I don't know how to search for this to see if it's a real thing, whether already existing or a normal thing computers already do or a severe misunderstanding of what would even be practical; like I feel like it's " Terrence Howard 1x1=2" level of misunderstanding/theorizing but I guess it doesn't hurt.

do we have a way to bypass large uploads and downloads and just algorithmically generate the binary data of a file given some expression and CPU time?

So at some point, a file is a sequence of ones and zeros. An immense number. But a discreet number.

Say we popped a "0." At the front, now it's an ultra precise value between 0 and 1, buttloads of significant digits.

How hard would it be to generate some f(x) and an input that would spit out a rational or irrational value that would truncate to our desired bit string, and pass that expression as text instead of the whole file itself? There would be infinite non-unique answers right?

I'm only worried about saving tons of bandwidth on the transmission, not the amount of work done to find the function to encode or to produce the final file.

The more I think about this and try to write it down the more I feel like I'm some asshole who thinks they've innovated by slicing bread.

#mathstr #nodumbquestions #somedumbquestions