"linear combination" meaning in All languages combined

See linear combination on Wiktionary

Noun [English]

Forms: linear combinations [plural]
Head templates: {{en-noun}} linear combination (plural linear combinations)
  1. (linear algebra) a sum, each of whose summands is an appropriate vector times an appropriate scalar (or ring element) Categories (topical): Linear algebra Hyponyms: affine combination, convex combination Translations (sum): 線性組合 (Chinese Mandarin), 线性组合 (xiànxìng zǔhé) (Chinese Mandarin), kumer kombinatsioon (Estonian), lineaarikombinaatio (Finnish), 線型結合 (senkei ketsugou) (alt: せんけいけつごう) (Japanese), лине́йная комбина́ция (linéjnaja kombinácija) [feminine] (Russian), combinación lineal [feminine] (Spanish), linjärkombination [common-gender] (Swedish)

Inflected forms

{
  "forms": [
    {
      "form": "linear combinations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "linear combination (plural linear combinations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
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          "name": "Entries with translation boxes",
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "Japanese terms with redundant script codes",
          "parents": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
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          "source": "w"
        },
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        },
        {
          "kind": "other",
          "name": "Terms with Estonian translations",
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        },
        {
          "kind": "other",
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        },
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        {
          "kind": "other",
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          "source": "w"
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        {
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Swedish translations",
          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "a sum, each of whose summands is an appropriate vector times an appropriate scalar (or ring element)"
      ],
      "hyponyms": [
        {
          "word": "affine combination"
        },
        {
          "word": "convex combination"
        }
      ],
      "id": "en-linear_combination-en-noun-85U8TZIC",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "summand",
          "summand"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "scalar",
          "scalar"
        ],
        [
          "ring",
          "ring"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) a sum, each of whose summands is an appropriate vector times an appropriate scalar (or ring element)"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "sum",
          "word": "線性組合"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "xiànxìng zǔhé",
          "sense": "sum",
          "word": "线性组合"
        },
        {
          "code": "et",
          "lang": "Estonian",
          "sense": "sum",
          "word": "kumer kombinatsioon"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "sum",
          "word": "lineaarikombinaatio"
        },
        {
          "alt": "せんけいけつごう",
          "code": "ja",
          "lang": "Japanese",
          "roman": "senkei ketsugou",
          "sense": "sum",
          "word": "線型結合"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "linéjnaja kombinácija",
          "sense": "sum",
          "tags": [
            "feminine"
          ],
          "word": "лине́йная комбина́ция"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "sum",
          "tags": [
            "feminine"
          ],
          "word": "combinación lineal"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "sum",
          "tags": [
            "common-gender"
          ],
          "word": "linjärkombination"
        }
      ]
    }
  ],
  "word": "linear combination"
}
{
  "forms": [
    {
      "form": "linear combinations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "linear combination (plural linear combinations)",
      "name": "en-noun"
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      "word": "affine combination"
    },
    {
      "word": "convex combination"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "Terms with Mandarin translations",
        "Terms with Russian translations",
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      ],
      "glosses": [
        "a sum, each of whose summands is an appropriate vector times an appropriate scalar (or ring element)"
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "summand",
          "summand"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "scalar",
          "scalar"
        ],
        [
          "ring",
          "ring"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) a sum, each of whose summands is an appropriate vector times an appropriate scalar (or ring element)"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "sum",
      "word": "線性組合"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "xiànxìng zǔhé",
      "sense": "sum",
      "word": "线性组合"
    },
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "sum",
      "word": "kumer kombinatsioon"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "sum",
      "word": "lineaarikombinaatio"
    },
    {
      "alt": "せんけいけつごう",
      "code": "ja",
      "lang": "Japanese",
      "roman": "senkei ketsugou",
      "sense": "sum",
      "word": "線型結合"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "linéjnaja kombinácija",
      "sense": "sum",
      "tags": [
        "feminine"
      ],
      "word": "лине́йная комбина́ция"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "sum",
      "tags": [
        "feminine"
      ],
      "word": "combinación lineal"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "sum",
      "tags": [
        "common-gender"
      ],
      "word": "linjärkombination"
    }
  ],
  "word": "linear combination"
}

Download raw JSONL data for linear combination meaning in All languages combined (2.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.