"Lagrange polynomial" meaning in English

{
  "etymology_text": "Named after Joseph Louis Lagrange, who published on the topic in 1795, though the method was first discovered in 1779 by Edward Waring.",
  "forms": [
    {
      "form": "Lagrange polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "Lagrange polynomial (plural Lagrange polynomials)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "For a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point."
      ],
      "id": "en-Lagrange_polynomial-en-noun-W~OHPJcy",
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        [
          "degree",
          "degree"
        ],
        [
          "function",
          "function"
        ],
        [
          "coincide",
          "coincide"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Edward Waring",
        "Joseph Louis Lagrange",
        "Lagrange polynomial"
      ]
    }
  ],
  "word": "Lagrange polynomial"
}

{
  "etymology_text": "Named after Joseph Louis Lagrange, who published on the topic in 1795, though the method was first discovered in 1779 by Edward Waring.",
  "forms": [
    {
      "form": "Lagrange polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "Lagrange polynomial (plural Lagrange polynomials)",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "For a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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          "set",
          "set"
        ],
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          "point",
          "point"
        ],
        [
          "degree",
          "degree"
        ],
        [
          "function",
          "function"
        ],
        [
          "coincide",
          "coincide"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Edward Waring",
        "Joseph Louis Lagrange",
        "Lagrange polynomial"
      ]
    }
  ],
  "word": "Lagrange polynomial"
}