Decation refers to the 10th hyperoperation starting from addition. It is equal to the binary function \(\uparrow^{8}\), in Knuth's up-arrow notation.[1]
"a decated to b" can be written in BEAF and BAN as \(\{a,b,8\}\), in chained arrow notation as \(a \rightarrow b \rightarrow 8\), in the Graham Array Notation as \([a,b,8]\), and in Hyper-E notation as E[a]1#1#1#1#1#1#1#b.
Decational growth rate is equivalent to \(f_9(n)\) in the fast-growing hierarchy.
Sources[]
- ↑ Decation is mentioned on Cookiefonster's Large Number Site
Pseudocode[]
Below is an example of pseudocode[1] for decation.
function decation(a, b): result := 1 repeat b times: result := a ennanated to result return result
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...