Hey Veeky Forums, user here. the opposite of addition is subtraction. the opposite of multiplication is division...

hey Veeky Forums, user here. the opposite of addition is subtraction. the opposite of multiplication is division. the opposite of power is root. the opposite of differentiation is integration.
what's the opposite of [b]factorial[/b]?

inverse gamma function where it is bijective

factorial is just a series of multiplications so a series of divisions

define a new operation ? by
a?=a/((a-1)!)

then (a!)?=a!/((a!-1)!)=a

5! = 1x2x3x4x5
so
5!^-1 = 1/1x1/2x1/3x1/4x1/5

/thread

congratulations, you're retarded

Pretty sure that was bait

>inverse of differentiation is integration
K then give me a primitive of the Thomae function fagglord.

The opposite of power is log not root

The opposite of the exponential function is log.
The opposite of power is root.
Example: 2^3= 8 (this is power), 3rd root of 8 is 2.
e^3 = 20.08. log(20.08)=3.
Now the real question is: what is e?

(x^2)*(x^1/2)=x
That's all root is.

But... Thats wrong

>these are the people you share a board with

lmao

I don't think functions can have sexuality

but he's not talking about the inverse of the factorial function just the inverse of the operation, which I suppose would just be the factorial operation itself. multiplication and division are fundamentally the same thing, aren't they?

[math]x^2 \cdot \sqrt{x} = x^{2.5} \neq x [/math]

1 / [b]factorial[/b] ?

Actually, that would be a number smaller than 1.
It's ( factorial(N) / (factorial(N))/log(factorial(N))) = N

that was bait.
Also, good job rendering your expression meaningless by not having enough parenthesis.
( factorial(5) / (factorial(5))/log(factorial(5))) = 5
( 120 / (120)/log120) = 5
( 120 / 120/4.787...) = 5
( 120 / 25.065...) = 5 or ( 1/4.787...) = 5
4.787... = 5 or ( 0.209...) = 5

I meant x^(2*1/2)=x

>he's not talking about the inverse of the factorial function just the inverse of the operation
what did he mean by this