See polyconvexity on Wiktionary
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{ "etymology_templates": [ { "args": { "1": "en", "2": "poly", "3": "convexity" }, "expansion": "poly- + convexity", "name": "prefix" } ], "etymology_text": "From poly- + convexity.", "head_templates": [ { "args": { "1": "-" }, "expansion": "polyconvexity (uncountable)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "polyconvex" } ], "senses": [ { "categories": [ "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with poly-", "English terms with quotations", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2015, Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff, “Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case”, in (Please provide the book title or journal name):", "text": "Thus we negatively answer Morrey's conjecture in the subclass of isochoric nonlinear energies, since polyconvexity implies quasiconvexity.", "type": "quote" } ], "glosses": [ "A generalization of the notion of convexity for functions defined on spaces of matrices." ], "links": [ [ "mathematics", "mathematics" ], [ "convexity", "convexity#English" ], [ "functions", "function#English" ], [ "matrices", "matrix#English" ] ], "raw_glosses": [ "(mathematics) A generalization of the notion of convexity for functions defined on spaces of matrices." ], "tags": [ "uncountable" ], "topics": [ "mathematics", "sciences" ] } ], "word": "polyconvexity" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.