High up FBI guy (Brother 1) gets stuck on cases enlists help of MathsAlthough it sounds pretty ordinary it's actually quite well done and has been a pretty good replacement for our normal Monday night viewing of Desperate Houswives.
Genius (Brother 2) to derive equations to model behaviour. Bleedingly
obvious strokes of genius provided by Father of Brother 1 and 2
to ultimately catch bad guys.
In the episode screened last night the Maths guy lost the plot and started working on a problem 'P vs NP'. It was at this point I felt my geek (inner maths geek that is) rising to the surface with a sudden urge to go and discover the basis of the problem, as it wasn't really explained during the episode. I did manage almost 24 hours before I ended up googling it... But for those who are interested :-
The P versus NP problem is the determination of whether all NP-problems are actually P-problems. If P and NP are not equivalent, then the solution of NP-problems requires (in the worst case) an exhaustive search, while if they are, then asymptotically faster algorithms may exist.Specifically in the show the Maths guy was dealing with the problem in terms of the game Minesweeper.
Taken from mathworld.wolfram.com
The object of Minesweeper is to avoid all the hidden mines on a square grid. When you click on a grid, you either find a mine (and lose) or get a number showing how many mines are in the squares around the one you just clicked. Kaye realized that this was exactly the kind of problem described by Stephen Cook back in 1971 and now referred to as P vs. NP.from Geek.com
So consider yourself enlightened!
2 comments:
I remember the name of the problem, but couldn't remember the exact nature of the problem. I feel enlightened :) Ben
For the non-geeks among us, or just those that have better things to remember than random mathematical equations, what does N stand for and what does NP stand for?
Sorry for asking the obvious, but if you are going to explain a problem, you need to include all the details!
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