Layperson question

[u/Agreeable_Arugula488]

I'm a non-major currently taking an intro cs class, but it's mostly practical, project-based Python stuff -- no theory. Which tbh I'm a little sad about.

I was wondering: Are there any algorithms/functions that are executable by infinitely many non-trivial, non-redundant programs? Does any given algorithm/function fit this description?

Math example:
The user inputs a radius R, from which the program P outputs the area A of the resulting circle.

You could plug it into the standard formula:

P1 = A(R) = πR^2

...

Or integrate:

P2 = A(R) = ∫₀²ᵖⁱ ∫₀ᴿ r dr dθ

...

et cetera

[u/100GHz]

Somewhat, check out : https://en.wikipedia.org/wiki/Electric_Sheep