Gag

The Knackeredman, or gag for short, is a function defined as \(\mathrm{gag}(n) = A(n,n)\), where \(A(x,y)\) stands for the Ackermann function. The name came from Alistair Cockburn (of fuga- glory) in one of his forum exchanges.Really Big Numbers Due to Ackermann function's relation with Arrow notation , \(\text{Gag-x} = 2\uparrow^{x-2}(x+3)-3\). Since this function diagnalizes the Ackermann function, Knackeredman is not primitive recursive.
Unlike the gar-, fz-, and (mega)fuga-, Alistair Cockburn never mentioned gag (but did mention hyperoperations) in A fuga really big numbersA fuga really big numbers. He also never used gag as a prefix despite rumors of him doing so; the prefix form was coined by Sbiis Saibian, also known for coining booga-Pointless Large Number Stuff (2.05).
== Sources ==
== See also ==
*-ag
*mag
Category:Numbers discussed by Alistair Cockburn
Category:Functions by Sbiis Saibian
Category:Fuga- family
Category:Functions