See biorthogonalization on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "bi", "3": "orthogonalization" }, "expansion": "bi- + orthogonalization", "name": "prefix" } ], "etymology_text": "From bi- + orthogonalization.", "forms": [ { "form": "biorthogonalizations", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "~" }, "expansion": "biorthogonalization (countable and uncountable, plural biorthogonalizations)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English hybridisms", "parents": [], "source": "w" }, { "kind": "other", "name": "English terms prefixed with bi-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2015, Tarek A. Lahlou, Alan V. Oppenheim, “Trading Accuracy for Numerical Stability: Orthogonalization, Biorthogonalization and Regularization”, in arXiv:", "text": "The proposed methods in particular draw upon the structural relevance and principles of orthogonalization and biorthogonalization and are presented from the perspectives of signal processing, convex programming, continuation methods and nonlinear projection operators.", "type": "quote" } ], "glosses": [ "Conversion to biorthogonal form" ], "id": "en-biorthogonalization-en-noun-fEKKP9W5", "links": [ [ "mathematics", "mathematics" ], [ "biorthogonal", "biorthogonal" ] ], "raw_glosses": [ "(mathematics) Conversion to biorthogonal form" ], "tags": [ "countable", "uncountable" ], "topics": [ "mathematics", "sciences" ] } ], "word": "biorthogonalization" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "bi", "3": "orthogonalization" }, "expansion": "bi- + orthogonalization", "name": "prefix" } ], "etymology_text": "From bi- + orthogonalization.", "forms": [ { "form": "biorthogonalizations", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "~" }, "expansion": "biorthogonalization (countable and uncountable, plural biorthogonalizations)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English hybridisms", "English lemmas", "English nouns", "English terms prefixed with bi-", "English terms with quotations", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2015, Tarek A. Lahlou, Alan V. Oppenheim, “Trading Accuracy for Numerical Stability: Orthogonalization, Biorthogonalization and Regularization”, in arXiv:", "text": "The proposed methods in particular draw upon the structural relevance and principles of orthogonalization and biorthogonalization and are presented from the perspectives of signal processing, convex programming, continuation methods and nonlinear projection operators.", "type": "quote" } ], "glosses": [ "Conversion to biorthogonal form" ], "links": [ [ "mathematics", "mathematics" ], [ "biorthogonal", "biorthogonal" ] ], "raw_glosses": [ "(mathematics) Conversion to biorthogonal form" ], "tags": [ "countable", "uncountable" ], "topics": [ "mathematics", "sciences" ] } ], "word": "biorthogonalization" }
Download raw JSONL data for biorthogonalization meaning in All languages combined (1.5kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.