Abuse of Notation - Examples - Exponentiation As Repetition

Exponentiation As Repetition

Exponentiation is repeated multiplication, and multiplication is frequently denoted by juxtaposition of operands, with no operator at all. The suggested superscript notation for other associative operations denoted by juxtaposition follows:

  • Function application is sometimes denoted without parentheses: . This suggests the functional powers notation: . This also generalizes nicely to represent function inverse for a power of -1 and functional square root for a power of 1/2.
  • Exponentiation over sets.
  • String repetition: "ab3c" = "abbbc".

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Famous quotes containing the word repetition:

    “I look on trade and every mechanical craft as education also. But let me discriminate what is precious herein. There is in each of these works an act of invention, an intellectual step, or short series of steps taken; that act or step is the spiritual act; all the rest is mere repetition of the same a thousand times.”
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