User blog:MilkyWay90/New Array Notation

Notes:

\(F(M(x_0, x_1, ..., x_n)) = M(F(x_0), F(x_1), F(\ldots), F(x_n))\)

\(M^{1}(x_0, \ldots, x_n) = M(x_0, \ldots, x_n)\)

\(M^{n+1}(x_0, \ldots, x_n) = M(M^{n}(x_0, \ldots, x_n), \ldots, M^{n}(x_0, \ldots, x_n))\)

Zero Dimensional:

\(M(0) = 2\)

\(M(n) = M(n - 1) ^ {n}\)

One Dimensional:

TO BE CONTINUED