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 $g \circ f$ …

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.

Explore related questions notation function-and-relation-composition See similar questions with these tags.

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 both Chebyshev …

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 finding it ...

In particular, it gives the formula for a for the Fourier transform of a composition. Since $\hat {R_T}$ is a composition of linear functions, it is linear. Thus, to understand $\hat {R_T}$ it suffices to examine its …

@AméricoTavares I usually draw the function in this way eevry time it helps me with composition of functions and when I "play" with algebraic structures but I was always scared to use them in order 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 Could you …

Jun 13, 2012 · In fact, matrix multiplication is defined the (somewhat strange) way it is precisely so that it corresponds to composition of linear transformations.