Draft:Bowers' array notation

Apr 26, 2026 - 18:10

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Definition and rules

← Previous revision		Revision as of 12:38, 26 April 2026
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	# $\{\#, 1\} = \{\#\}$		# $\{\#, 1\} = \{\#\}$
	# $\{a, 1, \#\} = a$		# $\{a, 1, \#\} = a$
	# $\{a, b, 1, \ldots, 1, c, \#\} = \{a, a, \ldots, a, \{a, b-1, 1, \ldots , 1, c, \#\}, c-1, \#\}$ (if the third entry is $1$ , all entries before the last $1$ preceding non- $1$ entry $c$ become the first entry, the last of the ones becomes the original array with the second entry decreased by one, and the said non- $1$ entry is decreased by ~~one~~)		# $\{a, b, 1, \ldots, 1, c, \#\} = \{a, a, \ldots, a, \{a, b-1, 1, \ldots , 1, c, \#\}, c-1, \#\}$ (if the third entry is $1$ , all entries before the last $1$ preceding non- $1$ entry $c$ become the first entry, the last of the ones becomes the original array with the second entry decreased by one, and the said non- $1$ entry is decreased by $1$ )
	# If none of the rules above apply, then $\{a, b, c, \#\} = \{a, \{a, b-1, c, \#\}, c-1, \#\}$ {{cite web \| title = Bowers' Array Notation (4 or more entries) \| url = https://www.mrob.com/pub/math/largenum-7.html \| access-date = 2026-04-10}}		# If none of the rules above apply, then $\{a, b, c, \#\} = \{a, \{a, b-1, c, \#\}, c-1, \#\}$ {{cite web \| title = Bowers' Array Notation (4 or more entries) \| url = https://www.mrob.com/pub/math/largenum-7.html \| access-date = 2026-04-10}}