All elementary functions from a single binary operator
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Re: All elementary functions from a single binary operator
#2How does one actually add with this?
Re: All elementary functions from a single binary operator
#3How does one actually add with this?
Well, once you've derived unary exp and ln you can get subtraction, which then gets you unary negation and you have addition.
Re: All elementary functions from a single binary operator
#4Reminds 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
Re: All elementary functions from a single binary operator
#5So, like brainf*ck (the esoteric programming language), but for maths?
Re: All elementary functions from a single binary operator
#6Reminds 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
Have you gone through The Little Schemer?
More on topic:
> No comparable primitive has been known for continuous mathematics: computing elementary functions such as sin, cos, sqrt, and log has always required multiple distinct operations.
I was taught that these were all hypergeometric functions. What distinction is being drawn here?
Re: All elementary functions from a single binary operator
#7How would an architecture with a highly-optimized hardware implementation of EML compare with a traditional math coprocessor?
Re: All elementary functions from a single binary operator
#8Next step is to build an analog scientific calculator with only EML gates
Re: All elementary functions from a single binary operator
#9So, 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.
Re: All elementary functions from a single binary operator
#10What would physical EML gates be implemented in reality?
Posts like these are the reason i check HN every day