fa'ai

valsi

fa'ai

type

experimental cmavo

creator

krtisfranks

time entered

Mon Aug 4 20:44:23 2014  

English

Definition #57188 - Preferred

 

selma'o

VUhU

definition

mathematical ordered n-ary operator: (pointwise) functional left composition; MATH

$X_1 \circ X_2$

X₁oX₂.

notes

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). MATH

$a_1 \circ a_2 \circ \dots \circ a_n = a_1(a_2(\dots(a_n(\cdot))\dots))$

a₁oa₂o...oa_n = a₁(a₂(...(a_n(⋅))...)) 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".

gloss words

• composition ; pointwise function(al) left composition
• functional composition ; pointwise; left
• functional power ; generalized; pointwise function(al) left composition
• function composition ; pointwise, left
• iterated function ; pointwise function(al) left composition

created by

krtisfranks

vote information

1

time

Sun Jan 21 04:35:56 2018

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