"difference equation" meaning in All languages combined

See difference equation on Wiktionary

Noun [English]

Forms: difference equations [plural]
Head templates: {{en-noun}} difference equation (plural difference equations)
  1. (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),. Categories (topical): Mathematics Related terms: differential equation Translations (math: type of equation): differenssiyhtälö (Finnish)
    Sense id: en-difference_equation-en-noun-AoU7nrmN Topics: mathematics, sciences Disambiguation of 'math: type of equation': 59 41
  2. (mathematics) more broadly, any recurrence relation Categories (topical): Mathematics
    Sense id: en-difference_equation-en-noun-ozMLexdS Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations Disambiguation of English entries with incorrect language header: 21 79 Disambiguation of Entries with translation boxes: 11 89 Disambiguation of Pages with 1 entry: 27 73 Disambiguation of Pages with entries: 18 82 Disambiguation of Terms with Finnish translations: 16 84 Topics: mathematics, sciences

Inflected forms

{
  "forms": [
    {
      "form": "difference equations",
      "tags": [
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  "head_templates": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Sciences",
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            "Fundamental"
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          "source": "w"
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      "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",
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      ],
      "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": "100 0",
          "word": "differential equation"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "59 41",
          "code": "fi",
          "lang": "Finnish",
          "sense": "math: type of equation",
          "word": "differenssiyhtälö"
        }
      ]
    },
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        {
          "_dis": "21 79",
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          "name": "English entries with incorrect language header",
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            "Entry maintenance"
          ],
          "source": "w+disamb"
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          "_dis": "11 89",
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        },
        {
          "_dis": "27 73",
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        },
        {
          "_dis": "18 82",
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          "parents": [],
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        },
        {
          "_dis": "16 84",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "more broadly, any recurrence relation"
      ],
      "id": "en-difference_equation-en-noun-ozMLexdS",
      "links": [
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          "mathematics",
          "mathematics"
        ],
        [
          "recurrence relation",
          "recurrence relation"
        ]
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      "raw_glosses": [
        "(mathematics) more broadly, any recurrence relation"
      ],
      "topics": [
        "mathematics",
        "sciences"
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  "word": "difference equation"
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{
  "categories": [
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    "English nouns",
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    "Pages with entries",
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  "forms": [
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  "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": [
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      "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",
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        "more broadly, any recurrence relation"
      ],
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      "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"
}

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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 2025-01-13 from the enwiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). 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.