"homogeneous function" meaning in English

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      "glosses": [
        "homogeneous polynomial"
      ],
      "id": "en-homogeneous_function-en-noun-zcIJdn0U",
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          "mathematics",
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        [
          "homogeneous polynomial",
          "homogeneous polynomial"
        ]
      ],
      "raw_glosses": [
        "(mathematics) homogeneous polynomial"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "50 28 22",
          "code": "ast",
          "lang": "Asturian",
          "sense": "homogeneous function",
          "tags": [
            "feminine"
          ],
          "word": "función homoxénea"
        },
        {
          "_dis1": "50 28 22",
          "code": "ca",
          "lang": "Catalan",
          "sense": "homogeneous function",
          "tags": [
            "feminine"
          ],
          "word": "funció homogènia"
        },
        {
          "_dis1": "50 28 22",
          "code": "fr",
          "lang": "French",
          "sense": "homogeneous function",
          "tags": [
            "feminine"
          ],
          "word": "fonction homogène"
        },
        {
          "_dis1": "50 28 22",
          "code": "gl",
          "lang": "Galician",
          "sense": "homogeneous function",
          "tags": [
            "feminine"
          ],
          "word": "función homoxénea"
        },
        {
          "_dis1": "50 28 22",
          "code": "it",
          "lang": "Italian",
          "sense": "homogeneous function",
          "tags": [
            "feminine"
          ],
          "word": "funzione omogenea"
        },
        {
          "_dis1": "50 28 22",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "homogeneous function",
          "tags": [
            "Brazil",
            "feminine"
          ],
          "word": "função homogênea"
        },
        {
          "_dis1": "50 28 22",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "homogeneous function",
          "tags": [
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          "word": "função homogénea"
        },
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          "_dis1": "50 28 22",
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          "sense": "homogeneous function",
          "tags": [
            "feminine"
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          "word": "función homogénea"
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      ],
      "examples": [
        {
          "text": "(x³+xy²+x²ʸ+y³)/(z³)"
        }
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      "glosses": [
        "the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator."
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        "(mathematics) the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator."
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        "mathematics",
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      "glosses": [
        "a function f(x) which has the property that for any c, f(cx)=cf(x)."
      ],
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        "(mathematics) a function f(x) which has the property that for any c, f(cx)=cf(x)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "homogeneous function"
}

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      "form": "homogeneous functions",
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        "homogeneous polynomial"
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        "(mathematics) homogeneous polynomial"
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      "examples": [
        {
          "text": "(x³+xy²+x²ʸ+y³)/(z³)"
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        "the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator."
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        "(mathematics) the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator."
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        "(mathematics) a function f(x) which has the property that for any c, f(cx)=cf(x)."
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      "code": "ast",
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      "sense": "homogeneous function",
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        "feminine"
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      "word": "función homoxénea"
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      "code": "ca",
      "lang": "Catalan",
      "sense": "homogeneous function",
      "tags": [
        "feminine"
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      "word": "funció homogènia"
    },
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      "lang": "French",
      "sense": "homogeneous function",
      "tags": [
        "feminine"
      ],
      "word": "fonction homogène"
    },
    {
      "code": "gl",
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      "sense": "homogeneous function",
      "tags": [
        "feminine"
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      "word": "función homoxénea"
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    {
      "code": "it",
      "lang": "Italian",
      "sense": "homogeneous function",
      "tags": [
        "feminine"
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      "word": "funzione omogenea"
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    {
      "code": "pt",
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      "sense": "homogeneous function",
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        "feminine"
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      "word": "função homogênea"
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    {
      "code": "pt",
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      "tags": [
        "Portugal",
        "feminine"
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      "word": "função homogénea"
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    {
      "code": "es",
      "lang": "Spanish",
      "sense": "homogeneous function",
      "tags": [
        "feminine"
      ],
      "word": "función homogénea"
    }
  ],
  "word": "homogeneous function"
}