Corporal

The corporal is equal to \(\{10,100,1,2\} = 10\{\{1\}\}100\) (10 expanded to 100) in BEAF. It surpasses Graham's number (roughly equal to \(\{3,65,1,2\}\)), and is currently the smallest Bowersism that does so. The term was coined by Jonathan Bowers.
Bowers jokingly says about this number, "lets [sic] just put it this way, you DON'T want the Corporal coming up to you asking for a corporal push ups" on his "Size 4 Arrays" page.Size 4 Arrays
It is equal to \(10[1,1]100\) in Username5243's Array Notation, and Username5243 calls this number a Kil-Googol (formerly Meg-Googol).
SeveralLegend9998 calls this number hecta-expanxis.SeveralLegend9998's New Googology Series (Retrieved 2024-06-04)
== Computation ==
Corporal can be computed in the following process:
* \(a_1 = 10\)
* \(a_2 = 10 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow 10 \) (this is tridecal).
* \(a_3 = 10 \uparrow\uparrow\uparrow\uparrow\cdots\uparrow\uparrow\uparrow\uparrow 10 \) with \(a_2\) \(\uparrow\)'s (this is tridecalplex).
* \(a_4 = 10 \uparrow\uparrow\uparrow\uparrow\cdots\uparrow\uparrow\uparrow\uparrow 10 \) with \(a_3\) \(\uparrow\)'s.
* etc.
* Corporal is equal to \(a_{100}\).
== Approximations ==
It can also be written out in arrow notation as: \(100 \left\{ \begin{array}{ll} 10\underbrace{\uparrow \uparrow \cdots \uparrow \uparrow}_{10\underbrace{\uparrow \uparrow \cdots \uparrow \uparrow}_{\underbrace{\cdots}_{10\underbrace{\uparrow \uparrow \cdots \uparrow \uparrow}_{10\underbrace{\uparrow \uparrow \cdots \uparrow \uparrow}_{10}10}10}}10}10 \end{array} \right.\)
== Sources ==
== See also ==
*Corporalplex
ja:コーポラル
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Linear omega level
Category:4 entry linear
Category:BEAF
Category:2-entry series