"semi-norm" meaning in English

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      "expansion": "semi- + norm",
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  "etymology_text": "From semi- + norm.",
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      "form": "semi-norms",
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        "plural"
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  "lang_code": "en",
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          "kind": "topical",
          "langcode": "en",
          "name": "Functional analysis",
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            "Mathematics",
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            "Fundamental"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
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            "Formal sciences",
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      ],
      "derived": [
        {
          "word": "semi-normed"
        },
        {
          "word": "seminormed"
        }
      ],
      "glosses": [
        "A function denoted ∥v∥ that maps a vector v to a non-negative value such that ∥cv∥ = |c|.∥v∥, where c is a scalar, and ∥v + w∥ ≤ ∥v∥ + ∥w∥ (the triangle inequality); the condition that ∥v∥ = 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm."
      ],
      "id": "en-semi-norm-en-noun-uqAdB1MH",
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          "mathematical analysis",
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          "function",
          "function"
        ],
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          "map",
          "map"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "non-negative",
          "non-negative"
        ],
        [
          "scalar",
          "scalar"
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          "triangle inequality",
          "triangle inequality"
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          "norm",
          "norm"
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      "raw_glosses": [
        "(mathematical analysis) A function denoted ∥v∥ that maps a vector v to a non-negative value such that ∥cv∥ = |c|.∥v∥, where c is a scalar, and ∥v + w∥ ≤ ∥v∥ + ∥w∥ (the triangle inequality); the condition that ∥v∥ = 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm."
      ],
      "related": [
        {
          "word": "norm"
        }
      ],
      "synonyms": [
        {
          "sense": "in analysis",
          "word": "gauge"
        },
        {
          "word": "seminorm"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "a function that maps a vector to a non-negative value",
          "tags": [
            "feminine"
          ],
          "word": "Halbnorm"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "a function that maps a vector to a non-negative value",
          "tags": [
            "feminine"
          ],
          "word": "Seminorm"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "a function that maps a vector to a non-negative value",
          "tags": [
            "feminine"
          ],
          "word": "norma"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "a function that maps a vector to a non-negative value",
          "word": "seminorm"
        }
      ]
    }
  ],
  "word": "semi-norm"
}

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    {
      "word": "semi-normed"
    },
    {
      "word": "seminormed"
    }
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  "etymology_text": "From semi- + norm.",
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    {
      "word": "norm"
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        "A function denoted ∥v∥ that maps a vector v to a non-negative value such that ∥cv∥ = |c|.∥v∥, where c is a scalar, and ∥v + w∥ ≤ ∥v∥ + ∥w∥ (the triangle inequality); the condition that ∥v∥ = 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm."
      ],
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          "triangle inequality",
          "triangle inequality"
        ],
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          "norm",
          "norm"
        ]
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        "(mathematical analysis) A function denoted ∥v∥ that maps a vector v to a non-negative value such that ∥cv∥ = |c|.∥v∥, where c is a scalar, and ∥v + w∥ ≤ ∥v∥ + ∥w∥ (the triangle inequality); the condition that ∥v∥ = 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm."
      ],
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        "mathematical-analysis",
        "mathematics",
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  ],
  "synonyms": [
    {
      "sense": "in analysis",
      "word": "gauge"
    },
    {
      "word": "seminorm"
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "a function that maps a vector to a non-negative value",
      "tags": [
        "feminine"
      ],
      "word": "Halbnorm"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "a function that maps a vector to a non-negative value",
      "tags": [
        "feminine"
      ],
      "word": "Seminorm"
    },
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      "code": "it",
      "lang": "Italian",
      "sense": "a function that maps a vector to a non-negative value",
      "tags": [
        "feminine"
      ],
      "word": "norma"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "a function that maps a vector to a non-negative value",
      "word": "seminorm"
    }
  ],
  "word": "semi-norm"
}