"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"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Lipschitz condition (plural Lipschitz conditions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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",
      "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."
      ],
      "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"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Lipschitz condition (plural Lipschitz conditions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematical analysis"
      ],
      "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."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Rudolf Lipschitz"
      ]
    }
  ],
  "word": "Lipschitz condition"
}