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![]() Colloquium Series 2008-09
In physics we often encounter log integrals. When faced with one, a
common practice is to "de-log" it via partial integration. Do we do so
because we have an aversion to the logarithm? If a physical problem
comes naturally "en-logged," this practice can obscure a big picture
that may be contained in it.
A good example is found in the statistical mechanics of an ideal Fermi
gas. A de-logging has yielded a particular solution. But it has also
covered up a symmetry that exists between Fermi and Bose thermodynamics.
We shall also see that en-logging can be richly diverting.
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