# Talk:Ackermann function

 Definition:  Mathematical function ${\displaystyle A}$ of two variables, such that for integer arguments ${\displaystyle n,n}$ it can be expressed as follows: ${\displaystyle A(m,n)={\begin{cases}n+1&{\mbox{if }}m=0\\A(m-1,1)&{\mbox{if }}m>0{\mbox{ and }}n=0\\A(m-1,A(m,n-1))&{\mbox{if }}m>0{\mbox{ and }}n>0.\end{cases}}}$. [d] [e]