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Automatic adjoints

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[*] offers a program for converting linear operator programs into their adjoints.
Suppose a linear operator $\bold F$\space has
its input in th...
 ...pply the words
``does a bunch of integrals''?
What are the integrands?\end{exer}


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