P = NP

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Anonymous

P = NP 2016-01-20 23:56:43 Post No. 7798497

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P = NP 2016-01-20 23:56:43 Post No. 7798497

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Homer is the key

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Rather than P=NP, i am more amused by the blatant violation of Fermat theorem in the back

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Could someone spoon feed a litfag about why this is such a big deal?

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>>7799288

NP problems are renowned for being exponentially difficult to solve with greater variables. if someone were to bring them into P time, they would be solvable with far less computational power, and not with exponential increase in difficulty.

the conjecture of P=NP is that if you can bring an NP problem into P space, you can bring ALL NP problems into P space. this would mean that it's possible to break cryptography's entropy barrier with far less computational resources than anticipated.

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>>7799290

What is P space?

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File: screen-shot-2014-05-08-at-6.16.50-pm_wide-68c9dd352a5514d2ede51c42ad009b3ec41b4edd-s800-c85[1].png (171 KB, 639x359)
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171 KB, 639x359

>>7799281

The difference between the two sides is smaller than an ordinary calculator can decide. Here's another "counter-example".

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>>7799288

It would essentially solve every single problem.

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>>7799399

>This is what retarded CS majors believe

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>>7799293

A space you define as the space containing all the possible P - problems vica versa for NP

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>>7799437

>P space is the space containing all the problems contained in P space

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>>7799290

>NP problems are renowned for being exponentially difficult

Exponentially, like O(2^n)? Isn't that a whole different class of problems, like solving chess?

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>>7799288

https://www.youtube.com/watch?v=YX40hbAHx3s

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>>7799674

Yes

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>>7799676

NP problem means Nondeterminist polynomial, it's every probleme that you could solve in polynomial time if you were lucky.

In this kinf od problem it's usually easy to check if a solution work, but there are tons of possible solutions.

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>>7799687

Yes, but doesn't that differ from exponential time? That's what I wanted to say. I'm not sure though, CS is not my field.

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>>7799674

Seems not so intuitive as a non mathematician.

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>>7799704

Read a little about deterministic Turing Machines and nondeterministic Turing Machines. It'll make more sense when you look at it in the context of those.

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>>7799857

Simpson's rule?

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>>7799874

I can't tell if thats a book I can't find or if thats a joke about the theorem

god help me

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>>7799704

You're right and they're wrong.

P ⊆ NP∩coNP ⊆ NP∪coNP ⊆ PSPACE ⊆ EXPTIME ⊆ NEXPTIME ⊆ EXPSPACE

with P ⊊ EXPTIME, NP ⊊ NEXPTIME, PSPACE ⊊ EXPSPACE

It's just that the best algorithms we have so far are exponential

>CS is not my field

Don't worry, 99.95% of CS graduate don't understand their own field and 99.5% can't even code.

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>>7799900

https://en.wikipedia.org/wiki/Simpson's_rule

http://www.amazon.com/Simpsons-Their-Mathematical-Secrets/dp/1620402785/

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>>7800163

>Don't worry, 99.95% of CS graduate don't understand their own field and 99.5% can't even code.

Sad but true

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>>7798497

>Read a Chemical Engineering paper about a phase equilibria optimisation.

>Suddenly the author starts talking about the implications of the results on the P = NP problem in the conclusion.

When will this meme die?

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>>7798497

$ python

>>> 3987**12 + 4365**12

63976656349698612616236230953154487896987106L

>> 4472**12

63976656348486725806862358322168575784124416L

they differ after the 10th digit

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