User blog:Googleaarex/ExE series

E Notation
\(\bullet\) is anything.

1. \(E(a)b = a^b\)

2. \(E\bullet = E(10)\bullet\)

Googol = \(E100 = 10^{100}\)

Googolplex = \(E10^{100} = 10^{10^{100}}\)

Googolplexian or Googolduplex = \(E10^{10^{100}} = 10^{10^{10^{100}}}\)

Googoltriplex = \(E10^{10^{10^{100}}} = 10^{10^{10^{10^{100}}}}\)

Hyper-E Notation
3. \(E(n)\bullet a \# b = \underbrace{E(n)\bullet (... E(n)\bullet a ...)}_{b}\)

Grangol = \(E100 \# 100\)

Grangolplex = \(E100 \# 101\)

Grangoldex or Grangolgrangolex = \(E100 \# (E100 \# 100)\)

Grangoldudex or Grangoldugrangolex = \(E100 \# (E100 \# (E100 \# 100))\)

Greagol = \(E100 \# 100 \# 100\)

Greagolplex = \(10^{E100 \# 100 \# 100}\)

Greagoldex or Greagolgrangolex = \(E100 \# (E100 \# 100 \# 100)\)

Greagolthrex or Greagolgreagolex = \(E100 \# 100 \# (E100 \# 100 \# 100)\)

Gigangol = \(E100 \# 100 \# 100 \# 100\)

Gigangoltetrex or Gigangolgigangolex = \(E100 \# 100 \# 100 \# (E100 \# 100 \# 100 \# 100)\)

Gorgegol = \(E100 \# 100 \# 100 \# 100 \# 100\)

Gorgegolpentex or Gorgegolgorgegolex = \(E100 \# 100 \# 100 \# 100 \# (E100 \# 100 \# 100 \# 100 \# 100)\)

Gulgol = \(E100 \# 100 \# 100 \# 100 \# 100 \# 100\)

Gaspgol = \(E100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100\)

Ginorgol = \(E100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100\)

Extended Hyper-E Notation
\(\circ\) is collection of #, *, and ^'s.

4. \(E(n)\bullet a \circ\# b = E(n)\bullet \underbrace{a \circ a ... a \circ a}_{b}\)

Gugold = \(E100 \#\# 100\)

Gugoldsuplex or Gugoldgugoldex = \(E100 \#\# (E100 \#\# 100)\)