Video about Factorio

Things that are not directly connected with Factorio.
Post Reply
kovarex
Factorio Staff
Factorio Staff
Posts: 7387
Joined: Wed Feb 06, 2013 12:00 am
Contact:

Video about Factorio

Post by kovarex » Sat Oct 19, 2013 12:02 am

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

Gammro
Filter Inserter
Filter Inserter
Posts: 357
Joined: Wed Oct 09, 2013 1:45 pm
Contact:

Re: Video about Factorio

Post by Gammro » Sat Oct 19, 2013 1:51 am

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 :roll:

:P
Ignore this

Nirahiel
Filter Inserter
Filter Inserter
Posts: 351
Joined: Mon Sep 23, 2013 2:18 pm
Contact:

Re: Video about Factorio

Post by Nirahiel » Sat Oct 19, 2013 9:04 am

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 :roll:

User avatar
Math3vv
Long Handed Inserter
Long Handed Inserter
Posts: 99
Joined: Sun Oct 06, 2013 10:47 am
Contact:

Re: Video about Factorio

Post by Math3vv » Sat Oct 19, 2013 4:17 pm

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 ...
Last edited by Math3vv on Sat Oct 19, 2013 8:13 pm, edited 1 time in total.

Holy-Fire
Fast Inserter
Fast Inserter
Posts: 169
Joined: Sun Apr 14, 2013 9:15 am
Contact:

Re: Video about Factorio

Post by Holy-Fire » Sat Oct 19, 2013 6:40 pm

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 :roll:
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)).

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^(n-k) n! / ( k! (n-k)! ). 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.

Gammro
Filter Inserter
Filter Inserter
Posts: 357
Joined: Wed Oct 09, 2013 1:45 pm
Contact:

Re: Video about Factorio

Post by Gammro » Sat Oct 19, 2013 10:13 pm

Thank you for the explanation Holy-Fire, 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.
Ignore this

User avatar
ssilk
Global Moderator
Global Moderator
Posts: 10478
Joined: Tue Apr 16, 2013 10:35 pm
Contact:

Re: Video about Factorio

Post by ssilk » Sun Oct 20, 2013 5:05 am

It would be someway cool to include the factorial-element 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
Cool suggestion: Eatable MOUSE-pointers.
Have you used the Advanced Search today?
Need help, question? FAQ - Wiki - Forum help
I still like small signatures...

Nirahiel
Filter Inserter
Filter Inserter
Posts: 351
Joined: Mon Sep 23, 2013 2:18 pm
Contact:

Re: Video about Factorio

Post by Nirahiel » Sun Oct 20, 2013 9:55 am

Don't forget it's just a game, you don't have to know math to play

User avatar
ssilk
Global Moderator
Global Moderator
Posts: 10478
Joined: Tue Apr 16, 2013 10:35 pm
Contact:

Re: Video about Factorio

Post by ssilk » Sun Oct 20, 2013 10:44 am

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?
Cool suggestion: Eatable MOUSE-pointers.
Have you used the Advanced Search today?
Need help, question? FAQ - Wiki - Forum help
I still like small signatures...

Gammro
Filter Inserter
Filter Inserter
Posts: 357
Joined: Wed Oct 09, 2013 1:45 pm
Contact:

Re: Video about Factorio

Post by Gammro » Thu Jan 16, 2014 12:29 am

Another video, and my mind is blown. I actually can't decide if I believe this is true:
http://www.youtube.com/watch?v=w-I6XTVZXww

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?
Ignore this

kovarex
Factorio Staff
Factorio Staff
Posts: 7387
Joined: Wed Feb 06, 2013 12:00 am
Contact:

Re: Video about Factorio

Post by kovarex » Thu Jan 16, 2014 7:20 am

Gammro wrote:What do you guys think?
It's trolling done the right way :)

Nirahiel
Filter Inserter
Filter Inserter
Posts: 351
Joined: Mon Sep 23, 2013 2:18 pm
Contact:

Re: Video about Factorio

Post by Nirahiel » Thu Jan 16, 2014 11:36 am

Nah, the guys at numberphile are really awesome :D

kovarex
Factorio Staff
Factorio Staff
Posts: 7387
Joined: Wed Feb 06, 2013 12:00 am
Contact:

Re: Video about Factorio

Post by kovarex » Thu Jan 16, 2014 1:17 pm

Yes, but this is very clearly a joke.

Post Reply

Return to “Off topic”

Who is online

Users browsing this forum: No registered users