"Walsh function" meaning in All languages combined

See Walsh function on Wiktionary

Noun [English]

Forms: Walsh functions [plural]
Etymology: Named after the American mathematician Joseph L. Walsh. Head templates: {{en-noun}} Walsh function (plural Walsh functions)
  1. (mathematics) In harmonic analysis, any of a complete orthogonal set of functions that can be used to represent any discrete function. Categories (topical): Functions, Mathematics
    Sense id: en-Walsh_function-en-noun-Q3KdbKp~ Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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  "forms": [
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      "tags": [
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  "lang_code": "en",
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  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
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        },
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          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
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        },
        {
          "kind": "topical",
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          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "In harmonic analysis, any of a complete orthogonal set of functions that can be used to represent any discrete function."
      ],
      "id": "en-Walsh_function-en-noun-Q3KdbKp~",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In harmonic analysis, any of a complete orthogonal set of functions that can be used to represent any discrete function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Walsh function"
}
{
  "etymology_text": "Named after the American mathematician Joseph L. Walsh.",
  "forms": [
    {
      "form": "Walsh functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
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  "lang_code": "en",
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  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
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      "glosses": [
        "In harmonic analysis, any of a complete orthogonal set of functions that can be used to represent any discrete function."
      ],
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      "raw_glosses": [
        "(mathematics) In harmonic analysis, any of a complete orthogonal set of functions that can be used to represent any discrete function."
      ],
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        "mathematics",
        "sciences"
      ]
    }
  ],
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}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.