The xi function is an uncomputable googological function defined by Adam P. Goucher, based on a variant of SKI combinator calculus. It is one of the fastest-growing functions ever defined, and it is significantly more powerful than Rado's sigma function. Goucher mistakenly claimed that Ξ(n) outgrew Rayo(n) and that it took the place as the fastest-growing function yet defined.
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