"ultraspherical" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "spherical"
      },
      "expansion": "ultra- + spherical",
      "name": "prefix"
    }
  ],
  "etymology_text": "From ultra- + spherical.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "ultraspherical (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with ultra-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "ultraspherical polynomial"
        }
      ],
      "examples": [
        {
          "ref": "2008, Daniele Funaro, Polynomial Approximation of Differential Equations, →ISBN, page 116:",
          "text": "Thus, an estimate for 0 < v < 1, can be derived from theorem 6.6.1, by noting that v is an ultraspherical weight function, whose exponent is negative.",
          "type": "quote"
        },
        {
          "ref": "2015, Richard Mikael Slevinsky, Sheehan Olver, “A fast and well-conditioned spectral method for singular integral equations”, in (Please provide the book title or journal name):",
          "text": "We develop a spectral method for solving univariate singular integral equations over unions of intervals by utilizing Chebyshev and ultraspherical polynomials to reformulate the equations as almost-banded infinite-dimensional systems.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Related to or involving a Gegenbauer polynomial."
      ],
      "id": "en-ultraspherical-en-adj-l7cTRNlr",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Related to or involving a Gegenbauer polynomial."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "ultraspherical"
}

{
  "derived": [
    {
      "word": "ultraspherical polynomial"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "spherical"
      },
      "expansion": "ultra- + spherical",
      "name": "prefix"
    }
  ],
  "etymology_text": "From ultra- + spherical.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "ultraspherical (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with ultra-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2008, Daniele Funaro, Polynomial Approximation of Differential Equations, →ISBN, page 116:",
          "text": "Thus, an estimate for 0 < v < 1, can be derived from theorem 6.6.1, by noting that v is an ultraspherical weight function, whose exponent is negative.",
          "type": "quote"
        },
        {
          "ref": "2015, Richard Mikael Slevinsky, Sheehan Olver, “A fast and well-conditioned spectral method for singular integral equations”, in (Please provide the book title or journal name):",
          "text": "We develop a spectral method for solving univariate singular integral equations over unions of intervals by utilizing Chebyshev and ultraspherical polynomials to reformulate the equations as almost-banded infinite-dimensional systems.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Related to or involving a Gegenbauer polynomial."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Related to or involving a Gegenbauer polynomial."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "ultraspherical"
}