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Computers are not only able to perform computations;
they can do mathematics.
Well known software is Mathematica and Maple.
Adjoints can also be done by symbol manipulation.
For example Ralf Giering![[*]](http://sepwww.stanford.edu/latex2html/foot_motif.gif)
offers a program for converting
linear operator programs into their adjoints.
Stanford Exploration Project
4/27/2004