"maximal" meaning in English

See maximal in All languages combined, or Wiktionary

Adjective

IPA: /ˈmæksɪməl/ Audio: LL-Q1860 (eng)-Vealhurl-maximal.wav
Etymology: maximum + -al Etymology templates: {{suffix|en|maximum|al}} maximum + -al Head templates: {{head|en|adjective}} maximal
  1. Largest, greatest (in magnitude), highest, most. Translations (Largest, greatest, highest, most): máximu (Asturian), максіма́льны (maksimálʹny) (Belarusian), maximální (Czech), maksimal (Danish), maximaal (Dutch), maksimaalinen (Finnish), mahdollisimman suuri (Finnish), maximal [masculine] (French), maximum (French), maximal (German), maximális (Hungarian), maksimal (Indonesian), massimo (Italian), максималды (maksimaldy) (Kazakh), ең көп (eñ köp) (Kazakh), maksymalny (Polish), máximo (Portuguese), maximal (Portuguese), maximal (Romanian), максима́льный (maksimálʹnyj) (Russian), máximo (Spanish), maximal (Swedish), azami (Turkish), en fazla (Turkish), максима́льний (maksymálʹnyj) (Ukrainian)
    Sense id: en-maximal-en-adj-cI7H97jZ Categories (other): English entries with incorrect language header, Terms with Hungarian translations Disambiguation of English entries with incorrect language header: 23 13 24 10 4 25 Disambiguation of Terms with Hungarian translations: 18 15 25 14 8 20 Disambiguation of 'Largest, greatest, highest, most': 78 8 14
  2. (mathematics, of a sequence) Larger than any previous term in the sequence. Categories (topical): Mathematics
    Sense id: en-maximal-en-adj-Buknq0ia Categories (other): English entries with incorrect language header, Terms with Hungarian translations Disambiguation of English entries with incorrect language header: 23 13 24 10 4 25 Disambiguation of Terms with Hungarian translations: 18 15 25 14 8 20 Topics: mathematics, sciences
  3. (mathematics, of an element of a poset) Such that no other element is greater (with respect to the given partial order). Categories (topical): Mathematics
    Sense id: en-maximal-en-adj-Uesjk~6y Categories (other): English entries with incorrect language header, English terms suffixed with -al, Terms with Asturian translations, Terms with Belarusian translations, Terms with Czech translations, Terms with Danish translations, Terms with Dutch translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Hungarian translations, Terms with Indonesian translations, Terms with Italian translations, Terms with Kazakh translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Romanian translations, Terms with Russian translations, Terms with Spanish translations, Terms with Swedish translations, Terms with Turkish translations, Terms with Ukrainian translations Disambiguation of English entries with incorrect language header: 23 13 24 10 4 25 Disambiguation of English terms suffixed with -al: 18 17 30 14 5 17 Disambiguation of Terms with Asturian translations: 20 15 26 12 7 20 Disambiguation of Terms with Belarusian translations: 20 16 27 13 5 19 Disambiguation of Terms with Czech translations: 17 15 29 12 9 19 Disambiguation of Terms with Danish translations: 16 13 40 9 4 17 Disambiguation of Terms with Dutch translations: 18 15 28 15 5 20 Disambiguation of Terms with Finnish translations: 19 15 31 12 5 18 Disambiguation of Terms with French translations: 19 15 28 15 5 18 Disambiguation of Terms with German translations: 19 15 31 12 4 19 Disambiguation of Terms with Hungarian translations: 18 15 25 14 8 20 Disambiguation of Terms with Indonesian translations: 20 16 27 13 5 19 Disambiguation of Terms with Italian translations: 21 16 28 13 4 19 Disambiguation of Terms with Kazakh translations: 20 15 26 12 6 20 Disambiguation of Terms with Polish translations: 19 15 27 14 6 19 Disambiguation of Terms with Portuguese translations: 20 15 26 12 6 20 Disambiguation of Terms with Romanian translations: 20 16 27 13 5 19 Disambiguation of Terms with Russian translations: 20 15 32 13 3 18 Disambiguation of Terms with Spanish translations: 21 14 28 14 3 19 Disambiguation of Terms with Swedish translations: 19 15 29 12 6 19 Disambiguation of Terms with Turkish translations: 20 15 26 12 6 20 Disambiguation of Terms with Ukrainian translations: 20 15 26 12 6 20 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Synonyms: maximum [adjective] Derived forms: halfmaximal, maximal ideal, maximal munch, submaximal, supermaximal Related terms: maximative

