"Tarski-Seidenberg theorem" meaning in English

{
  "etymology_text": "Named after Alfred Tarski and Abraham Seidenberg.",
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  "lang": "English",
  "lang_code": "en",
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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."
      ],
      "id": "en-Tarski-Seidenberg_theorem-en-name-QddbAklv",
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      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Tarski-Seidenberg theorem"
      ]
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  ],
  "word": "Tarski-Seidenberg theorem"
}

{
  "etymology_text": "Named after Alfred Tarski and Abraham Seidenberg.",
  "forms": [
    {
      "form": "the Tarski-Seidenberg theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
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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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        "(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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
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  "word": "Tarski-Seidenberg theorem"
}