mathematical ordered n-ary operator: (pointwise) functional left composition; X_{1 \circ X}.

Inputs must be appropriate functions; this outputs a function; follow by "ku'e (boi)" in order to include/apply the output function to arguments (thereby producing a number). a_{1 \circ a}= a_{1(a} for any positive integer or countable infinity n and functions a_{i} for all integer i < n+1. Replaces all of the inputs with a (possibly stripped, as appropriate) tuple; for replacing a single argument in a multivariate function with a function (either evaluated or not), use (partial) (e)valuation. Left compose multiple terms by separating the function names with "boi".

- facni
- x
_{1}is an n-ary operator/map which is distributive/linear/homomorphic in or over or from space/structure x_{2}, mapping to space or structure x_{3}, thereby producing a new space/structure x_{4}which is the 'union' of x_{2}and x_{3}endowed with x_{1}; x_{1}distributes over/through all of the operators of x_{2}. - fau'e
*(exp!)* - iterated function left-composition with self: f∘f∘...∘f, n times.
- ja'oi
*(exp!)* - permutation cycle writer notation start