Function Repository Resource:

RightComposeIndexed

Get the final result of nested application of an indexed list of functions

Contributed by: Wolfram Staff

ResourceFunction["RightComposeIndexed"][{f₁,f₂,f₃,…},x,{i,j,k,…}]

gives the last element of ResourceFunction["RightComposeIndexedList"][{f₁,f₂,f₃,…},x,{i,j,k,…}].

Examples

The final iterate from composing with a list of three functions:

In[1]:=

Out[1]=

Use a list of pure functions:

In[2]:=

$ResourceFunction[ "RightComposeIndexed"][{#^2 + 1 &, 1 - # &, Sqrt[#] &}, 2., {3, 2, 1, 3, 2, 3}]$

Out[2]=