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3:27 PM
@TheSimpliFire this is probably up your ally:
write a program that takes a positive integer and outputs the shortest representation of it using "2 + - * / ^ ( )", not including concatenating 2's (so no 22) or implicit multiplication (so no (2+2)2).
 
 
4 hours later…
7:47 PM
Programs? fun
I actually have a program that does mostly this: except you have to specify how many 2's to use, modifying it will be simple
 
 
2 hours later…
9:28 PM
@TheSimpliFire This more in your alley? soundcloud.com/an_ant_sax/…
Also you might find this interesting:
0
Q: Where does this multiplicative and additive analogy breakdown?

More AnonymousBackground We make use of bra-ket notation from quantum mechanics: $$ \hat K(t) = (I + a^\dagger)^{t-1} |1 \rangle \langle 1 | + (I + a^\dagger)^{2(t-1)}|2 \rangle\langle 2 | + (I + a^\dagger)^{3(t-1)}|3 \rangle\langle 3 | + \dots $$ where $a^\dagger$ is the ladder operator ($a^\dagger |m \ra...

 

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