"Morse function" meaning in English

See Morse function in All languages combined, or Wiktionary

Noun

Forms: Morse functions [plural]
Etymology: Named after Marston Morse. Head templates: {{en-noun}} Morse function (plural Morse functions)
  1. A real-valued function on a differentiable manifold such that, at each point in its domain where the function's differential is zero, the function's Hessian is nonsingular. Wikipedia link: Marston Morse
    Sense id: en-Morse_function-en-noun-PUMXaFc~ Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English terms with non-redundant non-automated sortkeys

Inflected forms

Download JSON data for Morse function meaning in English (1.4kB)

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  "etymology_text": "Named after Marston Morse.",
  "forms": [
    {
      "form": "Morse functions",
      "tags": [
        "plural"
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  "senses": [
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      ],
      "glosses": [
        "A real-valued function on a differentiable manifold such that, at each point in its domain where the function's differential is zero, the function's Hessian is nonsingular."
      ],
      "id": "en-Morse_function-en-noun-PUMXaFc~",
      "links": [
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        [
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        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "point",
          "point"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "differential",
          "differential"
        ],
        [
          "zero",
          "zero"
        ],
        [
          "Hessian",
          "Hessian"
        ],
        [
          "nonsingular",
          "nonsingular"
        ]
      ],
      "wikipedia": [
        "Marston Morse"
      ]
    }
  ],
  "word": "Morse function"
}

{
  "etymology_text": "Named after Marston Morse.",
  "forms": [
    {
      "form": "Morse functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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  "senses": [
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      "glosses": [
        "A real-valued function on a differentiable manifold such that, at each point in its domain where the function's differential is zero, the function's Hessian is nonsingular."
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      ],
      "wikipedia": [
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}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 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.