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Applied Mathematics
Findings from Princeton University provide new insights into applied mathematics
March 3rd, 2008
"We propose a new way of defining entropy of a system, which gives a general form that is non-extensive like Tsallis entropy, but is linearly dependent on component entropies, like Renyi entropy, which is extensive. This entropy has a conceptually novel but simple origin and is mathematically easy to define by a very simple expression involving a derivative," investigators in the United States report. "It leads to a probability distribution function involving the Lambert function resulting from optimizing the entropy, which has hitherto never appeared in this context, and is somewhat more complex than the Shannon or Boltzmann form, but is nevertheless mathematically quite...
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Source: VerticalNews Mathematics (2008-03-03)
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