Here are all parts of ExE series:
- Hyper-E Notation
- Extended Hyper-E Notation
- Cascading-E Notation
- Extended Cascading-E Notation
- Extended Up-Arrow E Notation
- There is sub-items of this notation.
- Nested Up-Arrow E Notation
- Array Up-Arrow E Notation
- ...
Let \(E100\#\uparrow_{1}\#100 = E100\#\uparrow_{1}(100)100 = E100\#\uparrow^{100}\#100 = E100\#\underbrace{\uparrow\uparrow ... \uparrow\uparrow}_{100}\#100\).
Then \(E100(\#\uparrow_{1}\#)\uparrow_{1}\#100 = E100(\#\uparrow_{1}\#)\uparrow^{100}(\#\uparrow_{1}\#)100\), \(E100\#\uparrow_{1}\# > \#100 = E100\underbrace{((...(\#\uparrow_{1}\#)\uparrow_{1}\#)...)\uparrow_{1}\#)\uparrow_{1}\#}_{100}100\), etc.
There is \(\#\uparrow_{1}\#\# = \underbrace{\#\uparrow_{1}\# > ... > \#\uparrow_{1}\#}_{\#}\), \(\#\uparrow_{1}\#\uparrow_{1}\# = \#\uparrow_{1}\#\underbrace{\uparrow\uparrow ... \uparrow\uparrow}_{\#}\#\), \(\#\uparrow_{1}\uparrow\# = \underbrace{\#\uparrow_{1}\# ... \#\uparrow_{1}\#}_{\#}\), \(\#\uparrow_{1}\uparrow_{1}\# = \#\uparrow_{1}\underbrace{\uparrow\uparrow ... \uparrow\uparrow}_{\#}\#\), \(\#\uparrow_{2}\# = \#\underbrace{\uparrow_{1}\uparrow_{1} ... \uparrow_{1}\uparrow_{1}}_{\#}\#\), etc.
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- Googole = \(E100\#\uparrow\#100\)
- Giggole = \(E100\#\uparrow\uparrow\#100\)
- Gaggole = \(E100\#\uparrow\uparrow\uparrow\#100\)
- Boogole = \(E100\#\uparrow_{\uparrow}\#100\)
- Troogole = \(E100\#\uparrow_{\uparrow\uparrow}\#100\)
- Superoogole = \(E100\#\uparrow_{\uparrow_{\uparrow}}\#100\)
- Squaroogole = \(E100\#\uparrow_{\uparrow_{\uparrow\uparrow}}\#100\)
- Toperoogole = \(E100\#\uparrow_{\uparrow_{\uparrow_{\uparrow}}}\#100\)
- Poperoogole = \(E100\#\uparrow_{\uparrow_{\uparrow_{\uparrow_{\uparrow}}}}\#100\)
- Omegeroogole = \(E100\#\uparrow_{,\uparrow}\#100\)
- Duomegeroogole = \(E100\#\uparrow_{,\uparrow\uparrow}\#100\)
- Ogigeroogole = \(E100\#\uparrow_{,,\uparrow}\#100\)
- Osuperoogole = \(E100\#\uparrow_{,_{\uparrow}\uparrow}\#100\)
- Finaloogole = \(E100\#\uparrow_{(|,_{1}\uparrow)\uparrow}\#100\)