Need a cool function with this domain:

[Jamin2112]

So I made a program that, so far, converts a password to a string of the binary representation of its successive ASII characters. Here's some output for an example:

"gs0dpsrln2" --------> 01100111011100110011000001100100011100000111001101110010011011000110111000110010
"8zoxdsjt9y" --------> 00111000011110100110111101111000011001000111001101101010011101000011100101111001
"yok9hn9df0" --------> 01111001011011110110101100111001011010000110111000111001011001000110011000110000
"tg5kc1ujyl" --------> 01110100011001110011010101101011011000110011000101110101011010100111100101101100
"ucyljs" --------> 011101010110001101111001011011000110101001110011
"h7kl9f3odi" --------> 011010000011011101101011011011000011100101100110001100110110111101100100011010010
"dtgrv 3d7c" --------> 011001000111010001100111011100100111011000100000001100110110010000110111011000110
"ghp0" --------> 01100111011010000111000000110000
"dsw 0qukgk" --------> 011001000111001101110111001000000011000001110001011101010110101101100111011010110
"qh3zz0j1vk" --------> 011100010110100000110011011110100111101000110000011010100011000101110110011010110


Now I want something mathematical to do with these strings of 0's and 1's.

 

[Mandelbroth]

So I made a program that, so far, converts a password to a string of the binary representation of its successive ASII characters. Here's some output for an example:

"gs0dpsrln2" --------> 01100111011100110011000001100100011100000111001101110010011011000110111000110010
"8zoxdsjt9y" --------> 00111000011110100110111101111000011001000111001101101010011101000011100101111001
"yok9hn9df0" --------> 01111001011011110110101100111001011010000110111000111001011001000110011000110000
"tg5kc1ujyl" --------> 01110100011001110011010101101011011000110011000101110101011010100111100101101100
"ucyljs" --------> 011101010110001101111001011011000110101001110011
"h7kl9f3odi" --------> 011010000011011101101011011011000011100101100110001100110110111101100100011010010
"dtgrv 3d7c" --------> 011001000111010001100111011100100111011000100000001100110110010000110111011000110
"ghp0" --------> 01100111011010000111000000110000
"dsw 0qukgk" --------> 011001000111001101110111001000000011000001110001011101010110101101100111011010110
"qh3zz0j1vk" --------> 011100010110100000110011011110100111101000110000011010100011000101110110011010110


Now I want something mathematical to do with these strings of 0's and 1's.

I've got a cool function!

$f: \mathbb{R}\rightarrow\mathbb{R} \\ f(x) = 0$It's a function that equals its derivative at every single point. It must be cool!
Specify what you want, please.

 

[TylerH]

$f: \mathbb{R}\rightarrow\mathbb{R} \\ f(x) = 0$It's a function that equals its derivative at every single point. It must be cool!
Specify what you want, please.

Same is true of e^x and I'd say it's a lot more interesting than that. :)

 

[jhae2.718]

Now I want something mathematical to do with these strings of 0's and 1's.

Look at cryptographically-secure hash functions.