Since they are including TV shows, how could they have missed Futurama? Episode 6ACV10, "The Prisoner of Benda" involved a machine that could swap the minds of two people. However, it turned out a given pair could only be swapped once. So if A and B swapped, and then wanted to swap back, they could not just use the machine together again. They would need to find some intermediate bodies to swap through--but then those people might no longer all be in the right bodies, and they would need to find some intermediaries, and so on. Thus, the question arose if, given a group of people who have done assorted swaps, is it always possible, with the help of a finite number of volunteers, to get everyone back to their original body and also leave the volunteers in their original bodies? And if so, how many volunteers do you need?
The Harlem Globetrotters are called in to help, and they prove that any group of swapped people can be restored to their bodies with the help of two volunteers. Their proof of this appears on a blackboard in the episode, and it is fact a correct proof.
Furthermore, not only is it correct, it was a new result, proved by Futurama writer Ken Keeler (who has a PhD in mathematics). This is, as far as anyone as been able to determine, the first and only time that a new theorem has been first published as part of a TV show.
I haven't dug into the proof to deeply, but that does not seem like something that would be that difficult to prove. It seems more like Keeler simply put mathematically correct writing into the show, and that math happens to be something that no one has bothered to formally show. Not to say that it is not an impressive level of detail to put into a cartoon, but the fact that it was first published in the show only shows that it is not a difficult or interesting result.
I'm kind of surprised this list doesn't include Darren Aronofsky's "Pi". The film touches on a lot of interesting topics such as digit repetition in pi, financial market machine learning, fibonacci spirals and number theory.
Though they had the proportion wrong when describing the perfect rectangle. Instead of a/b = b/(a+b) they had a/b = (a+b)/b, which is obviously incorrect.
Also, all their graphs and tables were from the Dover publication Tables of Functions With Formulas and Curves by Eugene Jahnke and Fritz Emde. I enjoyed reading this in high school and college.
Don't get me wrong, it was a pretty decent 90s thriller. Very charming. But the way it was described made it out to be as if it portrayed complex cryptographic and technical concepts.
All I really saw was an anagram and some idealized substitution cipher. Fun film, misleading summary.
Nice collection. I wanted to add many of these movies in my Netflix queue and found this handy bookmarklet called Cue That http://www.cuethat.com/. You can select movie title and add it in Netflix queue quickly.
The Harlem Globetrotters are called in to help, and they prove that any group of swapped people can be restored to their bodies with the help of two volunteers. Their proof of this appears on a blackboard in the episode, and it is fact a correct proof.
Furthermore, not only is it correct, it was a new result, proved by Futurama writer Ken Keeler (who has a PhD in mathematics). This is, as far as anyone as been able to determine, the first and only time that a new theorem has been first published as part of a TV show.
Details, including the theorem and proof, here: http://en.wikipedia.org/wiki/The_Prisoner_of_Benda