Need a cool function with this domain:

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    Cool Domain Function
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Discussion Overview

The discussion revolves around finding mathematical functions or concepts related to binary representations of passwords, specifically those derived from ASCII characters. Participants explore various mathematical ideas and their potential connections to the binary strings generated by the program.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant shares a program that converts passwords into binary strings and seeks mathematical applications for these strings.
  • Another participant proposes a function defined as f(x) = 0, claiming it is interesting because it equals its derivative at every point.
  • A later reply mentions that the function e^x also shares this property and suggests it is more interesting than the previously mentioned function.
  • Another participant suggests looking into cryptographically-secure hash functions as a mathematical concept related to the binary strings.

Areas of Agreement / Disagreement

Participants express varying opinions on the mathematical functions discussed, with no consensus on which function is the most interesting or relevant to the binary strings.

Contextual Notes

Some mathematical properties and definitions may be assumed but are not explicitly detailed in the discussion.

Jamin2112
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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.
 
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Jamin2112 said:
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. :-p
 
Mandelbroth said:
##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. :-p
Same is true of e^x and I'd say it's a lot more interesting than that. :)
 
Jamin2112 said:
Now I want something mathematical to do with these strings of 0's and 1's.

Look at cryptographically-secure hash functions.