User blog comment:Mango523WNR/non-integer BEAF/@comment-38817512-20200216092450

Currently, the only real number arrays that we can calculate are {x, y} for x,y∈ℝ and {x, n, 2} for x∈ℝ and n∈ℕ. {x, y} is just x^y and exponentiation is defined for real numbers. {x, n, 2} is x^{x, n-1, 2} if n>0 and 1 if n=1. I tried to define {n, x, 2} for x∈ℚ, but there doesn't seem to be any easy solution. Of course, for x∈ℝ, x is a limit of rational numbers, so {n, x, 2} would be the limit of {n, y, 2} as y approaches x, but {n, y, 2} is undefined, so {n, x, 2} is undefined too.