See difference equation on Wiktionary
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{ "forms": [ { "form": "difference equations", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "difference equation (plural difference equations)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "An equation involving an ordered sequence of real numbers (a_nₙ₌₁ ᪲) and some of its differences, where the first difference is defined as Δ(a_n)=a_n+1-a_n, and the kᵗʰ difference is defined recursively as Δᵏ(a_n)=Δᵏ⁻¹(a_n+1)-Δᵏ⁻¹(a_n),." ], "id": "en-difference_equation-en-noun-AoU7nrmN", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) An equation involving an ordered sequence of real numbers (a_nₙ₌₁ ᪲) and some of its differences, where the first difference is defined as Δ(a_n)=a_n+1-a_n, and the kᵗʰ difference is defined recursively as Δᵏ(a_n)=Δᵏ⁻¹(a_n+1)-Δᵏ⁻¹(a_n),." ], "related": [ { "_dis1": "75 25", "word": "differential equation" } ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "21 79", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "glosses": [ "more broadly, any recurrence relation" ], "id": "en-difference_equation-en-noun-ozMLexdS", "links": [ [ "mathematics", "mathematics" ], [ "recurrence relation", "recurrence relation" ] ], "raw_glosses": [ "(mathematics) more broadly, any recurrence relation" ], "topics": [ "mathematics", "sciences" ] } ], "translations": [ { "_dis1": "52 48", "code": "fi", "lang": "Finnish", "sense": "math: type of equation", "word": "differenssiyhtälö" } ], "word": "difference equation" }
{ "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns" ], "forms": [ { "form": "difference equations", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "difference equation (plural difference equations)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "differential equation" } ], "senses": [ { "categories": [ "en:Mathematics" ], "glosses": [ "An equation involving an ordered sequence of real numbers (a_nₙ₌₁ ᪲) and some of its differences, where the first difference is defined as Δ(a_n)=a_n+1-a_n, and the kᵗʰ difference is defined recursively as Δᵏ(a_n)=Δᵏ⁻¹(a_n+1)-Δᵏ⁻¹(a_n),." ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) An equation involving an ordered sequence of real numbers (a_nₙ₌₁ ᪲) and some of its differences, where the first difference is defined as Δ(a_n)=a_n+1-a_n, and the kᵗʰ difference is defined recursively as Δᵏ(a_n)=Δᵏ⁻¹(a_n+1)-Δᵏ⁻¹(a_n),." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Mathematics" ], "glosses": [ "more broadly, any recurrence relation" ], "links": [ [ "mathematics", "mathematics" ], [ "recurrence relation", "recurrence relation" ] ], "raw_glosses": [ "(mathematics) more broadly, any recurrence relation" ], "topics": [ "mathematics", "sciences" ] } ], "translations": [ { "code": "fi", "lang": "Finnish", "sense": "math: type of equation", "word": "differenssiyhtälö" } ], "word": "difference equation" }
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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