Noun

IPA: /ˈmæksɪməl/ Audio: LL-Q1860 (eng)-Vealhurl-maximal.wav Forms: maximals [plural]
Etymology: maximum + -al Etymology templates: {{suffix|en|maximum|al}} maximum + -al Head templates: {{en-noun}} maximal (plural maximals)
  1. (mathematics) The element of a set with the greatest magnitude. Categories (topical): Mathematics
    Sense id: en-maximal-en-noun--wg7e43s Categories (other): English entries with incorrect language header, Terms with Hungarian translations Disambiguation of English entries with incorrect language header: 23 13 24 10 4 25 Disambiguation of Terms with Hungarian translations: 18 15 25 14 8 20 Topics: mathematics, sciences
  2. (mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper). Categories (topical): Mathematics
    Sense id: en-maximal-en-noun-y~UUnjcz Topics: mathematics, sciences
  3. (logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ. Categories (topical): Logic
    Sense id: en-maximal-en-noun-gBFvqEGy Categories (other): English entries with incorrect language header, Terms with Hungarian translations Disambiguation of English entries with incorrect language header: 23 13 24 10 4 25 Disambiguation of Terms with Hungarian translations: 18 15 25 14 8 20 Topics: human-sciences, logic, mathematics, philosophy, sciences
The following are not (yet) sense-disambiguated
Synonyms: maximum

Inflected forms

Alternative forms

Download JSON data for maximal meaning in English (13.1kB)

