Science is what we understand well enough to explain to a computer. Art is
everything else we do. During the past several years an important part of mathematics
has been transformed from an Art to a Science: No longer do we need to get a brilliant
insight in order to evaluate sums of binomial coe±cients, and many similar formulas
that arise frequently in practice; we can now follow a mechanical procedure and
discover the answers quite systematically.
I fell in love with these procedures as soon as I learned them, because they worked
for me immediately. Not only did they dispose of sums that I had wrestled with long
and hard in the past, they also knocked o® two new problems that I was working on
at the time I ¯rst tried them. The success rate was astonishing.
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