"linear combination" meaning in English

{
  "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"
          ],
          "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"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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": [
    {
      "args": {},
      "expansion": "linear combination (plural linear combinations)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "affine combination"
    },
    {
      "word": "convex combination"
    }
  ],
  "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",
        "Japanese terms with redundant script codes",
        "Mandarin terms with redundant transliterations",
        "en:Linear algebra"
      ],
      "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"
}