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  "abbreviations": [
    {
      "word": "max."
    }
  ],
  "antonyms": [
    {
      "word": "minimal"
    }
  ],
  "derived": [
    {
      "_dis1": "0 0 0",
      "word": "halfmaximal"
    },
    {
      "_dis1": "0 0 0",
      "word": "maximal ideal"
    },
    {
      "_dis1": "0 0 0",
      "word": "maximal munch"
    },
    {
      "_dis1": "0 0 0",
      "word": "submaximal"
    },
    {
      "_dis1": "0 0 0",
      "word": "supermaximal"
    }
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  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "_dis1": "0 0 0",
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      "glosses": [
        "Largest, greatest (in magnitude), highest, most."
      ],
      "id": "en-maximal-en-adj-cI7H97jZ",
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        {
          "_dis1": "78 8 14",
          "code": "ast",
          "lang": "Asturian",
          "sense": "Largest, greatest, highest, most",
          "word": "máximu"
        },
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          "_dis1": "78 8 14",
          "code": "be",
          "lang": "Belarusian",
          "roman": "maksimálʹny",
          "sense": "Largest, greatest, highest, most",
          "word": "максіма́льны"
        },
        {
          "_dis1": "78 8 14",
          "code": "cs",
          "lang": "Czech",
          "sense": "Largest, greatest, highest, most",
          "word": "maximální"
        },
        {
          "_dis1": "78 8 14",
          "code": "da",
          "lang": "Danish",
          "sense": "Largest, greatest, highest, most",
          "word": "maksimal"
        },
        {
          "_dis1": "78 8 14",
          "code": "nl",
          "lang": "Dutch",
          "sense": "Largest, greatest, highest, most",
          "word": "maximaal"
        },
        {
          "_dis1": "78 8 14",
          "code": "fi",
          "lang": "Finnish",
          "sense": "Largest, greatest, highest, most",
          "word": "maksimaalinen"
        },
        {
          "_dis1": "78 8 14",
          "code": "fi",
          "lang": "Finnish",
          "sense": "Largest, greatest, highest, most",
          "word": "mahdollisimman suuri"
        },
        {
          "_dis1": "78 8 14",
          "code": "fr",
          "lang": "French",
          "sense": "Largest, greatest, highest, most",
          "tags": [
            "masculine"
          ],
          "word": "maximal"
        },
        {
          "_dis1": "78 8 14",
          "code": "fr",
          "lang": "French",
          "sense": "Largest, greatest, highest, most",
          "word": "maximum"
        },
        {
          "_dis1": "78 8 14",
          "code": "de",
          "lang": "German",
          "sense": "Largest, greatest, highest, most",
          "word": "maximal"
        },
        {
          "_dis1": "78 8 14",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "Largest, greatest, highest, most",
          "word": "maximális"
        },
        {
          "_dis1": "78 8 14",
          "code": "id",
          "lang": "Indonesian",
          "sense": "Largest, greatest, highest, most",
          "word": "maksimal"
        },
        {
          "_dis1": "78 8 14",
          "code": "it",
          "lang": "Italian",
          "sense": "Largest, greatest, highest, most",
          "word": "massimo"
        },
        {
          "_dis1": "78 8 14",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "maksimaldy",
          "sense": "Largest, greatest, highest, most",
          "word": "максималды"
        },
        {
          "_dis1": "78 8 14",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "eñ köp",
          "sense": "Largest, greatest, highest, most",
          "word": "ең көп"
        },
        {
          "_dis1": "78 8 14",
          "code": "pl",
          "lang": "Polish",
          "sense": "Largest, greatest, highest, most",
          "word": "maksymalny"
        },
        {
          "_dis1": "78 8 14",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "Largest, greatest, highest, most",
          "word": "máximo"
        },
        {
          "_dis1": "78 8 14",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "Largest, greatest, highest, most",
          "word": "maximal"
        },
        {
          "_dis1": "78 8 14",
          "code": "ro",
          "lang": "Romanian",
          "sense": "Largest, greatest, highest, most",
          "word": "maximal"
        },
        {
          "_dis1": "78 8 14",
          "code": "ru",
          "lang": "Russian",
          "roman": "maksimálʹnyj",
          "sense": "Largest, greatest, highest, most",
          "word": "максима́льный"
        },
        {
          "_dis1": "78 8 14",
          "code": "es",
          "lang": "Spanish",
          "sense": "Largest, greatest, highest, most",
          "word": "máximo"
        },
        {
          "_dis1": "78 8 14",
          "code": "sv",
          "lang": "Swedish",
          "sense": "Largest, greatest, highest, most",
          "word": "maximal"
        },
        {
          "_dis1": "78 8 14",
          "code": "tr",
          "lang": "Turkish",
          "sense": "Largest, greatest, highest, most",
          "word": "azami"
        },
        {
          "_dis1": "78 8 14",
          "code": "tr",
          "lang": "Turkish",
          "sense": "Largest, greatest, highest, most",
          "word": "en fazla"
        },
        {
          "_dis1": "78 8 14",
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "maksymálʹnyj",
          "sense": "Largest, greatest, highest, most",
          "word": "максима́льний"
        }
      ]
    },
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          "langcode": "en",
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          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
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          "_dis": "18 15 25 14 8 20",
          "kind": "other",
          "name": "Terms with Hungarian translations",
          "parents": [],
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      ],
      "examples": [
        {
          "text": "In the sequence (1, 2, 10, 5, 12, 6), the fifth term, f(5) = 12, is a maximal term, as each of the first 4 terms are smaller than 12."
        }
      ],
      "glosses": [
        "Larger than any previous term in the sequence."
      ],
      "id": "en-maximal-en-adj-Buknq0ia",
      "links": [
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          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a sequence) Larger than any previous term in the sequence."
      ],
      "raw_tags": [
        "of a sequence"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
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          "text": "With respect to the ordering induced by set-theoretic inclusion, the set #x5C;#x7B;#x5C;#x7B;2#x5C;#x7D;,#x5C;#x7B;1,2#x5C;#x7D;,#x5C;#x7B;2,3#x5C;#x7D;#x5C;#x7D; has two maximal elements: #x5C;#x7B;1,2#x5C;#x7D; and #x5C;#x7B;2,3#x5C;#x7D;",
          "type": "example"
        }
      ],
      "glosses": [
        "Such that no other element is greater (with respect to the given partial order)."
      ],
      "id": "en-maximal-en-adj-Uesjk~6y",
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          "mathematics"
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        [
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      "raw_glosses": [
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      "ipa": "/ˈmæksɪməl/"
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  "synonyms": [
    {
      "_dis1": "0 0 0",
      "tags": [
        "adjective"
      ],
      "word": "maximum"
    }
  ],
  "word": "maximal"
}

