"Wiener-Hopf method" meaning in English

See Wiener-Hopf method in All languages combined, or Wiktionary

Proper name

Forms: the Wiener-Hopf method [canonical]
Etymology: Developed by Norbert Wiener and Eberhard Hopf. Head templates: {{en-prop|def=1}} the Wiener-Hopf method
  1. (mathematics) A technique for solving systems of integral equations, with wider use in solving two-dimensional partial differential equations with mixed boundary conditions on the same boundary. It works by exploiting the complex-analytical properties of transformed functions. Categories (topical): Mathematics
    Sense id: en-Wiener-Hopf_method-en-name-guih7FTb Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences
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  "etymology_text": "Developed by Norbert Wiener and Eberhard Hopf.",
  "forms": [
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      "tags": [
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A technique for solving systems of integral equations, with wider use in solving two-dimensional partial differential equations with mixed boundary conditions on the same boundary. It works by exploiting the complex-analytical properties of transformed functions."
      ],
      "id": "en-Wiener-Hopf_method-en-name-guih7FTb",
      "links": [
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          "mathematics",
          "mathematics"
        ],
        [
          "integral equation",
          "integral equation"
        ],
        [
          "partial differential equation",
          "partial differential equation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A technique for solving systems of integral equations, with wider use in solving two-dimensional partial differential equations with mixed boundary conditions on the same boundary. It works by exploiting the complex-analytical properties of transformed functions."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Wiener-Hopf method"
}
{
  "etymology_text": "Developed by Norbert Wiener and Eberhard Hopf.",
  "forms": [
    {
      "form": "the Wiener-Hopf method",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
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      "expansion": "the Wiener-Hopf method",
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  ],
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    {
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        "English eponyms",
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        "en:Mathematics"
      ],
      "glosses": [
        "A technique for solving systems of integral equations, with wider use in solving two-dimensional partial differential equations with mixed boundary conditions on the same boundary. It works by exploiting the complex-analytical properties of transformed functions."
      ],
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        [
          "mathematics",
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          "integral equation",
          "integral equation"
        ],
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          "partial differential equation",
          "partial differential equation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A technique for solving systems of integral equations, with wider use in solving two-dimensional partial differential equations with mixed boundary conditions on the same boundary. It works by exploiting the complex-analytical properties of transformed functions."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Wiener-Hopf method"
}

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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 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.

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