About: Hyper-Moser notation   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

\(M(n,m \#) = \underbrace{M(M(M(...,m-1\#),m-1\#),m-1\#)}_{n~M ext s}\) (\(m>1\)) \(M(n,1) = n^n\) (only 2 entries and \(m=1\)), or n in a triangle = triangle(n). \(M(\#\ 0) = M(\#)\) (last entry is 0) \(M(n,0,0,...,0,0,m) = M(\underbrace{n,n...n,n}_{n+1},m-1)\) (otherwise)

AttributesValues
rdfs:label
  • Hyper-Moser notation
rdfs:comment
  • \(M(n,m \#) = \underbrace{M(M(M(...,m-1\#),m-1\#),m-1\#)}_{n~M ext s}\) (\(m>1\)) \(M(n,1) = n^n\) (only 2 entries and \(m=1\)), or n in a triangle = triangle(n). \(M(\#\ 0) = M(\#)\) (last entry is 0) \(M(n,0,0,...,0,0,m) = M(\underbrace{n,n...n,n}_{n+1},m-1)\) (otherwise)
dcterms:subject
dbkwik:googology/p...iPageUsesTemplate
Type
  • Hierarchy
fgh
  • \omega^\omega
abstract
  • \(M(n,m \#) = \underbrace{M(M(M(...,m-1\#),m-1\#),m-1\#)}_{n~M ext s}\) (\(m>1\)) \(M(n,1) = n^n\) (only 2 entries and \(m=1\)), or n in a triangle = triangle(n). \(M(\#\ 0) = M(\#)\) (last entry is 0) \(M(n,0,0,...,0,0,m) = M(\underbrace{n,n...n,n}_{n+1},m-1)\) (otherwise)
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