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ITT: Cool shit that you wish somebody had shown you when you

You are currently reading a thread in /sci/ - Science & Math

Thread replies: 23
Thread images: 4
File: evennumbers1.png (13 KB, 440x213) Image search: [Google]
evennumbers1.png
13 KB, 440x213
ITT: Cool shit that you wish somebody had shown you when you were a kid/undergraduate
>>
What's cool about that?
>>
>>7751032
If you can't see the pattern you're retarded.
>>
>>7751200
every number can be bit shifted so as to have a 1 in the lsb?
>>
>>7751200
>impressed by patterns
>>
>>7751200
>>7751022
what the fuck are you talking about? this isn't interesting at all
>>
>>7751022
Wow, 8 multiplied by a number divided by 8 gives you the same number, thanks OP! I've finally found a topic for my paper!
>>
>>7751022
Every even number x can be represented as the product p*y with a prime number p and an even number y<x.
>>
>>7751022
the dankest meme in town: -1/12
>>
>>7751022
It's easy with category theory. Draw horizontal arrows that denote adding some amount.
f:1-->3
where f(x)=x+2
Do this for all elements. Then Each row can be considered a category. Furthermore, your vertical arrows can then be considered as a functor acting on each category. Define
F(x)=x/2
and given f(x)=x+n
F(f)=f'
where f'(x)=x+(n/2).
Now you have a structural argument for why this pattern works.
>>
x/x = x รท x

It never clicked in my head in highschool.

They worked as two completely different functions in my brain.
>>
>>7751274
>defining trivial functions that add numbers is a "structural argument from category theory"

fuck /sci/ and this meme thread
>>
>>7751022
>If you divide by 2 until all the even number's prime factors of 2 are gone, it'll be odd!!
stupid.
If you look at the prime factorization of any of those numbers, it'll be
[math]
1*2^n
[/math]
or
[math]
3*2^n
[/math]
or
[math]
5*2^n
[/math]
etc.
Nothing exciting or special about this.
>>
File: jej.png (75 KB, 1338x695) Image search: [Google]
jej.png
75 KB, 1338x695
>>7751022

Since OP is impressed by meme patterns, let me present something I was playing around with once.
>>
>>7751022
wow if I divide those numbers by 2 if they are even and multply them by 3 and add 1 of they are odd and if I keep repeating that process they all end up at 1. astonishing
>>
>>7751343
Here's a sudoku-like game that has to do with your chart: garamgame.com
>>
>>7751022
Wow, every even number either has an odd factor or it doesn't.

I'm really surprised this didn't win a golden coin.
>>
>>7751236
nope
>>
>>7751357
If 4 divides x, then p=2 y=x/2
If 4 doesn't divide x, x has prime factors including 2, take any one of them but 2 as p and the rest of them as y
>>
>>7751022
>>7751279
>>7751236

Please, stop posting on this board.
>>
I was never introduced to the pascals triangle when I was a kid
Such a shame
>>
>>7751200
>MIND=BLOWN
>U'VE BEEN DOING IT WRONG UR WHOLE LIFE
>I FUCKING LOVE SCIENCE
>ONLY TRUE NERDS WILL GET THIS ONE
>>
File: Integral.png (16 KB, 300x300) Image search: [Google]
Integral.png
16 KB, 300x300
I wish someone showed this to me when I was 10.
Calculus was fun.
Thread replies: 23
Thread images: 4

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