MathGroup Archive 2001

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Simple questions about Mathematica

1. Suppose I solve some equations and get a complicated
expression containing multiple identical elements such as
sqrt(a^2+b^2). To make the expression smaller, clearer, and
easier to deal with, I want to substitute say R=sqrt(a^2+b^2)
everywhere in the main expression and have R available as
a symbol from then on. I see nothing in Help or anywhere
else about how to do this. But it's such a standard thing to
do that there must be an easy answer.

2. I'm not sure how a "batch" file is suppposed to be
prepared and fed to Mathematica. That is, I want to
prepare a bunch of operations and variables in advance
and feed it in, preferably having mathematica give me
line-by-line output as it would if I were typing each line
in  one by one.

    As a new user I really need answers to these questions.
Thanks in advance for any information.

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