"hyperinterpolation" meaning in English

See hyperinterpolation in All languages combined, or Wiktionary

Noun

Forms: hyperinterpolations [plural]
Etymology: hyper- + interpolation Etymology templates: {{prefix|en|hyper|interpolation}} hyper- + interpolation Head templates: {{en-noun|-|s}} hyperinterpolation (usually uncountable, plural hyperinterpolations)
  1. (mathematics) interpolation on a surface of more than two dimensions Tags: uncountable, usually Categories (topical): Mathematics
    Sense id: en-hyperinterpolation-en-noun-6Bb21l~L Categories (other): English entries with incorrect language header, English terms prefixed with hyper- Topics: mathematics, sciences

Inflected forms

Download JSON data for hyperinterpolation meaning in English (1.8kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "interpolation"
      },
      "expansion": "hyper- + interpolation",
      "name": "prefix"
    }
  ],
  "etymology_text": "hyper- + interpolation",
  "forms": [
    {
      "form": "hyperinterpolations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "-",
        "2": "s"
      },
      "expansion": "hyperinterpolation (usually uncountable, plural hyperinterpolations)",
      "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": "English terms prefixed with hyper-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Heping Wang, Ian H. Sloan, “On filtered polynomial approximation on the sphere”, in arXiv",
          "text": "The resulting \"filtered polynomial approximation\" (a spherical polynomial of degree 2L-1) is then made fully discrete by approximating the inner product integrals by an N-point cubature rule of suitably high polynomial degree of precision, giving an approximation called \"filtered hyperinterpolation\".",
          "type": "quotation"
        }
      ],
      "glosses": [
        "interpolation on a surface of more than two dimensions"
      ],
      "id": "en-hyperinterpolation-en-noun-6Bb21l~L",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interpolation",
          "interpolation"
        ],
        [
          "surface",
          "surface"
        ]
      ],
      "raw_glosses": [
        "(mathematics) interpolation on a surface of more than two dimensions"
      ],
      "tags": [
        "uncountable",
        "usually"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hyperinterpolation"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "interpolation"
      },
      "expansion": "hyper- + interpolation",
      "name": "prefix"
    }
  ],
  "etymology_text": "hyper- + interpolation",
  "forms": [
    {
      "form": "hyperinterpolations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "-",
        "2": "s"
      },
      "expansion": "hyperinterpolation (usually uncountable, plural hyperinterpolations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with hyper-",
        "English terms with quotations",
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Heping Wang, Ian H. Sloan, “On filtered polynomial approximation on the sphere”, in arXiv",
          "text": "The resulting \"filtered polynomial approximation\" (a spherical polynomial of degree 2L-1) is then made fully discrete by approximating the inner product integrals by an N-point cubature rule of suitably high polynomial degree of precision, giving an approximation called \"filtered hyperinterpolation\".",
          "type": "quotation"
        }
      ],
      "glosses": [
        "interpolation on a surface of more than two dimensions"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "interpolation",
          "interpolation"
        ],
        [
          "surface",
          "surface"
        ]
      ],
      "raw_glosses": [
        "(mathematics) interpolation on a surface of more than two dimensions"
      ],
      "tags": [
        "uncountable",
        "usually"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hyperinterpolation"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.