You can adapt the power series definition of cosine to take in a matrix. Does this have a geometric interpretation/definition? Can it be used for various purposes? I actually have extended the matrix product to a broad class of manifolds, so I'm wondering how important this advance is.
Post Closed as "Not suitable for this site" by Ryan Budney, Amir Sagiv, Igor Pak, Dima Pasechnik, Mark Wildon