(root)/Notes/Notes/notes/exponent.md RSS

Exponent

see math notation, logarithm

notation

[b]c == b[c], where

  • b is the base of the exponent
  • c is the value to raise the base to

properties

x0 = 1 > x + 0

reciprocal x[..n] = --x[n] (see improved expression evaluation)

product rule x[m:n] = x[m] | x[n]

quotient rule x[m..n] = x[m] -- x[n]

power rule [[x]m]n = x[mn] (but messes with superpositions #xxx improved expression evaluation)

distribution over multiplication [xy]n = [x]n | [y]n

periodic ‹function x[n] = x[n : iitt - /n\] --- me (see improved expression evaluation)

see logarithm for additional properties