"separation constant" meaning in English

{
  "forms": [
    {
      "form": "separation constants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "separation constant (plural separation constants)",
      "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": "Calculus",
          "orig": "en:Calculus",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The partial differential equation a sin ²(θ)Φ(ϕ)+Φ(ϕ) cos (θ)(∂Θ(θ))/(∂θ)+(∂²Φ)/(∂ϕ²)=0 can be rewritten a sin ²(θ)+ cos (θ)(∂Θ(θ))/(∂θ)=-1/(Φ(ϕ))(∂²Φ)/(∂ϕ²)≡K, where K is a separation constant that depends on neither θ nor ϕ. This then yields two ordinary differential equations."
        }
      ],
      "glosses": [
        "a constant that may be introduced upon separation of variables"
      ],
      "id": "en-separation_constant-en-noun-RJYYPBLA",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "separation of variables",
          "separation of variables"
        ]
      ],
      "raw_glosses": [
        "(calculus) a constant that may be introduced upon separation of variables"
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "constant introduced after separation of variables",
          "tags": [
            "feminine"
          ],
          "word": "Seperationskonstante"
        }
      ]
    }
  ],
  "word": "separation constant"
}

{
  "forms": [
    {
      "form": "separation constants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "separation constant (plural separation constants)",
      "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:Calculus"
      ],
      "examples": [
        {
          "text": "The partial differential equation a sin ²(θ)Φ(ϕ)+Φ(ϕ) cos (θ)(∂Θ(θ))/(∂θ)+(∂²Φ)/(∂ϕ²)=0 can be rewritten a sin ²(θ)+ cos (θ)(∂Θ(θ))/(∂θ)=-1/(Φ(ϕ))(∂²Φ)/(∂ϕ²)≡K, where K is a separation constant that depends on neither θ nor ϕ. This then yields two ordinary differential equations."
        }
      ],
      "glosses": [
        "a constant that may be introduced upon separation of variables"
      ],
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "separation of variables",
          "separation of variables"
        ]
      ],
      "raw_glosses": [
        "(calculus) a constant that may be introduced upon separation of variables"
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "constant introduced after separation of variables",
      "tags": [
        "feminine"
      ],
      "word": "Seperationskonstante"
    }
  ],
  "word": "separation constant"
}