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Knuth Up-Arrow Notation -- from Wolfram MathWorld

Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60): m^n m·m...m_()_(n) m^^n m^m^...^m_()_(n) m^^^n m^^m^^...^^m_()_(n) For example, m^n = m^n (1) m^^n = m^...^m_()_(n)=m^(m^(·^(·^(·^m))))_()_(n) (2) m^^2 = m^m_()_(2)=m^m=m^m (3) m^^3 = m^m^m_()_(3)=m^(m^m) (4) = m^m^m=m^(m^m) (5) m^^^2 = m^^m_()_(2)=m^^m=m^(m^(·^(·^(·^m))))_()_(m) (6) ...



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Knuth Up-Arrow Notation -- from Wolfram MathWorld

https://mathworld.wolfram.com/KnuthUp-ArrowNotation.html

Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60): m^n m·m...m_()_(n) m^^n m^m^...^m_()_(n) m^^^n m^^m^^...^^m_()_(n) For example, m^n = m^n (1) m^^n = m^...^m_()_(n)=m^(m^(·^(·^(·^m))))_()_(n) (2) m^^2 = m^m_()_(2)=m^m=m^m (3) m^^3 = m^m^m_()_(3)=m^(m^m) (4) = m^m^m=m^(m^m) (5) m^^^2 = m^^m_()_(2)=m^^m=m^(m^(·^(·^(·^m))))_()_(m) (6) ...



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https://mathworld.wolfram.com/KnuthUp-ArrowNotation.html

Knuth Up-Arrow Notation -- from Wolfram MathWorld

Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60): m^n m·m...m_()_(n) m^^n m^m^...^m_()_(n) m^^^n m^^m^^...^^m_()_(n) For example, m^n = m^n (1) m^^n = m^...^m_()_(n)=m^(m^(·^(·^(·^m))))_()_(n) (2) m^^2 = m^m_()_(2)=m^m=m^m (3) m^^3 = m^m^m_()_(3)=m^(m^m) (4) = m^m^m=m^(m^m) (5) m^^^2 = m^^m_()_(2)=m^^m=m^(m^(·^(·^(·^m))))_()_(m) (6) ...

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      Knuth Up-Arrow Notation -- from Wolfram MathWorld
    • DC.Title
      Knuth Up-Arrow Notation
    • DC.Creator
      Weisstein, Eric W.
    • DC.Description
      Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60): m^n m·m...m_()_(n) m^^n m^m^...^m_()_(n) m^^^n m^^m^^...^^m_()_(n) For example, m^n = m^n (1) m^^n = m^...^m_()_(n)=m^(m^(·^(·^(·^m))))_()_(n) (2) m^^2 = m^m_()_(2)=m^m=m^m (3) m^^3 = m^m^m_()_(3)=m^(m^m) (4) = m^m^m=m^(m^m) (5) m^^^2 = m^^m_()_(2)=m^^m=m^(m^(·^(·^(·^m))))_()_(m) (6) ...
    • description
      Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60): m^n m·m...m_()_(n) m^^n m^m^...^m_()_(n) m^^^n m^^m^^...^^m_()_(n) For example, m^n = m^n (1) m^^n = m^...^m_()_(n)=m^(m^(·^(·^(·^m))))_()_(n) (2) m^^2 = m^m_()_(2)=m^m=m^m (3) m^^3 = m^m^m_()_(3)=m^(m^m) (4) = m^m^m=m^(m^m) (5) m^^^2 = m^^m_()_(2)=m^^m=m^(m^(·^(·^(·^m))))_()_(m) (6) ...

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      Knuth Up-Arrow Notation -- from Wolfram MathWorld
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      Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60): m^n m·m...m_()_(n) m^^n m^m^...^m_()_(n) m^^^n m^^m^^...^^m_()_(n) For example, m^n = m^n (1) m^^n = m^...^m_()_(n)=m^(m^(·^(·^(·^m))))_()_(n) (2) m^^2 = m^m_()_(2)=m^m=m^m (3) m^^3 = m^m^m_()_(3)=m^(m^m) (4) = m^m^m=m^(m^m) (5) m^^^2 = m^^m_()_(2)=m^^m=m^(m^(·^(·^(·^m))))_()_(m) (6) ...

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      Knuth Up-Arrow Notation -- from Wolfram MathWorld
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      Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right (Conway and Guy 1996, p. 60): m^n m·m...m_()_(n) m^^n m^m^...^m_()_(n) m^^^n m^^m^^...^^m_()_(n) For example, m^n = m^n (1) m^^n = m^...^m_()_(n)=m^(m^(·^(·^(·^m))))_()_(n) (2) m^^2 = m^m_()_(2)=m^m=m^m (3) m^^3 = m^m^m_()_(3)=m^(m^m) (4) = m^m^m=m^(m^m) (5) m^^^2 = m^^m_()_(2)=m^^m=m^(m^(·^(·^(·^m))))_()_(m) (6) ...
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