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)abbrev category ELEMFUN ElementaryFunctionCategory
++ Category for the elementary functions
++ Author: Manuel Bronstein
++ Date Last Updated: 14 May 1991
++ Description: 
++ Category for the elementary functions;

ElementaryFunctionCategory() : Category == SIG where

  SIG ==> with

    log : $ -> $
      ++ log(x) returns the natural logarithm of x.

    exp : $ -> $
      ++ exp(x) returns %e to the power x.

    "**": ($, $) -> $
      ++ x**y returns x to the power y.

   add

     if $ has Monoid then

       x ** y == exp(y * log x)