User:Jacob Claassen/sandbox

Omega Notation
Omega notation, originally created by Jacob Claassen in 2016, is a way to write f(f(...(f(x] (Note: when reading this article assume ']' closes all parenthesis). Jacob believes this will create a new branch in graph theory and number theory. The notation is similar to summation and product notations. $\underset{x=b}\overset{a}{\Omega}f(x) =f(...(f(b] \qquad \qquad \overset{a}{\Omega}f(x) =f(...(f(x] \qquad \qquad \overset{a}\underset{c\rightarrow g(c)}{\Omega}f(c,x)=f(c,f(g(c),f(g(g(c)),...,f(\overset{a}{\Omega}g(c),x]$ where there are a number of nestled functions 'f' is 'a'. If this already exists I'm sorry, I don't mean to infringe.