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This is ordinal notation i came up recently.

NOTE: This is not the true O ordinal notation. Original O ordinal notation will come soon.

Basic (Extension 0)

O(0) = 0

2-entry array (Extension 1)

O(α,β) = A(α,β)

Linear array (Extension 2)

O(α,...,β) = φ(α,...,β)

Nested Linear Array (Extension 3)

& = any array O(α(β)) = O(α,α,α,...,α,α,α) with β entries

O(α(&)) = the same as O(&) but it modifies the () instead of the main function

Hypernested Linear Array (Extension 4)

Coming soon!

Arrow Nested Linear Array (Extension 5)

Coming soon!


More extensions coming soon!

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