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        "The element of a set with the greatest magnitude."
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      "id": "en-maximal-en-noun--wg7e43s",
      "links": [
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        "(mathematics) The element of a set with the greatest magnitude."
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        "(mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper)."
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          ],
          "source": "w"
        },
        {
          "_dis": "23 13 24 10 4 25",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "18 15 25 14 8 20",
          "kind": "other",
          "name": "Terms with Hungarian translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ."
      ],
      "id": "en-maximal-en-noun-gBFvqEGy",
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "well-formed formula",
          "well-formed formula"
        ],
        [
          "inconsistent",
          "inconsistent"
        ]
      ],
      "raw_glosses": [
        "(logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈmæksɪməl/"
    },
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-maximal.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/eb/LL-Q1860_%28eng%29-Vealhurl-maximal.wav/LL-Q1860_%28eng%29-Vealhurl-maximal.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/eb/LL-Q1860_%28eng%29-Vealhurl-maximal.wav/LL-Q1860_%28eng%29-Vealhurl-maximal.wav.ogg"
    }
  ],
  "synonyms": [
    {
      "_dis1": "0 0 0",
      "word": "maximum"
    }
  ],
  "word": "maximal"
}
{
  "abbreviations": [
    {
      "word": "max."
    }
  ],
  "antonyms": [
    {
      "word": "minimal"
    }
  ],
  "categories": [
    "English 3-syllable words",
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -al",
    "English terms with IPA pronunciation",
    "English terms with audio links",
    "Terms with Asturian translations",
    "Terms with Belarusian translations",
    "Terms with Czech translations",
    "Terms with Danish translations",
    "Terms with Dutch translations",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Hungarian translations",
    "Terms with Indonesian translations",
    "Terms with Italian translations",
    "Terms with Kazakh translations",
    "Terms with Polish translations",
    "Terms with Portuguese translations",
    "Terms with Romanian translations",
    "Terms with Russian translations",
    "Terms with Spanish translations",
    "Terms with Swedish translations",
    "Terms with Turkish translations",
    "Terms with Ukrainian translations"
  ],
  "derived": [
    {
      "word": "halfmaximal"
    },
    {
      "word": "maximal ideal"
    },
    {
      "word": "maximal munch"
    },
    {
      "word": "submaximal"
    },
    {
      "word": "supermaximal"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "maximum",
        "3": "al"
      },
      "expansion": "maximum + -al",
      "name": "suffix"
    }
  ],
  "etymology_text": "maximum + -al",
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "adjective"
      },
      "expansion": "maximal",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "maximative"
    }
  ],
  "senses": [
    {
      "glosses": [
        "Largest, greatest (in magnitude), highest, most."
      ],
      "links": [
        [
          "Largest",
          "largest"
        ],
        [
          "greatest",
          "greatest"
        ],
        [
          "magnitude",
          "magnitude"
        ],
        [
          "highest",
          "highest"
        ],
        [
          "most",
          "most"
        ]
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "In the sequence (1, 2, 10, 5, 12, 6), the fifth term, f(5) = 12, is a maximal term, as each of the first 4 terms are smaller than 12."
        }
      ],
      "glosses": [
        "Larger than any previous term in the sequence."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a sequence) Larger than any previous term in the sequence."
      ],
      "raw_tags": [
        "of a sequence"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "With respect to the ordering induced by set-theoretic inclusion, the set #x5C;#x7B;#x5C;#x7B;2#x5C;#x7D;,#x5C;#x7B;1,2#x5C;#x7D;,#x5C;#x7B;2,3#x5C;#x7D;#x5C;#x7D; has two maximal elements: #x5C;#x7B;1,2#x5C;#x7D; and #x5C;#x7B;2,3#x5C;#x7D;",
          "type": "example"
        }
      ],
      "glosses": [
        "Such that no other element is greater (with respect to the given partial order)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "poset",
          "poset"
        ],
        [
          "partial order",
          "partial order"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of an element of a poset) Such that no other element is greater (with respect to the given partial order)."
      ],
      "raw_tags": [
        "of an element of a poset"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈmæksɪməl/"
    },
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-maximal.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/eb/LL-Q1860_%28eng%29-Vealhurl-maximal.wav/LL-Q1860_%28eng%29-Vealhurl-maximal.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/eb/LL-Q1860_%28eng%29-Vealhurl-maximal.wav/LL-Q1860_%28eng%29-Vealhurl-maximal.wav.ogg"
    }
  ],
  "synonyms": [
    {
      "tags": [
        "adjective"
      ],
      "word": "maximum"
    }
  ],
  "translations": [
    {
      "code": "ast",
      "lang": "Asturian",
      "sense": "Largest, greatest, highest, most",
      "word": "máximu"
    },
    {
      "code": "be",
      "lang": "Belarusian",
      "roman": "maksimálʹny",
      "sense": "Largest, greatest, highest, most",
      "word": "максіма́льны"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "Largest, greatest, highest, most",
      "word": "maximální"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "Largest, greatest, highest, most",
      "word": "maksimal"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "Largest, greatest, highest, most",
      "word": "maximaal"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Largest, greatest, highest, most",
      "word": "maksimaalinen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Largest, greatest, highest, most",
      "word": "mahdollisimman suuri"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Largest, greatest, highest, most",
      "tags": [
        "masculine"
      ],
      "word": "maximal"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Largest, greatest, highest, most",
      "word": "maximum"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Largest, greatest, highest, most",
      "word": "maximal"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "Largest, greatest, highest, most",
      "word": "maximális"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "Largest, greatest, highest, most",
      "word": "maksimal"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Largest, greatest, highest, most",
      "word": "massimo"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "maksimaldy",
      "sense": "Largest, greatest, highest, most",
      "word": "максималды"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "eñ köp",
      "sense": "Largest, greatest, highest, most",
      "word": "ең көп"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Largest, greatest, highest, most",
      "word": "maksymalny"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Largest, greatest, highest, most",
      "word": "máximo"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Largest, greatest, highest, most",
      "word": "maximal"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "Largest, greatest, highest, most",
      "word": "maximal"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "maksimálʹnyj",
      "sense": "Largest, greatest, highest, most",
      "word": "максима́льный"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "Largest, greatest, highest, most",
      "word": "máximo"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "Largest, greatest, highest, most",
      "word": "maximal"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "Largest, greatest, highest, most",
      "word": "azami"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "Largest, greatest, highest, most",
      "word": "en fazla"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "maksymálʹnyj",
      "sense": "Largest, greatest, highest, most",
      "word": "максима́льний"
    }
  ],
  "word": "maximal"
}

