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/sci/ - Science & Math

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8444237 No.8444237 [Reply] [Original]

Is there a fundamental difference between "regular" and "reverse" calculations?
[math]2^3[/math] can be simply be calculated step by step for anyone, but [math]\sqrt[3]{8}[/math] is basically asking "find a number whose cube is 8" which is a bit more tricky apart from the fact that the answer is easy to guess in this particular case. Or consider calculating exponents vs logarithms, differentiation vs integration.

>> No.8444244

P and NP mostly
We don't know if there's a fundamental difference

>> No.8445056

>>8444244
P = NP brainlet

>> No.8445067

a lot of natural processes just aren't easily reversible, like multiplying primes compared to finding prime factors, think of it like mathematical entropy/thermodynamics

>> No.8445086

>>8444237
Not really. Just consider addition and substraction. One is the regular and one is the reverse but they are as easy to calculate.

Obviously, this is a special case but it is enough to prove that the difference in difficulty is not an inherent property of reverse calculations.

>differentiation vs integration

Daily reminder that integral refers only to the area under a curve. You mean differentiation and antidifferentiation.