"Lipschitz condition" meaning in English

{
  "etymology_text": "Named after Rudolf Lipschitz (1832–1903), a German mathematician. It is called a \"condition\" because it is a sufficient (but not necessary) condition for continuity of a function.",
  "forms": [
    {
      "form": "Lipschitz conditions",
      "tags": [
        "plural"
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      "expansion": "Lipschitz condition (plural Lipschitz conditions)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points."
      ],
      "id": "en-Lipschitz_condition-en-noun-3bWcPwAi",
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          "mathematical analysis",
          "mathematical analysis"
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        [
          "domain",
          "domain"
        ],
        [
          "neighborhood",
          "neighborhood"
        ],
        [
          "absolute value",
          "absolute value"
        ],
        [
          "function value",
          "function value"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Rudolf Lipschitz"
      ]
    }
  ],
  "word": "Lipschitz condition"
}

{
  "etymology_text": "Named after Rudolf Lipschitz (1832–1903), a German mathematician. It is called a \"condition\" because it is a sufficient (but not necessary) condition for continuity of a function.",
  "forms": [
    {
      "form": "Lipschitz conditions",
      "tags": [
        "plural"
      ]
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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        "English entries with incorrect language header",
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        "en:Mathematical analysis"
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      "glosses": [
        "A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "neighborhood",
          "neighborhood"
        ],
        [
          "absolute value",
          "absolute value"
        ],
        [
          "function value",
          "function value"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points."
      ],
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        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Rudolf Lipschitz"
      ]
    }
  ],
  "word": "Lipschitz condition"
}