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Humans 40,000 y ago developed a system of conventional signs. [PDF]
Bentz C, Dutkiewicz E.
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Identification and quantification of irreversibility in stochastic systems.
Ghosal A, Bisker G.
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Information Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yangxue +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yangxue +3 more
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Entropy Numbers of Compact Operators
Bulletin of the London Mathematical Society, 1986In this paper it is shown that if T is a compact linear map of a Hilbert space to itself and \(| T|\) is the positive square root of \(T^*T\), then for all \(n\in {\mathbb{N}}\), \(e_ n(T)=e_ n(T^*)=e_ n(| T|)\), where \(e_ n(S)\) is the \(n^{th}\) entropy number of S.
Edmunds, D. E., Edmunds, R. M.
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Continuous Symmetry Numbers and Entropy
Journal of the American Chemical Society, 2003Traditionally, entropy changes are corrected for rotational permutability only if the molecule is perfectly rotationally symmetric. By this approach, only a small fraction of all known molecules must be evaluated in terms of symmetry numbers, while all other molecules are totally exempt of these considerations.
Ernesto, Estrada, David, Avnir
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OnA-Compact Operators, Generalized Entropy Numbers and Entropy Ideals
Mathematische Nachrichten, 1984Using the notion of precompact subset in a Banach space, the authors introduce what are called A-compact sets referring to a given operator ideal A. Based upon this concept, A-compact operators are defined between Banach spaces. It is established that both A compact sets and A compact operators admit similar characterizations as precompact sets and ...
Carl, Bernd, Stephani, Irmtraud
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