ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 12 Dec 2016 20:29:49 +0100Apply Functions Iterativelyhttps://ask.sagemath.org/question/35989/apply-functions-iteratively/I have a few functions `R1,R2,R3,R4` which act on vectors. If `X = matrix(3,1,(x0,y0,r))` then I have `R2` defined as
`def R2(X):
return matrix(3,1,(-X[0,0],X[1,0],X[2,0]))`
For instance, if `v = matrix(3,1,(1,1,1))`, then applying R2 to v gives the matrix $(-1,1,1)$.
I'd like to apply about 10 "levels" of iteration of these functions and have the output as a list of vectors.
So, the list should be
$R1(v), R2(v),R3(v),R4(v),R1^2(v),R2(R1(v)),R3(R1(v)),R4(R1(v)),R1^3(v),...,R1^{10}(v)\,...,R4^{10}(v)$
(as vectors)
where $R_j^n = R_j \circ \cdots \circ R_j$ $n$ times.
How can I do this?Daniel LMon, 12 Dec 2016 20:29:49 +0100https://ask.sagemath.org/question/35989/