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".
Famous quotes containing the word repetition:
“When sins are dear to us we are too prone to slide into them again. The act of repentance itself is often sweetened with the thought that it clears our account for a repetition of the same sin.”
—Thomas Jefferson (17431826)