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As an example of a case where a field-magnitude distribution with no peak at
finite
is generated by this kind of convolution, let

be convoluted with a Lorentzian distribution at each site:

In spite of these expressions not being well defined when *B*_{i}=w or *B*=w,
these distributions are smooth through those values.
is
shown in Fig.5. Note that it is finite, nonzero at *B*=0. The corresponding
relaxation function is expressible in sine-integral and cosine-integral
functions.
Figure 5:

*Jess H. Brewer *

2002-09-24