"scalar multiplication" meaning in English

{
  "forms": [
    {
      "form": "scalar multiplications",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {
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      "expansion": "scalar multiplication (countable and uncountable, plural scalar multiplications)",
      "name": "en-noun"
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  ],
  "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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          "parents": [],
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        }
      ],
      "glosses": [
        "Multiplication of a vector by a scalar (which belongs to the vector space's field of scalars)."
      ],
      "id": "en-scalar_multiplication-en-noun-JvzF7h8O",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "Multiplication",
          "multiplication"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "scalar",
          "scalar"
        ],
        [
          "vector space",
          "vector space"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Multiplication of a vector by a scalar (which belongs to the vector space's field of scalars)."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "glosses": [
        "multiplication of a module element by a ring element"
      ],
      "id": "en-scalar_multiplication-en-noun-W2AGaBfS",
      "raw_glosses": [
        "(abstract algebra) multiplication of a module element by a ring element"
      ],
      "tags": [
        "abstract",
        "countable",
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "scalar multiplication"
}

{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English uncountable nouns",
    "Pages with 1 entry",
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  "forms": [
    {
      "form": "scalar multiplications",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
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      "expansion": "scalar multiplication (countable and uncountable, plural scalar multiplications)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Linear algebra"
      ],
      "glosses": [
        "Multiplication of a vector by a scalar (which belongs to the vector space's field of scalars)."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "Multiplication",
          "multiplication"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "scalar",
          "scalar"
        ],
        [
          "vector space",
          "vector space"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Multiplication of a vector by a scalar (which belongs to the vector space's field of scalars)."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "glosses": [
        "multiplication of a module element by a ring element"
      ],
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        "(abstract algebra) multiplication of a module element by a ring element"
      ],
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        "abstract",
        "countable",
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
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  "word": "scalar multiplication"
}