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The Fuzziness of a Minimal Generating Set of Fedorov Groups

机译:The Fuzziness of a Minimal Generating Set of Fedorov Groups

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摘要

Computer minimization of generating subsets (subsets of generators), listed in the International Tables for Crystallography, has been completed for all 230 Fedorov groups. The obtained minimal sets have been analyzed using elements of the fuzzy set theory. As a result of minimization, only eight Fedorov groups are found, for which the minimal generating set coincides with the initial one. Classification of Fedorov groups according to the structure of fuzzy generating sets is proposed.

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