"sesquilinear" meaning in English

See sesquilinear in All languages combined, or Wiktionary

Adjective

Etymology: From sesqui- (“one and a half”) + linear; “conjugate linear” being considered metaphorically “half linear”, hence one and a half times linear, as opposed to bilinear (“linear in both variables”). Etymology templates: {{prefix|en|sesqui|linear|t1=one and a half}} sesqui- (“one and a half”) + linear Head templates: {{en-adj|-}} sesquilinear (not comparable)
  1. (mathematics) (of a map of a complex vector space) Linear in one coordinate and conjugate linear in the other Tags: not-comparable Categories (topical): Mathematics Coordinate_terms: bilinear Translations ((mathematics) linear in one variable and conjugate liner in the other): półtoraliniowy (Polish)
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  "etymology_templates": [
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        "2": "sesqui",
        "3": "linear",
        "t1": "one and a half"
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      "expansion": "sesqui- (“one and a half”) + linear",
      "name": "prefix"
    }
  ],
  "etymology_text": "From sesqui- (“one and a half”) + linear; “conjugate linear” being considered metaphorically “half linear”, hence one and a half times linear, as opposed to bilinear (“linear in both variables”).",
  "head_templates": [
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      "expansion": "sesquilinear (not comparable)",
      "name": "en-adj"
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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        }
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      "coordinate_terms": [
        {
          "word": "bilinear"
        }
      ],
      "glosses": [
        "(of a map of a complex vector space) Linear in one coordinate and conjugate linear in the other"
      ],
      "id": "en-sesquilinear-en-adj-5sQlK8sr",
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        [
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        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "Linear",
          "linear"
        ],
        [
          "coordinate",
          "coordinate"
        ],
        [
          "conjugate linear",
          "conjugate linear"
        ]
      ],
      "raw_glosses": [
        "(mathematics) (of a map of a complex vector space) Linear in one coordinate and conjugate linear in the other"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "(mathematics) linear in one variable and conjugate liner in the other",
          "word": "półtoraliniowy"
        }
      ]
    }
  ],
  "word": "sesquilinear"
}
{
  "coordinate_terms": [
    {
      "word": "bilinear"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sesqui",
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        "t1": "one and a half"
      },
      "expansion": "sesqui- (“one and a half”) + linear",
      "name": "prefix"
    }
  ],
  "etymology_text": "From sesqui- (“one and a half”) + linear; “conjugate linear” being considered metaphorically “half linear”, hence one and a half times linear, as opposed to bilinear (“linear in both variables”).",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "sesquilinear (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
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        "(of a map of a complex vector space) Linear in one coordinate and conjugate linear in the other"
      ],
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          "mathematics",
          "mathematics"
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        [
          "map",
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        ],
        [
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        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "Linear",
          "linear"
        ],
        [
          "coordinate",
          "coordinate"
        ],
        [
          "conjugate linear",
          "conjugate linear"
        ]
      ],
      "raw_glosses": [
        "(mathematics) (of a map of a complex vector space) Linear in one coordinate and conjugate linear in the other"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "(mathematics) linear in one variable and conjugate liner in the other",
      "word": "półtoraliniowy"
    }
  ],
  "word": "sesquilinear"
}

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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 2024-09-01 from the enwiktionary dump dated 2024-08-20 using wiktextract (8e41825 and f99c758). 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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