Futurama Writer Created And Proved A Brand New Math Theorem Just For Episode
geekosystem.com
geekosystem.com
I've been very disappointed by the new season. The only episode I found to be watchable was the one with the time machine.
I think comedy central has pushed them or they feel the need to be more like comedy centrals raunchier comedies and that just isn't futurama.
The movies were also by far much much better than this new season and they weren't as great as the old episodes which are still fun to watch once in a while, kind of makes me sad but it is also somewhat expected.
The Late Philip J. Fry (the time machine one), as you admitted, was hilarious. They worked in references to piles of classic science fiction movies; the show covered time travel, theories of the nature of time and the universe, paradoxes, and predestination; and the writing was tight and funny. So we seem to agree that one was solid.
A Clockwork Origin, two episodes later, pulled together the panspermia hypothesis, the debate between intelligent design and evolution, the singularity, and clear send-ups to Second Variety and Planet of the Apes.
Proposition Infinity was more a political than a science fiction episode (and we had those in the earlier seasons, too--the garbage sphere, the women's planet, etc.), but I thought did a hilarious send-up of Proposition 8, religious responses to homosexuality, San Francisco gay pride parades, and so on.
And while I agree that episodes from this season are in general more vulgar than average from previous Futurama seasons, I also think you're viewing those seasons through rose-colored glasses. The sex in this episode was no more explicit than Fry and Leela in Tales of Interest, Professor Farnsworth's seduction of Mom in Mother's Day, or half a dozen other episodes, and while I thought the third episode of the season (Attack of the Killer App) was disgusting, I don't honestly think it was more disgusting than Fry and the Slurm Factory, where it's revealed that Slurm is slug poop.
Futurama's always mixed highbrow with lowbrow. I agree they've gotten raunchier, and I think it hurts the humor. But I think writing the whole season off as a loss is extremely unfair.
Attack of the Killer App was just unfunny, in the same sense as Bill Maher is unfunny compared to Jon Stewart; it's a humor based on superficial recognition of current events, not keen observation.
and language is the best bit. Got a Russian mate to translate for me a great Bender quote: "... Поцелуйте (Kiss) мой (my) блестящий (shiny) металлический (metal) зад (ass). ..." ~ http://www.flickr.com/photos/nothingpersonal/4484582814/
Plus, Bender learned how to knit!
- No more "It's that wacky bender!" every time they can't come up with an in-context joke. That was a big problem with the movies.
- Finally had Fry and Leela hook up, so we won't have to deal with any more of those whiny episodes. Best thing to happen to TV since Jim and Pam got together.
- I liked the addition of Nibbler to the crew. (Although now that's looking like it got zapped with the magical sitcom history-erasing reset button.)
- No lame extended musical numbers. (And now that I've said that, I'm sure they're be a six minute one next week...)
- And most of all, we got to see Scruffy's serious side...
But what bugs me the most is that South Park already did it. These episodes seem to close with some life lesson the writers feel we need to learn. Even South Park is getting ridiculous with it's preaching and Futurama should just stop trying.
If I were them I'd have gone back to visit the land of the hot chicks with no guys and the backwards time machine instead of going straight home. Of course, I'd only be going there to get the backwards time machine.
Who cares, it was hilarious. There's a time for accuracy and being PC, and there's a time for little humor gems, even if they aren't perfectly congruous with what a normal person would do!
Although I did think they missed a golden opportunity. When he 'missed', He should have said, "oops, I missed. I hit JFK instead" (JFK assassination)
(Probably some typos. Feel free to fix: http://pastebin.ca/1922336)
The math proof shows this by starting with an arbitrary permutation of minds (pi) for n people, then adds two new people x and y to show that there now exists another permutation of minds (sigma) that "undoes" the original permutation. This means there's a way for everyone to get their bodies back.
Without the addition of two people x and y there is no such guarantee.
To understand the details you'll need to know about group theory. Specifically permutations. This isn't a "deep" problem. But it is awesome that it's correct and on TV!
I wrote up an algorithm to swap the minds back, and then proved its correctness, and its running time. It might be more understandable than the group theory proof. It's in a comment thread on reddit: http://www.reddit.com/r/math/comments/d3ar3/tonights_futuram...
You don't really need much math background to understand the proof. At the top, where he writes pi = (top line of numbers, bottom line of numbers), he means the permutation that sends the first element to the second place, the second element to the third place, and so on.
If you think about it, every permutation can be split into cycles of this form (a -> b, b-> c, c->d, ..., e->a). One of these cycles, that's of length K, is called a "K-Cycle".
I think that's the only terminology you need to follow the proof.
SO(3) (the group of rotations) is not discrete in any sense i can think of.
some groups have a discrete topology, but not all by any means... are you referring to cayley's theorem?
In other news, (bad) pun threads have come to hacker news. I guess it was always a matter of time.
http://en.wikipedia.org/wiki/Lie_group#The_Lie_algebra_assoc...