Undecation is the 11th hyperoperation, which is equal to the binary function \(\uparrow^{9}\) in Knuth's up-arrow notation.[1]
The n undecated to m is n decated to n decated to ... decated to n (m n's).
"a undecated to b" can be written in BEAF as \(\{a,b,9\}\), in chained arrow notation as \(a \rightarrow b \rightarrow 9\) and in Hyper-E notation as E[a]1#1#1#1#1#1#1#1#b.
Undecational growth rate is comparable to \(f_{10}(n)\) in the fast-growing hierarchy.
Cloudy176 called it Hendecation in his faketest F page.[2]
Examples[]
n undecated to 2 = \(a \uparrow^{9} 2\) = \(a \uparrow^{8} a\)
Sources[]
See also[]
Main article: hyper operator
Hyper-operators: successor · addition · multiplication · exponentiation · tetration · pentation · hexation · heptation · octation · enneation · decation (un/doe/tre) · vigintation (doe) · trigintation · centation (tri) · docentation · myriation · circulationBowers' extensions: expansion · multiexpansion · powerexpansion · expandotetration · explosion (multi/power/tetra) · detonation · pentonation
Saibian's extensions: hexonation · heptonation · octonation · ennonation · deconation
Tiaokhiao's extensions: megotion (multi/power/tetra) · megoexpansion (multi/power/tetra) · megoexplosion · megodetonation · gigotion (expand/explod/deto) · terotion · more...