See two-norm on Wiktionary
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{ "forms": [ { "form": "two-norms", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "two-norm (plural two-norms)", "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", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with French translations", "en:Mathematics" ], "glosses": [ "A measure of length given by \"the square root of the squares.\" Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector." ], "links": [ [ "mathematics", "mathematics" ], [ "measure", "measure" ], [ "square root", "square root" ], [ "vector", "vector" ], [ "dimensional", "dimensional" ], [ "zero vector", "zero vector" ] ], "raw_glosses": [ "(mathematics) A measure of length given by \"the square root of the squares.\" Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "norm (mathematics)" ] } ], "translations": [ { "code": "fr", "lang": "French", "sense": "mathematical measure of length", "tags": [ "feminine" ], "word": "norme" } ], "word": "two-norm" }
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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 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.
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