"directional derivative" meaning in All languages combined

{
  "forms": [
    {
      "form": "directional derivatives",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "directional derivative (plural directional derivatives)",
      "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": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Calculus",
          "orig": "en:Calculus",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h."
      ],
      "id": "en-directional_derivative-en-noun-vyhmBpSW",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "function",
          "function#Noun"
        ],
        [
          "point",
          "point#Noun"
        ],
        [
          "direction",
          "direction#Noun"
        ],
        [
          "scalar function",
          "scalar function#Noun"
        ],
        [
          "vector",
          "vector#Noun"
        ],
        [
          "limit",
          "limit#Noun"
        ]
      ],
      "raw_glosses": [
        "(calculus) A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "derivata direzionale"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "pochodna kierunkowa"
        }
      ]
    }
  ],
  "word": "directional derivative"
}

{
  "forms": [
    {
      "form": "directional derivatives",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "directional derivative (plural directional derivatives)",
      "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",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Italian translations",
        "Terms with Polish translations",
        "Translation table header lacks gloss",
        "en:Calculus"
      ],
      "glosses": [
        "A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h."
      ],
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "function",
          "function#Noun"
        ],
        [
          "point",
          "point#Noun"
        ],
        [
          "direction",
          "direction#Noun"
        ],
        [
          "scalar function",
          "scalar function#Noun"
        ],
        [
          "vector",
          "vector#Noun"
        ],
        [
          "limit",
          "limit#Noun"
        ]
      ],
      "raw_glosses": [
        "(calculus) A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,…,x_n) along a vector mathbf v=(v_1,…,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "derivata direzionale"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "pochodna kierunkowa"
    }
  ],
  "word": "directional derivative"
}