left function notation

We are said to be using if we write functions to the left of their arguments. That is, if $\alpha :X\to Y$ is a function and $x\in X$, then $\alpha x$ is the image of $x$ under $\alpha$.

Furthermore, if we have a function $\beta :Y\to Z$, then we write the composition of the two functions as $\beta \alpha :X\to Z$, and the image of $x$ under the composition as $\beta \alpha x=(\beta \alpha )x=\beta (\alpha x)$.

Compare this to right function notation.

Title	left function notation
Canonical name	LeftFunctionNotation
Date of creation	2013-03-22 12:09:18
Last modified on	2013-03-22 12:09:18
Owner	antizeus (11)
Last modified by	antizeus (11)
Numerical id	6
Author	antizeus (11)
Entry type	Definition
Classification	msc 03E20
Synonym	left notation