"back substitution" meaning in English

See back substitution in All languages combined, or Wiktionary

Noun

Forms: back substitutions [plural]
Head templates: {{en-noun|~}} back substitution (countable and uncountable, plural back substitutions)
  1. (linear algebra) A method of solving linear systems that have been transformed into row echelon form. Tags: countable, uncountable Categories (topical): Linear algebra
    Sense id: en-back_substitution-en-noun-YMb-ja5M Categories (other): English entries with incorrect language header, Terms with Catalan translations, Terms with Finnish translations, Terms with Spanish translations, Terms with Swedish translations Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Terms with Catalan translations: 55 45 Disambiguation of Terms with Finnish translations: 60 40 Disambiguation of Terms with Spanish translations: 60 40 Disambiguation of Terms with Swedish translations: 60 40 Topics: linear-algebra, mathematics, sciences
  2. (combinatorics) A method of solving recurrence relations. Tags: countable, uncountable Categories (topical): Combinatorics
    Sense id: en-back_substitution-en-noun-feHMkrLK Categories (other): English entries with incorrect language header, Terms with Catalan translations Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Terms with Catalan translations: 55 45 Topics: combinatorics, mathematics, sciences
The following are not (yet) sense-disambiguated
Translations (back substitution): substitució regressiva [feminine] (Catalan), takaisinsijoitus (Finnish), sustitución regresiva [feminine] (Spanish), återsubstitution (Swedish)
Disambiguation of 'back substitution': 49 51

Inflected forms

Download JSON data for back substitution meaning in English (3.0kB)

{
  "forms": [
    {
      "form": "back substitutions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "back substitution (countable and uncountable, plural back substitutions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        },
        {
          "_dis": "50 50",
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          "source": "w+disamb"
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        {
          "_dis": "55 45",
          "kind": "other",
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          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "60 40",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "60 40",
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "60 40",
          "kind": "other",
          "name": "Terms with Swedish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A method of solving linear systems that have been transformed into row echelon form."
      ],
      "id": "en-back_substitution-en-noun-YMb-ja5M",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "row echelon form",
          "row echelon form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A method of solving linear systems that have been transformed into row echelon form."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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        },
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          "_dis": "50 50",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "55 45",
          "kind": "other",
          "name": "Terms with Catalan translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A method of solving recurrence relations."
      ],
      "id": "en-back_substitution-en-noun-feHMkrLK",
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "recurrence relation",
          "recurrence relation"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A method of solving recurrence relations."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
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  ],
  "translations": [
    {
      "_dis1": "49 51",
      "code": "ca",
      "lang": "Catalan",
      "sense": "back substitution",
      "tags": [
        "feminine"
      ],
      "word": "substitució regressiva"
    },
    {
      "_dis1": "49 51",
      "code": "fi",
      "lang": "Finnish",
      "sense": "back substitution",
      "word": "takaisinsijoitus"
    },
    {
      "_dis1": "49 51",
      "code": "es",
      "lang": "Spanish",
      "sense": "back substitution",
      "tags": [
        "feminine"
      ],
      "word": "sustitución regresiva"
    },
    {
      "_dis1": "49 51",
      "code": "sv",
      "lang": "Swedish",
      "sense": "back substitution",
      "word": "återsubstitution"
    }
  ],
  "word": "back substitution"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English uncountable nouns",
    "Terms with Catalan translations",
    "Terms with Finnish translations",
    "Terms with Spanish translations",
    "Terms with Swedish translations"
  ],
  "forms": [
    {
      "form": "back substitutions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
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      "expansion": "back substitution (countable and uncountable, plural back substitutions)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Linear algebra"
      ],
      "glosses": [
        "A method of solving linear systems that have been transformed into row echelon form."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "row echelon form",
          "row echelon form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A method of solving linear systems that have been transformed into row echelon form."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Combinatorics"
      ],
      "glosses": [
        "A method of solving recurrence relations."
      ],
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "recurrence relation",
          "recurrence relation"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A method of solving recurrence relations."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "back substitution",
      "tags": [
        "feminine"
      ],
      "word": "substitució regressiva"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "back substitution",
      "word": "takaisinsijoitus"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "back substitution",
      "tags": [
        "feminine"
      ],
      "word": "sustitución regresiva"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "back substitution",
      "word": "återsubstitution"
    }
  ],
  "word": "back substitution"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.