nForum - Search Results Feed (Tag: analogy)2024-09-15T16:04:15+00:00https://nforum.ncatlab.org/
Lussumo Vanilla & Feed Publisher
Functorial equations - are there equations whose solution is functor (variational calculus for categhttps://nforum.ncatlab.org/discussion/6001/2014-06-01T14:50:39+00:002014-06-02T13:23:15+00:00tomr2https://nforum.ncatlab.org/account/1243/
Just by simple analogy:Are there functorial Euler-Lagrange equations - equations whose solution is functor (variational calculus for categories)?Are there optimization methods (topology on ...
Just by simple analogy:

Are there functorial Euler-Lagrange equations - equations whose solution is functor (variational calculus for categories)?

Are there optimization methods (topology on categories) whose solution is one distinct object of category or class of objects from category?

This is question from stackoverflow, sorry for double post. If answers to these question exists, then there are several possible applications of this to the other brances of mathematics and sciences, but for the time being I will keep those prospects to myself (in such times and social systems we are living now).
]]>