Video about Factorio

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Video about Factorio
I couldn't help myself, but I hear him talking about Factorio all the time
http://www.youtube.com/watch?v=Mfk_L4Nx2ZI
http://www.youtube.com/watch?v=Mfk_L4Nx2ZI

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Re: Video about Factorio
That's a pretty interesting video. I was always wondering why 0! = 1, so this finally gave me an answer.
The continuous factorial in the end is also an interesting concept, I do fail to see how it relates to the factorial. Since, in my head, the factorial has always been based as "the amount of discrete configurations n objects can have"; as also seen in his given example with the coins. So it is supposed to be not "just" a function that also gives the same answers on whole numbers(/integers). *sigh* mathematicians... sometimes I don't know what the hell they're trying to do
The continuous factorial in the end is also an interesting concept, I do fail to see how it relates to the factorial. Since, in my head, the factorial has always been based as "the amount of discrete configurations n objects can have"; as also seen in his given example with the coins. So it is supposed to be not "just" a function that also gives the same answers on whole numbers(/integers). *sigh* mathematicians... sometimes I don't know what the hell they're trying to do
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Re: Video about Factorio
Ah numberphile, I love this youtube channel, and I've watched this video.
That blond guy has something I find fascinating, I dunno, he has a certain charisma I can't explain
That blond guy has something I find fascinating, I dunno, he has a certain charisma I can't explain
 Math3vv
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Re: Video about Factorio
i wish he was my math teacher :/
also i like the part when he divides 1 by 0 ands says "you have broken math, stop that"
Edit : watched other videos from that channel and now my head hurts ...
also i like the part when he divides 1 by 0 ands says "you have broken math, stop that"
Edit : watched other videos from that channel and now my head hurts ...
Last edited by Math3vv on Sat Oct 19, 2013 8:13 pm, edited 1 time in total.

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Re: Video about Factorio
Take exponentiation (taking powers) as an example. a^n is the number of different combinations possible of n digits with a possible choices. If n is not integer this combinatorial interpretation is meaningless, but you still have no problem using 4^2.5 to mean 4^2*sqrt(4)=32. The only logical way to extend the integer definition to real numbers is x^y = exp (y * ln(x)).Gammro wrote: The continuous factorial in the end is also an interesting concept, I do fail to see how it relates to the factorial. Since, in my head, the factorial has always been based as "the amount of discrete configurations n objects can have"; as also seen in his given example with the coins. So it is supposed to be not "just" a function that also gives the same answers on whole numbers(/integers). *sigh* mathematicians... sometimes I don't know what the hell they're trying to do
For factorials it is the same. Despite the definition of Gamma being completely different from the original definition of factorial, (the shifted version of) it is the simplest real function satisfying the same recursion rule (n+1)! = (n+1) * n!, and so it is the natural generalization of the factorial.
Example application: Perhaps you've heard of Newton's binomial expansion (a+b)^n = \sum_{k=0}^n a^k b^(nk) n! / ( k! (nk)! ). It turns out this expansion applies also when n is not an integer  the series is then infinite, and instead of the factorials you need to use the corresponding Gamma values.
Generalizations are prevalent throughout all of mathematics.

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Re: Video about Factorio
Thank you for the explanation HolyFire, although I must admit I was a bit tired when I typed my reply at 4am. It's an interesting thing none the less, finding continuous functions for things we previously only knew as discrete.
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 ssilk
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Re: Video about Factorio
It would be someway cool to include the factorialelement more obvious into factorio. i think to the receipts. E. g. Receipt E needs 5 of receipt D needs 4 of C needs 3 of B needs 2 of A which needs 1 iron ore. Then the amount of iron ore to produce one E is 5*4*3*2*1 = 120
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Re: Video about Factorio
Don't forget it's just a game, you don't have to know math to play
 ssilk
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Re: Video about Factorio
Yeah, of course. But this one lies on hand. Perhaps, when this guy makes the next video about factorials he uses factorio to show that... No of course not,but who knows?
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Re: Video about Factorio
Another video, and my mind is blown. I actually can't decide if I believe this is true:
http://www.youtube.com/watch?v=wI6XTVZXww
If it's true, it's possibly the least intuitive mathematical concept I know. Meanwhile, my brain is trying to think where a mistake has been made, but I can't see it.
What do you guys think?
http://www.youtube.com/watch?v=wI6XTVZXww
If it's true, it's possibly the least intuitive mathematical concept I know. Meanwhile, my brain is trying to think where a mistake has been made, but I can't see it.
What do you guys think?
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 Factorio Staff
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Re: Video about Factorio
It's trolling done the right wayGammro wrote:What do you guys think?

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Re: Video about Factorio
Nah, the guys at numberphile are really awesome

 Factorio Staff
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Re: Video about Factorio
Yes, but this is very clearly a joke.
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