See basis spline on Wiktionary
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{ "forms": [ { "form": "basis splines", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "basis spline (plural basis splines)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English terms with usage examples", "Pages with 1 entry", "Pages with entries", "en:Curves", "en:Mathematics" ], "examples": [ { "text": "Basis splines can be used for curve-fitting and numerical differentiation of experimental data, and for shaping curves in computer-aided design.", "type": "example" } ], "glosses": [ "A spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of basis splines of that degree." ], "links": [ [ "mathematics", "mathematics" ], [ "spline", "spline" ], [ "function", "function" ], [ "minimal", "minimal" ], [ "support", "support" ], [ "degree", "degree" ], [ "smoothness", "smoothness" ], [ "domain", "domain" ], [ "partition", "partition" ], [ "linear", "linear" ], [ "combination", "combination" ] ], "raw_glosses": [ "(mathematics) A spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of basis splines of that degree." ], "synonyms": [ { "word": "B-spline" } ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "B-spline" ] } ], "word": "basis spline" }
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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 2025-01-20 from the enwiktionary dump dated 2025-01-01 using wiktextract (ee63ee9 and 4230888). 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.