منابع مشابه
Wiener Way to Dimensionality
This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the t...
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متن کاملwiener way to dimensionality
this note introduces a new general conjecture correlating the dimensionality dt of an infinitelattice with n nodes to the asymptotic value of its wiener index w(n). in the limit of large nthe general asymptotic behavior w(n)≈ns is proposed, where the exponent s and dt are relatedby the conjectured formula s=2+1/dt allowing a new definition of dimensionality dw=(s-2)-1.being related to the topol...
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The paragraph spaces of five text corpora, of different genres and intended audiences, in four different languages, all show the same two-scale structure, with the dimension at short distances being lower than at long distances. In all five cases the short-distance dimension is approximately eight. Control simulations with randomly permuted word instances do not exhibit a low dimensional struct...
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The dimensionality of the paragraph space of five corpora of different languages (English, French, modern Greek, Homeric Greek and German), genres (fiction and non-fiction) and intended audiences (children, adolescents and adults) is investigated. Term by paragraph occurrence data is processed by whitening, and the correlation dimension is calculated. All five corpora exhibit a weave-like struc...
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ژورنال
عنوان ژورنال: International Journal of Innovative Science and Research Technology
سال: 2020
ISSN: 2456-2165
DOI: 10.38124/ijisrt20sep168