[2 offprints, including:] On the entropy function in sociotechnical systems.
by MONTROLL, Elliott Waters: (1916-1983).
[Washington, DC]:: Proceedings of the National Academy of Sciences, 1981., 1981. 2 offprints. Original wrappers. From the collection of Abraham Pais. Very good. INVENTORY: 1. MONTROLL, Elliott W. On the entropy function in sociotechnical systems. (Sears Roebuck catalogues/stimulus-response/traffic flow/fluctuations). From: Proceedings of the National Academy of Sciences USA, vol. 78, No. 12, pp. 7839-43, Economical Sciences, December 1981. "The entropy function H = -Sigmap(j) log p(j) (p(j) being the probability of a system being in state j) and its continuum analogue H = integralp(x) log p(x) dx are fundamental in Shannon's theory of information transfer in communication systems. It is here shown that the discrete form of He also appears naturally in single-lane traffic flow theory. In merchandising, goods flow from a whole-saler through a retailer to a customer. Certain features of the process may be deduced from price distribution functions derived from Sears Roebuck and Company catalogues. It is found that the dispersion in logarithm of catalogue prices of a given year has remained about constant, independently of the year, for over 75 years. From this it may be inferred that the continuum entropy function for the variable logarithm of price had inadvertently, through Sears Roebuck policies, been maximized for that firm subject to the observed dispersion." :: Abstract. 2. MONTROLL, Elliott W.; Shlesinger, Michael F. On 1/f noise and other distributions with long tails. (log-normal distribution/Levy distribution/Pareto distribution/Scale-invariant process). From: Proc. Natl. Acad. Sci. USA, Vol. 79, pp. 3380-3383, May 1982, Applied Mathematical Sciences. Original white Proc. natl. Acad. Sci. USA printed cover. / Montroll was anAmerican mathematician and scientist. He taught at a variety of different institutions throughout his career, including Yale, Cornell, and Princeton. In 1943 he was appointed Head of the Mathematics Research Group at the Kellex Corporation, where he worked on programs related to the Manhattan Project. Eventually he accepted a professorship at the University of Maryland. He did significant work on traffic flow and continuous-time random walk, and received the Lanchester Prize in 1959. (Inventory #: S13307)
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