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Johndcook

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Alternative exp and log notation

  • An article suggested using a↑b for ab and a↓b for loga(b) as a pedagogical approach drawn from Knuth’s up arrow and down arrow notation.
  • Advantages of this alternative notation include symmetry between exponents and logs, making the base of the logarithm more prominent, and a typographically linear representation.
  • The up and down arrow notation keeps expressions within a line, in contrast to conventional notation which extends above and below the line.
  • The article presents basic properties of logs and exponents using both conventional and up/down arrow notations.

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