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The various parts of an integral have special meaning. Using the audio
notation would produce a rendering that cues the subscript and
superscript on the integral, leaving it to the listener to interpret
their meaning. Rule *descriptive* for object *integral*
(see fig:descriptive-integral) interprets the subscript
and superscript as the limits of integration. Integrals having no
superscript are interpreted as surface integrals. The rule also
correctly identifies the variable of integration in the majority of
examples.

**:** Descriptive rendering rule for integrals.

We have a similar rendering rule for summations that interprets the subscript as a constraint on the summation. The rule also correctly renders examples where the subscript and superscript to the summation operator give the lower and upper bound on the range of summation.

Thu Mar 9 20:10:41 EST 1995