FANDOM


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

Gamegol = \(E100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100\)

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 = \(E100 \#\# 100\)

Gugoldasuplex or Gugoldagugoldex = \(E100 \#\# (E100 \#\# 100)\)

Graatagold = \(E100 \#\# 100 \# 100\)

Greegold = \(E100 \#\# 100 \# 100 \# 100\)

Grinningold = \(E100 \#\# 100 \# 100 \# 100 \# 100\)

Golaagold = \(E100 \#\# 100 \# 100 \# 100 \# 100 \# 100\)

Gruelohgold = \(E100 \#\# 100 \# 100 \# 100 \# 100 \# 100 \# 100\)

Gaspgold = \(E100 \#\# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100\)

Ginorgold = \(E100 \#\# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100\)

Gamegold = \(E100 \#\# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100 \# 100\)

Gugolthra = \(E100 \#\# 100 \#\# 100\)

Gugolthragugolthraex = \(E100 \#\# 100 \#\# (E100 \#\# 100 \#\# 100)\)

Graatagolthra = \(E100 \#\# 100 \#\# 100 \# 100\)

Gugoltelsa = \(E100 \#\# 100 \#\# 100 \#\# 100\)

Gugolpeta = \(E100 \#\# 100 \#\# 100 \#\# 100 \#\# 100\)

Gugolhexa = \(E100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100\)

Gugolhepta = \(E100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100\)

Gugolocta = \(E100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100\)

Gugolnona = \(E100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100 \#\# 100\)

Throogol = \(E100 \#\#\# 100\)

Thrangol = \(E100 \#\#\# 100 \# 100\)

Thrugold = \(E100 \#\#\# 100 \#\# 100\)

Tristo-throogol = \(E100 \#\#\# 100 \#\#\# 100\)

Teristo-throogol = \(E100 \#\#\# 100 \#\#\# 100 \#\#\# 100\)

Pesto-throogol = \(E100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100\)

Existo-throogol = \(E100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100\)

Episto-throogol = \(E100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100\)

Ogisto-throogol = \(E100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100\)

Nonsto-throogol = \(E100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100 \#\#\# 100\)

Teroogol = \(E100 \#\#\#\# 100\)

Terangol = \(E100 \#\#\#\# 100 \# 100\)

Terugold = \(E100 \#\#\#\# 100 \#\# 100\)

Teri-throogol = \(E100 \#\#\#\# 100 \#\#\# 100\)

Teri-tristo-throogol = \(E100 \#\#\#\# 100 \#\#\# 100 \#\#\# 100\)

Tristo-teroogol = \(E100 \#\#\#\# 100 \#\#\#\# 100\)

Petoogol = \(E100 \#\#\#\#\# 100\)

Peti-teroogol = \(E100 \#\#\#\#\# 100 \#\#\#\# 100\)

Tristo-petoogol = \(E100 \#\#\#\#\# 100 \#\#\#\#\# 100\)

Ectoogol = \(E100 \#\#\#\#\#\# 100\)

Zettoogol = \(E100 \#\#\#\#\#\#\# 100\)

Yottoogol = \(E100 \#\#\#\#\#\#\#\# 100\)

Yotti-zetti-ecti-peti-teri-throogol = \(E100 \#\#\#\#\#\#\#\# 100 \#\#\#\#\#\#\# 100 \#\#\#\#\#\# 100 \#\#\#\#\# 100 \#\#\#\# 100 \#\#\# 100\)

Tristo-yotti-ecti-teristo-peti-pesto-teri-tristo-thrinorgolthra = \(E100 \#\#\#\#\#\#\#\# 100 \#\#\#\#\#\#\#\# 100 \#\#\#\#\#\# 100 \#\#\#\#\# 100 \#\#\#\#\# 100 \#\#\#\#\# 100 \#\#\#\# 100 \#\#\#\# 100 \#\#\#\# 100 \#\#\#\# 100 \#\#\# 100 \#\#\# 100 \#\# 100 \#\# 100 \#\# 8\)

Xotoogol = \(E100 \#\#\#\#\#\#\#\#\# 100\)

Cascading-E Notation

\(\square\) is number of ^'s

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

5. \(E(n)\bullet a \circ \circ\text{^}\# b = E(n)\bullet a \circ \underbrace{\circ\text{*}\circ ... \circ\text{*}\circ}_{b} a\)

6. \(E(n)\bullet a \circ \circ\square(\circ\#) b = E(n)\bullet a \circ (\circ\square\circ)\square\# b\)

Godgahlah = \(E100 \#\text{^}\# 100\)

