. I'm not totally sure if the solutions are proven exact from algebraic identitied or what. The prose parts feel like slop-- the author admits to this but... For instance I didn't see any derivation for sin(x).

[tml@mementomori.social]

@MeiLin @mhoye Haha, exactly my reaction. I can't fully believe this until I see a Numberphile (or similar) video about it;)

[mms@mastodon.bsd.cafe]

@mhoye as someone who has not seen a mathematical calculator in over two decades: what can this do? Simplify CPU to only to one logic gate? I see that Andrzej (hey! Cracow!) talks about neural networks, but this gives even less understanding.

[kboyd@phpc.social]

@holdenweb @mhoye True, true. But what about those minecraft people who build calculators and such - will it vastly simplify their lives?

[elizafox@social.treehouse.systems]

@mhoye I expected this to say 1975 or some shit but no it says 2026. Fucking WILD.

[soblow@eldritch.cafe]

@mhoye alt-text:

"""
A single two-input gate suffices for all of Boolean logic in digital hardware. No comparable primitive has been known for continuous mathematics: computing elementary functions such as sin, cos, , and log has always required multiple distinct operations. Here we show that a single binary operator,

eml⁡(x,y)=exp⁡(x)−ln⁡(y),

together with the constant 1, generates the standard repertoire of a scientific calculator. This includes constants such as e, π, and i; arithmetic operations including +, −, ×, /, and exponentiation as well as the usual transcendental and algebraic functions. For example, ex=eml⁡(x,1), ln⁡x=eml⁡(1,eml⁡(eml⁡(1,x),1)), and likewise for all other operations. That such an operator exists was not anticipated; I found it [...]
"""

[lykrast@eldritch.cafe]

@mhoye oh shit

[ellie@ellieayla.net]

@mhoye this paper is a shitpost, right?

[jorendorff@federate.social]

@PsySal @mhoye From Euler's formula, sin(x) = (exp(ix) - exp(-ix))/2i.

So you first find formulas for subtraction, negation, multiplication, division, i, and 2, and then it's easy...

I dunno. The paper strikes me as crank. But what do I know.

[f4grx@chaos.social]

@mhoye can you please add an alt so we can retoot this mindblowing article? thank you! you can almost copy paste the abstract as the alt.