dorsal/arxiv
View SchemaDiversity Assessment Based on a Higher Similarity-Higher Entropy Relation after Rejection of Gibbs Paradox
| Authors | Shu-Kun Lin |
|---|---|
| Categories | |
| ArXiv ID | physics/9910032 |
| URL | https://arxiv.org/abs/physics/9910032 |
Abstract
The diversity of the symbols of the information source is calculated following the definition that entropy is the information loss and following a new entropy-symbol similarity relation after the rejection of the Gibbs paradox statement. Diversity in a range of 0 to 1, an index similar to Shannon's redundancy, decreases with the increase in the species similarities. A pairwise similarity formula has been defined and used to demonstrated that the diversity expression gives the expected diversity. The higher entropy-higher similarity relation leads to the higher information-higher diversity relation.
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"date_created": "2026-03-02T18:01:25.150000Z",
"date_modified": "2026-03-02T18:01:25.150000Z",
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"abstract": "The diversity of the symbols of the information source is calculated\nfollowing the definition that entropy is the information loss and following a\nnew entropy-symbol similarity relation after the rejection of the Gibbs paradox\nstatement. Diversity in a range of 0 to 1, an index similar to Shannon\u0027s\nredundancy, decreases with the increase in the species similarities. A pairwise\nsimilarity formula has been defined and used to demonstrated that the diversity\nexpression gives the expected diversity. The higher entropy-higher similarity\nrelation leads to the higher information-higher diversity relation.",
"arxiv_id": "physics/9910032",
"authors": [
"Shu-Kun Lin"
],
"categories": [
"physics.data-an",
"physics.chem-ph"
],
"title": "Diversity Assessment Based on a Higher Similarity-Higher Entropy Relation after Rejection of Gibbs Paradox",
"url": "https://arxiv.org/abs/physics/9910032"
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