Entropy
المؤلف:
Ellis, R. S
المصدر:
Entropy, Large Deviations, and Statistical Mechanics. New York: Springer-Verlag, 1985.
الجزء والصفحة:
...
12-11-2021
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Entropy
In physics, the word entropy has important physical implications as the amount of "disorder" of a system. In mathematics, a more abstract definition is used. The (Shannon) entropy of a variable 
is defined as
bits, where 
is the probability that 
is in the state 
, and 
is defined as 0 if 
. The joint entropy of variables 
, ..., 
is then defined by
REFERENCES:
Ellis, R. S. Entropy, Large Deviations, and Statistical Mechanics. New York: Springer-Verlag, 1985.
Havil, J. "A Measure of Uncertainty." §14.1 in Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, pp. 139-145, 2003.
Khinchin, A. I. Mathematical Foundations of Information Theory. New York: Dover, 1957.
Lasota, A. and Mackey, M. C. Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics, 2nd ed. New York: Springer-Verlag, 1994.
Ott, E. "Entropies." §4.5 in Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 138-144, 1993.
Rothstein, J. "Information, Measurement, and Quantum Mechanics." Science 114, 171-175, 1951.
Schnakenberg, J. "Network Theory of Microscopic and Macroscopic Behavior of Master Equation Systems." Rev. Mod. Phys. 48, 571-585, 1976.
Shannon, C. E. "A Mathematical Theory of Communication." The Bell System Technical J. 27, 379-423 and 623-656, July and Oct. 1948. http://cm.bell-labs.com/cm/ms/what/shannonday/shannon1948.pdf.
Shannon, C. E. and Weaver, W. Mathematical Theory of Communication. Urbana, IL: University of Illinois Press, 1963.
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