Orde en wanorde*

J. L. van Soest

Statistica Neerlandica, 1960, vol. 14, issue 3‐4, 249-258

Abstract: Order and disorder The degree of order and of disorder are defined such that they are complementary and, each, vary between 0 and 1. Examples are given in problems of human life, of his community (with anarchistic and totalitarian extremes); also in thermodynamics (entropy) and information theory. In the latter problems the statistical quantity appears; it has quite the same meaning in both cases: the quantity of statistically weighted alternatives. The relation to entropy and to quantity of selective information is discussed. The degree of order 1 (degree of disorder 0) appears if this statistical quantity is 0, one of the p(i) being equal to 1 („frozen” or „pure” state). The degree of order 0 (degree of disorder 1) appears if this quantity is log n, all p(i) being equal to 1/n. The degree of disorder is equal to In information theory the degree of order is identical i=1 with redundancy. Order/disorder problems in patterns are related to Mark off chains of higher order and are not discussed here.

Date: 1960
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