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The result is that the product of these two factors, i.e., the probability P(E), exhibits
an extremely sharp maximum for some particular value E of the energy E. Thus
the dependence of P(E) on E must show the general behavior illustrated in Fig.
Frederick Reif. maximum of its logarithm, we need to find the value E = S, where*
d In P _ 1 BP -dE~ = PdE ° (33-6) But by (3-3-5) In P(E) = In C + In Q(E) + In Q'(E')
(3-3-7) where £' = £<°> - £. Hence (3 -3 -6) becomes a In 0(g) ajno^gp _ or ...
... with the parameter between y and y + by is given by P(y) oc Q(y) = es<»»* (8-1-
6) Equation (8-1-6) shows explicitly that if y is left free to adjust itself, it will tend to
approach a value y where P(y) is maximum, i.e., where S(y) is maximum.
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Never mind that this book was published in the mid '60s (before I was even born); if you must choose one book to learn from, choose this one. It is so concise, so well thought out that I have yet to ... Read full review
Introduction to statistical methods
GENERAL DISCUSSION OF THE RANDOM WALK
Statistical description of systems of particles
26 other sections not shown