"extremal" meaning in English

{
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        "2": "extreme",
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      "expansion": "extreme + -al",
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  ],
  "etymology_text": "extreme + -al",
  "head_templates": [
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      "expansion": "extremal (not comparable)",
      "name": "en-adj"
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
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          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "extremal black hole"
        },
        {
          "english": "in a recursive definition",
          "word": "extremal clause"
        },
        {
          "word": "near-extremal"
        },
        {
          "word": "subextremal"
        },
        {
          "word": "superextremal"
        }
      ],
      "examples": [
        {
          "ref": "2009 January, “Mathematics Calendar”, in Notices of the American Mathematical Society, volume 56, number 1, page 73",
          "text": "Tutorials provide an introduction to several major research topics in modern discrete mathematics, including probabilistic methods, extremal problems for graphs and set systems, Ramsey theory, additive number theory, combinatorial geometry, discrete harmonic analysis and more.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Relating to extrema (maximal or minimal)."
      ],
      "id": "en-extremal-en-adj-BNoHeEJ5",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "extrema",
          "extremum"
        ],
        [
          "maximal",
          "maximal"
        ],
        [
          "minimal",
          "minimal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Relating to extrema (maximal or minimal)."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "ääriarvo-"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "ääriarvoon liittyvä"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "extremal"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "word": "ekstremalny"
        }
      ]
    }
  ],
  "word": "extremal"
}

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        "2": "extreme",
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  ],
  "etymology_text": "extreme + -al",
  "forms": [
    {
      "form": "extremals",
      "tags": [
        "plural"
      ]
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      "expansion": "extremal (plural extremals)",
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  "lang_code": "en",
  "pos": "noun",
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          "_dis": "38 62",
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          "source": "w+disamb"
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      ],
      "glosses": [
        "Any solution to a variety of equations in the calculus of variations."
      ],
      "id": "en-extremal-en-noun-x9dZ-qEy",
      "links": [
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          "mathematics",
          "mathematics"
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        [
          "solution",
          "solution"
        ],
        [
          "equation",
          "equation"
        ],
        [
          "calculus of variations",
          "calculus of variations"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any solution to a variety of equations in the calculus of variations."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "extremal"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
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    "English nouns",
    "English terms suffixed with -al",
    "English uncomparable adjectives",
    "Translation table header lacks gloss"
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  "derived": [
    {
      "word": "extremal black hole"
    },
    {
      "english": "in a recursive definition",
      "word": "extremal clause"
    },
    {
      "word": "near-extremal"
    },
    {
      "word": "subextremal"
    },
    {
      "word": "superextremal"
    }
  ],
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  ],
  "etymology_text": "extreme + -al",
  "head_templates": [
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  "lang_code": "en",
  "pos": "adj",
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          "ref": "2009 January, “Mathematics Calendar”, in Notices of the American Mathematical Society, volume 56, number 1, page 73",
          "text": "Tutorials provide an introduction to several major research topics in modern discrete mathematics, including probabilistic methods, extremal problems for graphs and set systems, Ramsey theory, additive number theory, combinatorial geometry, discrete harmonic analysis and more.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Relating to extrema (maximal or minimal)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "extrema",
          "extremum"
        ],
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          "maximal",
          "maximal"
        ],
        [
          "minimal",
          "minimal"
        ]
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      "raw_glosses": [
        "(mathematics) Relating to extrema (maximal or minimal)."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "ääriarvo-"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "ääriarvoon liittyvä"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "extremal"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "word": "ekstremalny"
    }
  ],
  "word": "extremal"
}

{
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    "English countable nouns",
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    "English nouns",
    "English terms suffixed with -al",
    "English uncomparable adjectives",
    "Translation table header lacks gloss"
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  ],
  "etymology_text": "extreme + -al",
  "forms": [
    {
      "form": "extremals",
      "tags": [
        "plural"
      ]
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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      ],
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        ],
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        ],
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          "calculus of variations"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any solution to a variety of equations in the calculus of variations."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "extremal"
}