Is there a branch of math that studies how information can be translated from one domain to another?

Question

I was just thinking to myself, "it would be cool if I could visualize all the classes in the framework on my screen" but then I thought "what if there are more classes than there are pixels?"...

Anyway, it seems like something that mathematics might formalize in order to answer a question like, "given N pixels, how many Y would you possibly be able to visualize?"

I'd just like to know what to call this so I can Google it.

Category theory? - If by information you mean structure, rather than some quantification thereof. — alancalvitti, Feb 08 '13 at 04:34

score 2 · Answer 1 · answered Feb 08 '13 at 04:22

2

Your question as you ask it seems to be a combinatorics question.

Based on your title, you might want to look into information theory.

answered Feb 08 '13 at 04:22

Brett Frankel

9,817

score 2 · Answer 2 · answered Feb 08 '13 at 04:22

2

Information theory is a branch of math/computer science that has to do with limits on storing, compressing, and transferring information. This sounds like what you are asking about.

answered Feb 08 '13 at 04:22

davidlowryduda

91,687

Is there a branch of math that studies how information can be translated from one domain to another?

2 Answers2