There are so many real-world examples of this it's hard to pick one. Basically any time you are doing one computation and then doing another computation, that is composition of functions.

Jul 24, 2018 · It doesn't cause confusion because the function being talked about is quite straightforward. But I'm still interested in knowing what the "correct" way/s to describe g ∘ f g ∘ …

It is obvious that function composition is/ (must be) associative, but attempts at modest generalization, leave me questioning where, if anywhere, there might be a bit of sleight of hand.

Sep 10, 2014 · Notation for repeated composition of functions Ask Question Asked 11 years, 4 months ago Modified 3 years, 4 months ago

Is there a commonly-accepted operator which defines multiple function composition? I have not been able to find one on any of the related Wikipedia pages. In one of my proofs, I've been …

A classic result of Ritt shows that polynomials that commute under composition must be, up to a linear homeomorphism, either both powers of x x, both iterates of the same polynomial, or …

Jul 17, 2015 · The standard definition (say from Wolfram) is in fact the second one. Also, the standard definition allows the range of the function to be a subset of the stated codomain. …

Show the composition f(g(x)) f (g (x)) is continuous at a a. My idea: Can I go straight from definition and take δ = min{δ1,δ2} δ = min {δ 1, δ 2}, where δ1 δ 1 is used for the continuity of …

In particular, it gives the formula for a for the Fourier transform of a composition. Since RT^ R T ^ is a composition of linear functions, it is linear. Thus, to understand RT^ R T ^ it suffices to …

Jun 23, 2015 · I have a question for my math study. It seems quite simple, but I just can't find a counterexample for the following: The composition of two functions is always commutative …