Abstract
One of the goals in this book is finding of an optimum state, an arrangement of site values subject to certain constraints. At first one may suppose these questions can be perfectly answered by analytic methods. Our energy function has only a scalar value, which is continuous and smooth (provided no two points have the same position). Its variables may be the strengths of each site, or they may be the positions of each site, but they are just an n-tuple (an ordered set, as in a vector) of real-valued coordinates. This is almost as well-behaved as one could hope for a function.
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(2007). Statistical Mechanics. In: Lim, C., Nebus, J. (eds) Vorticity, Statistical Mechanics, and Monte Carlo Simulation. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-49431-9_3
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DOI: https://doi.org/10.1007/978-0-387-49431-9_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-35075-2
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