See directional derivative on Wiktionary
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{ "forms": [ { "form": "directional derivatives", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "directional derivative (plural directional derivatives)", "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 Bulgarian translations", "Terms with French translations", "Terms with Italian translations", "Terms with Polish translations", "Terms with Portuguese translations", "Terms with Spanish translations", "Translation table header lacks gloss", "en:Calculus" ], "glosses": [ "A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h." ], "links": [ [ "calculus", "calculus" ], [ "function", "function#Noun" ], [ "point", "point#Noun" ], [ "direction", "direction#Noun" ], [ "scalar function", "scalar function#Noun" ], [ "vector", "vector#Noun" ], [ "limit", "limit#Noun" ] ], "raw_glosses": [ "(calculus) A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h." ], "topics": [ "calculus", "mathematics", "sciences" ] } ], "translations": [ { "code": "bg", "lang": "Bulgarian", "roman": "proizvodna po napravlenie", "sense": "Translations", "tags": [ "feminine" ], "word": "производна по направление" }, { "code": "fr", "lang": "French", "sense": "Translations", "tags": [ "feminine" ], "word": "dérivée directionnelle" }, { "code": "it", "lang": "Italian", "sense": "Translations", "tags": [ "feminine" ], "word": "derivata direzionale" }, { "code": "pl", "lang": "Polish", "sense": "Translations", "tags": [ "feminine" ], "word": "pochodna kierunkowa" }, { "code": "pt", "lang": "Portuguese", "sense": "Translations", "tags": [ "feminine" ], "word": "derivada direcional" }, { "code": "es", "lang": "Spanish", "sense": "Translations", "tags": [ "feminine" ], "word": "derivada direccional" } ], "word": "directional derivative" }
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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 2025-06-01 from the enwiktionary dump dated 2025-05-20 using wiktextract (3dadd05 and f1c2b61). 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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