Godgahlahgodgahlahex = \(E100 \#\text{^}\# (E100 \#\text{^}\# 100)\)

Grandgahlah = \(E100 \#\text{^}\# 100 \# 100\)

Greagahlah = \(E100 \#\text{^}\# 100 \# 100 \# 100\)

Gugoldgahlah = \(E100 \#\text{^}\# 100 \#\# 100\)

Gugolthragahlah = \(E100 \#\text{^}\# 100 \#\# 100 \#\# 100\)

Throogahlah = \(E100 \#\text{^}\# 100 \#\#\# 100\)

Teroogahlah = \(E100 \#\text{^}\# 100 \#\#\#\# 100\)

Tristo-godgahlah = \(E100 \#\text{^}\# 100 \#\text{^}\# 100\)

Godgoogahlah = \(E100 \#\text{^}\#\text{*}\# 100\)

Godgoldgahlah = \(E100 \#\text{^}\#\text{*}\#\# 100\)

Godthroogahlah = \(E100 \#\text{^}\#\text{*}\#\#\# 100\)

Godteroogahlah = \(E100 \#\text{^}\#\text{*}\#\#\#\# 100\)

Godduogahlah = \(E100 \#\text{^}\#\text{*}\#\text{^}\# 100\)

Godgooduogahlah = \(E100 \#\text{^}\#\text{*}\#\text{^}\#\text{*}\# 100\)

Godtriogahlah = \(E100 \#\text{^}\#\text{*}\#\text{^}\#\text{*}\#\text{^}\# 100\)

Godtetrogahlah = \(E100 \#\text{^}\#\# 4\)

Godpentogahlah = \(E100 \#\text{^}\#\# 5\)

Godhexogahlah = \(E100 \#\text{^}\#\# 6\)

Godheptogahlah = \(E100 \#\text{^}\#\# 7\)

Godoctogahlah = \(E100 \#\text{^}\#\# 8\)

Godnonogahlah = \(E100 \#\text{^}\#\# 9\)

Godsquarelah = \(E100 \#\text{^}\#\# 100\)

Godgoosquarelah = \(E100 \#\text{^}\#\#\text{*}\# 100\)

Godgoldsquarelah = \(E100 \#\text{^}\#\#\text{*}\#\# 100\)

Godgahsquarelah = \(E100 \#\text{^}\#\#\text{*}\#\text{^}\# 100\)

Godduosquarelah = \(E100 \#\text{^}\#\#\text{*}\#\text{^}\#\# 100\)

Godcubelah = \(E100 \#\text{^}\#\#\# 100\)

Godduocubelah = \(E100 \#\text{^}\#\#\#\text{*}\#\text{^}\#\#\# 100\)

Godtesseractlah = \(E100 \#\text{^}\#\text{^}\# 4\)

Godtesseractlah = \(E100 \#\text{^}\#\text{^}\# 5\)

Godhexeractlah = \(E100 \#\text{^}\#\text{^}\# 6\)

Godhepteractlah = \(E100 \#\text{^}\#\text{^}\# 7\)

Godocteractlah = \(E100 \#\text{^}\#\text{^}\# 8\)

Godenneractlah = \(E100 \#\text{^}\#\text{^}\# 9\)

Godgathor = \(E100 \#\text{^}\#\text{^}\# 100\)

Hyper-Cascading-E Notation

7. \(E(n)\bullet a \circ \circ\square\text{^}\# b = E(n)\bullet a \circ \underbrace{\circ\square\circ ... \circ\square\circ}_{b} a\)

Tethrathoth = \(E100 \#\text{^^}\# 100\)

Tetsquarethoth = \(E100 \#\text{^^}\#\# 100\)

Tethrathor = \(E100 \#\text{^^}\#\text{^^}\# 100\)

Tetothol = \(E100 \#\text{^^}\#\text{^^}\#\text{^^}\# 100\)

Tetpeptathol = \(E100 \#\text{^^}\#\text{^^}\#\text{^^}\#\text{^^}\# 100\)

Trithrathoth = \(E100 \#\text{^^^}\# 100\)

Terathrathoth = \(E100 \#\text{^^^^}\# 100\)

Petathrathoth = \(E100 \#\text{^^^^^}\# 100\)

Exathrathoth = \(E100 \#\text{^^^^^^}\# 100\)

Zettathrathoth = \(E100 \#\text{^^^^^^^}\# 100\)

Yottathrathoth = \(E100 \#\text{^^^^^^^^}\# 100\)

Xotathrathoth = \(E100 \#\text{^^^^^^^^^}\# 100\)

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