"positive-definite" meaning in English

{
  "antonyms": [
    {
      "word": "negative-definite"
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "positive-definite (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "73 27",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero."
      ],
      "id": "en-positive-definite-en-adj-wZ0xkzOb",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "square matrix",
          "square matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Said of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero."
      ],
      "id": "en-positive-definite-en-adj-h7OACCUQ",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "quadratic form",
          "quadratic form"
        ],
        [
          "tuple",
          "tuple"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Said of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "_dis1": "0 0",
      "word": "positive definite"
    }
  ],
  "word": "positive-definite"
}

{
  "antonyms": [
    {
      "word": "negative-definite"
    }
  ],
  "categories": [
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English uncomparable adjectives"
  ],
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "positive-definite (not comparable)",
      "name": "en-adj"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "en:Linear algebra"
      ],
      "glosses": [
        "Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "square matrix",
          "square matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Linear algebra"
      ],
      "glosses": [
        "Said of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "quadratic form",
          "quadratic form"
        ],
        [
          "tuple",
          "tuple"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Said of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "positive definite"
    }
  ],
  "word": "positive-definite"
}