User:Ynought

"My website " My proudest notations: "! notation""Array hierachy"My notation playground

My googolism playground

My : notation
I will try to make this my fastest growing recursive notation.Here it is.

My graph function "E"
I will try to make this my fastest growing graph function.Here it is.

Ordinal notation
Here it is.

A series of numbers "Yallun"
Here it is.

Classes of numbers
\(\mathcal{O}(a,b)\) is the set of all numbers greater than \(a\) and less or equall to \(b\)

When i say \(\wp=\mathcal{O}(a,b)\) that means that \(\wp\) is the set of \(\mathcal{O}(a,b)\)

Alpha
\(\alpha=\mathcal{O}(0,1)\)

Beta
\(\beta=\mathcal{O}(1,10)\)

Gamma

\(\gamma=\mathcal{O}(10,100)\)

Delta
\(\delta=\mathcal{O}(100,10^{100})\)

Epsilon

\(\epsilon=\mathcal{O}(10^{100},^{100}10)\)

Zeta

\(\zeta=\mathcal{O}(^{100}10,G_{100})\) \(G\) is grahams function

Eta
\(\eta=\mathcal{O}(G_{100},f_{\omega^2}(100))\)

Theta
\(\theta=\mathcal{O}(f_{\omega^2}(100),f_{\omega^\omega}(100)\)

Iota
\(\iota=\mathcal{O}(f_{\omega^\omega}(100),f_{\varepsilon_0}(100))\)

Kappa
\(\kappa=\mathcal{O}(f_{\epsilon_{0 }} (100),f_{\epsilon_{100 }} (100))\)

Lambda
\(\lambda=\mathcal{O}(f_{\epsilon_{100 }} (100)),f_{\zeta_0}(100)))\)

Mu
\(\mu=\mathcal{O}(f_{zeta_{100 }} (100),)\)

Omega
\(\Omega=\mathcal{O}(?,n)\) where \(n\) is larger than the halting time of every turing machine with HUGE+ proof of halting with lenght of at most \(^{^{100}100}100\)

Eth
\(\eth=\mathcal{O}(n,\omega)\) the \(n\) from \(\Omega\)

Milestones:
1000.Edit:11.03.2019

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