I'll let y'all decide which head hurts
I vote for the one that does the math. Hey, get out the probulator and find which one that is on Jimi!
Discussion of the Mutant Enemy series, Firefly, the ensuing movie Serenity, and other projects in that universe. Like the other show threads, anything broadcast in the US is fine; spoilers are verboten and will be deleted if found.
I'll let y'all decide which head hurts
I vote for the one that does the math. Hey, get out the probulator and find which one that is on Jimi!
I think from now on I'm gonna call Jimi "Zaphod."
I'ma make a "My Fandom is Very Mathy" LJ icon as soon as I'm not drunk.
That will be next month sometime, at this rate.
Except OoG should be able to have ∞+1 !'s.
I'm not sure the induction hypothesis allows for uncountable infinties.
Dude. ∞+1 is not uncountable. In fact ∞+1=∞
Dude. ∞+1 is not uncountable. In fact ∞+1=∞
For that matter, so is ∞-1. Or ∞+∞. Or, by extension, ∞-∞, or even ∞/∞. If it has ∞ in it, the answer is always ∞.
I'm absolutely certain that there has to be a joke in here somewhere, but I can't think of one.
I'm absolutely certain that there has to be a joke in here somewhere, but I can't think of one.
This thread could be mathier. There should be more math.
Or, by extension, ∞-∞, or even ∞/∞. If it has ∞ in it, the answer is always ∞.
It's been so long since I've studied this... but if you look at ∞ as a limit, then ∞/∞ could be a non-infinite number, depending on what the limit is. For example, the lim x²/x as x→∞ is ∞, but the lim x/x as x→∞ =1.
Come to think of it, I've only studied ∞ as a limit... Anyway, does this make sense? I mean, it matters what kind of ∞ you're talking about....
eta: I was taught (or else I just decided this) that ∞ is not to be treated as a number at all, just a limit....
eta²: There are infinitely many integers > 0, but there are infinitely many real numbers between 0 and 1. So the number of real numbers is a higher order infinity (or something) than the number of integers.
This thread could be mathier. There should be more math.
It's been so long since I've studied this... but if you look at ∞ as a limit, then ∞/∞ could be a non-infinite number, depending on what the limit is. For example, the lim x²/x as x→∞ is ∞, but the lim x/x as x→∞ =1.
I stand corrected.
It's been so long since I've studied this... but if you look at ∞ as a limit, then ∞/∞ could be a non-infinite number, depending on what the limit is. For example, the lim x²/x as x→∞ is ∞, but the lim x/x as x→∞ =1.
This is true. Usually, ∞/∞ is said to be undefined.
Come to think of it, I've only studied ∞ as a limit... Anyway, does this make sense? I mean, it matters what kind of ∞ you're talking about....
It absolutely depends. I've been assuming we are taking ∞=Aleph-null, but that's probably just me...it's a number in the sense that it's the number of elements in the set of the integers, for example.
ARRRGH!! Call out the Marines!! They're using the Weapons of Math Destruction!!!