{
  "categories": [
    "English 3-syllable words",
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -al",
    "English terms with IPA pronunciation",
    "English terms with audio links",
    "Terms with Asturian translations",
    "Terms with Belarusian translations",
    "Terms with Czech translations",
    "Terms with Danish translations",
    "Terms with Dutch translations",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Hungarian translations",
    "Terms with Indonesian translations",
    "Terms with Italian translations",
    "Terms with Kazakh translations",
    "Terms with Polish translations",
    "Terms with Portuguese translations",
    "Terms with Romanian translations",
    "Terms with Russian translations",
    "Terms with Spanish translations",
    "Terms with Swedish translations",
    "Terms with Turkish translations",
    "Terms with Ukrainian translations"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "maximum",
        "3": "al"
      },
      "expansion": "maximum + -al",
      "name": "suffix"
    }
  ],
  "etymology_text": "maximum + -al",
  "forms": [
    {
      "form": "maximals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "maximal (plural maximals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "The element of a set with the greatest magnitude."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "magnitude",
          "magnitude"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The element of a set with the greatest magnitude."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "ideal",
          "ideal"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "filter",
          "filter"
        ],
        [
          "lattice",
          "lattice"
        ],
        [
          "trivial",
          "trivial"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Logic"
      ],
      "glosses": [
        "Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ."
      ],
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "well-formed formula",
          "well-formed formula"
        ],
        [
          "inconsistent",
          "inconsistent"
        ]
      ],
      "raw_glosses": [
        "(logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈmæksɪməl/"
    },
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-maximal.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/eb/LL-Q1860_%28eng%29-Vealhurl-maximal.wav/LL-Q1860_%28eng%29-Vealhurl-maximal.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/eb/LL-Q1860_%28eng%29-Vealhurl-maximal.wav/LL-Q1860_%28eng%29-Vealhurl-maximal.wav.ogg"
    }
  ],
  "synonyms": [
    {
      "word": "maximum"
    }
  ],
  "word": "maximal"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-19 from the enwiktionary dump dated 2024-06-06 using wiktextract (372f256 and 664a3bc). 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.