Tarski-Seidenberg theorem in English

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{
  "etymology_text": "Named after Alfred Tarski and Abraham Seidenberg.",
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        "A theorem stating that a set in (n + 1)-dimensional space defined by polynomial equations and inequalities can be projected down onto n-dimensional space, and the resulting set is still definable in terms of polynomial identities and inequalities."
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        "(mathematics) A theorem stating that a set in (n + 1)-dimensional space defined by polynomial equations and inequalities can be projected down onto n-dimensional space, and the resulting set is still definable in terms of polynomial identities and inequalities."
      ],
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        "mathematics",
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      "wikipedia": [
        "Tarski-Seidenberg theorem"
      ]
    }
  ],
  "word": "Tarski-Seidenberg theorem"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after Alfred Tarski and Abraham Seidenberg.",
  "forms": [
    {
      "form": "the Tarski-Seidenberg theorem",
      "tags": [
        "canonical"
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    }
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  "lang_code": "en",
  "pos": "name",
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        "A theorem stating that a set in (n + 1)-dimensional space defined by polynomial equations and inequalities can be projected down onto n-dimensional space, and the resulting set is still definable in terms of polynomial identities and inequalities."
      ],
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          "mathematics",
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      ],
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        "mathematics",
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  "word": "Tarski-Seidenberg theorem"
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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 2025-02-12 from the enwiktionary dump dated 2025-02-02 using wiktextract (1c4b89b and 9dbd323). 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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"Tarski-Seidenberg theorem" meaning in English

Proper name