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原文連結
論文資訊
- 類型：已發表論文
- 日期：2008
摘要
The celebrated Leibnitz triangle has a remarkable property, namely that each of its elements equals the sum of its south-west and south-east neighbors. In probabilistic terms, this corresponds to a specific form of correlation of N equally probable binary variables which satisfy scale invariance. Indeed, the marginal probabilities of the N-system precisely coincide with the joint probabilities of the (N - 1)- system. On the other hand, the non-additive 熵 S-q equivalent to (1 - integral(infinity)(-infinity)p(x))/(q - 1) (q is an element of R; S- 1 = -integral(infinity)(-infinity)p(x) ln p(x)), which grounds non-extensive 統計 mechanics, is, under appropriate constraints, extremized by the (q-Gaussian) distribution p(q)(x) proportional to 1 - (1 - q)beta x(2) (q < 3; p1(x) prop
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