Circulation and the Fast-Growing Hierarchy
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For an ordinal alpha greater than one, [Image: svg.image?f_\alpha(x)] in the Fast-growing hierarchy is greater than 2[alpha+1]x. So should not the super function of 2 circulated to the x be less than [Image: svg.image?f_\omega(x)]? But on the Googology Wiki page for circulation says that "Using only nonnegative integers, there are only four cases where circulation is defined:".
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ฅ(ミ⚈ ﻌ ⚈ミ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\
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Circulation and the Fast-Growing Hierarchy - by Catullus - 06/04/2022, 03:17 AM

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