I just read the wikipedia article for Costas arrays, very interesting concept (I know little of discrete maths). I still don't like the way the guy at the talk presented the concept, but thanks for clearing it up:-D.
It would help if there were some definitions for "random" and "pattern-free" in this context. I find it annoying that he several times says that random music is not pattern-free.
It is true that their definitions are not equivalent, but it seems that he is implying that you cannot generate "pattern-free" music using randomly played notes, and that -depending of the definition of "pattern-free" of course- seems very, very unlikely.
Still, I can appreciate the effort to maximize information entropy, and the divulgation of discrete math.
Not a play on words, it's merely redundant verbiage tacked on in a pathetic attempt to sound cool, just like all the comments that contain a useless "This."
Heh, I wonder if "I can has cheezburguer" sounds to a native english speaker as funny as "yo puedo tiene hamburguesa" sounds to a native spanish speaker.
Well, my reply was actually tongue-in-cheek because of the generality of my definition (used in algebra). I assumed the OP was talking about the integers, not the natural numbers. The integers are an integral domain, so the definition of primality becomes the one for integral domains.
So no, it's not redundant, given the conditions I assumed (I feel I have to say it explicitly this time:-P)
I'd say it's doubly redundant. Primes are, by definition, both nonzero and positive.
Since the OP is talking about "positive" (meaning that there are also "negative" numbers) he's talking about the integers. And since the integers are an integral domain the definition of primality becomes the definition for integral domain:
If p is a non-zero non-unit, we say that p is a prime element if, whenever p divides a product ab, then p divides a or p divides b
Someone should make a game in which you play as an... I don't know, something like a Native American. And, um, maybe something involving killing extraterrestrial life-forms. It would be awesome if you got to kill'em on their ship, actually.
Even better: make it so at the beginning you're in some building and then somehow the whole building ends up on the alien ship.
Oh, and play Don't Fear The Reaper when you're being pulled into the ship.
I love Terminal Velocity! There was a game for windows that was called Fury3 which was basically the same thing. It would be nice if they rebooted either.
I'd say that if someone is able to postulate things that are contradictory to observed facts, it must be the case that he/she is a logician (just kidding... or not:-P)
Maybe he doesn't mean that they do it with the intent of predicting phenomena, but that they establish the postulates (inspired by something real), then do some work and then produce something that can be used as a model. That does happen (quite often).
Slashdot Mirror
Beets. Battlestar Galactica.
Thanks! Just a derivation of the famous phrase: http://en.wikipedia.org/wiki/Time_flies_like_an_arrow;_fruit_flies_like_a_banana
... fruit flies like a bottle of booze.
I just read the wikipedia article for Costas arrays, very interesting concept (I know little of discrete maths). I still don't like the way the guy at the talk presented the concept, but thanks for clearing it up :-D.
It would help if there were some definitions for "random" and "pattern-free" in this context. I find it annoying that he several times says that random music is not pattern-free.
It is true that their definitions are not equivalent, but it seems that he is implying that you cannot generate "pattern-free" music using randomly played notes, and that -depending of the definition of "pattern-free" of course- seems very, very unlikely.
Still, I can appreciate the effort to maximize information entropy, and the divulgation of discrete math.
Not a play on words, it's merely redundant verbiage tacked on in a pathetic attempt to sound cool, just like all the comments that contain a useless "This."
This.
Could you elaborate on the differences beyond the different settings (SF vs Heavy Metal Fantasy)? (Honest question, I haven't played Brutal Legend)
Battlezone was a team multiplayer game, not single player..
That is false. It has a single player campaign. Maybe you're thinking of some other game?
Unless your grandma is John Lennon or something.
Heh, I wonder if "I can has cheezburguer" sounds to a native english speaker as funny as "yo puedo tiene hamburguesa" sounds to a native spanish speaker.
Alas, poor Nupraptor! I knew him well... well, not really.
And sometimes it's just homotopic to a 3-ball.
The Apollo Program used to reveal cities back in the day :P
Well, my reply was actually tongue-in-cheek because of the generality of my definition (used in algebra). I assumed the OP was talking about the integers, not the natural numbers. The integers are an integral domain, so the definition of primality becomes the one for integral domains.
:-P)
So no, it's not redundant, given the conditions I assumed (I feel I have to say it explicitly this time
Sorry for the self-reply, but I meant that the "positive" condition is not redundant. The nonzero condition is redundant all right.
I'd say it's doubly redundant. Primes are, by definition, both nonzero and positive.
Since the OP is talking about "positive" (meaning that there are also "negative" numbers) he's talking about the integers. And since the integers are an integral domain the definition of primality becomes the definition for integral domain:
If p is a non-zero non-unit, we say that p is a prime element if, whenever p divides a product ab, then p divides a or p divides b
So it's actually not redundant.
Oh, god, what have I become...
Someone should make a game in which you play as an... I don't know, something like a Native American. And, um, maybe something involving killing extraterrestrial life-forms. It would be awesome if you got to kill'em on their ship, actually.
Even better: make it so at the beginning you're in some building and then somehow the whole building ends up on the alien ship.
Oh, and play Don't Fear The Reaper when you're being pulled into the ship.
Oh, wait...
I love Terminal Velocity! There was a game for windows that was called Fury3 which was basically the same thing. It would be nice if they rebooted either.
I haven't played this game, but sounds a lot like Battlezone (the one from 1998). Very fun game, by the way.
We need you to do some recruiting, you make being a mathematician sound fun!
I'd say that if someone is able to postulate things that are contradictory to observed facts, it must be the case that he/she is a logician (just kidding... or not :-P)
Maybe he doesn't mean that they do it with the intent of predicting phenomena, but that they establish the postulates (inspired by something real), then do some work and then produce something that can be used as a model. That does happen (quite often).
Wow, She died just by playing Nethack? No wonder she never attempted it again.
Oh boy, am I glad I didn't make that joke! :-P
If a MÃbius Strip isn't one-sided, could you please give an example of something that is?