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Ordinal Hyper-E Notation is extension of Hyper-E Notation.

Rules

\(\#\) is anything.

1. \(Ea = 10^a\)

2. \(E \# a\{1\}b = \underbrace{E \# ...(E \# a)...}_{b}\)

3. \(E \# a\{\alpha + 1\}b\) = \(E \# \underbrace{a\{\alpha\}a ... a\{\alpha\}a}_{b}\), if \(\alpha = S\)

4. \(E \# a\{\alpha\}b\) = \(E \# a\{\alpha[b]\}a\), if \(\alpha = L\)

Numbers

\(\alpha\)-oogol = \(E100\{\alpha\}100\)

\(\alpha\)-oogolkilo = \(E1000\{\alpha\}1000\)

\(\alpha\)-oogolmyria = \(E10000\{\alpha\}10000\)

\(\alpha\)-oogolgong = \(E100000\{\alpha\}100000\)

\(\alpha\)-oogolmega = \(E1000000\{\alpha\}1000000\)

\(\alpha\)-oogolcrora = \(E10000000\{\alpha\}10000000\)

\(\alpha\)-oogolmine = \(E100000000\{\alpha\}100000000\)

\(\alpha\)-oogoldecamine = \(E1000000000\{\alpha\}1000000000\)

\(\alpha\)-oogolhectomine = \(E10000000000\{\alpha\}10000000000\)

\(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\)

Grand \(\alpha\)-oogol = \(E100\{\alpha\}100\{1\}2\)

Grand \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{1\}2\)

Great \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{1\}3\)

Gigantic \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{1\}4\)

Golden \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{1\}\beta\)

Grand Golden \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{1\}\beta\{1\}2\)

Diamond \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{1\}\beta\{1\}\beta\)

Emerald \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{1\}\beta\{1\}\beta\{1\}\beta\)

Super-Golden \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{2\}\beta\)

Super-Diamond \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{2\}\beta\{2\}\beta\)

Tria-Golden \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{3\}\beta\)

Tetra-Golden \(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{4\}\beta\)

Tri-\(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{\alpha\}\beta\)

Tetra-\(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha\}\beta\{\alpha\}\beta\{\alpha\}\beta\)

\(\Gamma\)-\(\alpha\)-oogol\(\beta\) = \(E\beta\{\alpha + 1\}\Gamma\)

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