"orthonormal" meaning in English

See orthonormal in All languages combined, or Wiktionary

Adjective

Etymology: Blend of orthogonal + normal. Etymology templates: {{blend|en|orthogonal|normal}} Blend of orthogonal + normal Head templates: {{en-adj|-}} orthonormal (not comparable)
  1. (mathematics) Of a set of vectors, both orthogonal and normalized. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-orthonormal-en-adj-3gd9vJZF Topics: mathematics, sciences
  2. (mathematics) Of a linear transformation that preserves both angles and lengths. Tags: not-comparable Categories (topical): Mathematics Translations (mathematical term): ortonormální (Czech), orthonormaal (Dutch), ortonormaali (Finnish), orthonormal (German), ορθοκανονικός (orthokanonikós) (Greek), ortonormal (Swedish), ortonormerad (Swedish)
    Sense id: en-orthonormal-en-adj-b2y9dPp5 Categories (other): English blends, English entries with incorrect language header, English entries with language name categories using raw markup, English hybridisms Disambiguation of English blends: 34 66 Disambiguation of English entries with incorrect language header: 22 78 Disambiguation of English entries with language name categories using raw markup: 21 79 Disambiguation of English hybridisms: 22 78 Topics: mathematics, sciences Disambiguation of 'mathematical term': 42 58
The following are not (yet) sense-disambiguated
Derived forms: biorthonormal, orthonormal function, orthonormality, orthonormalization, orthonormalize Related terms: orthogonal

Download JSON data for orthonormal meaning in English (3.3kB)

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "biorthonormal"
    },
    {
      "_dis1": "0 0",
      "word": "orthonormal function"
    },
    {
      "_dis1": "0 0",
      "word": "orthonormality"
    },
    {
      "_dis1": "0 0",
      "word": "orthonormalization"
    },
    {
      "_dis1": "0 0",
      "word": "orthonormalize"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "orthogonal",
        "3": "normal"
      },
      "expansion": "Blend of orthogonal + normal",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of orthogonal + normal.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "orthonormal (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "_dis1": "0 0",
      "word": "orthogonal"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Of a set of vectors, both orthogonal and normalized."
      ],
      "id": "en-orthonormal-en-adj-3gd9vJZF",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "orthogonal",
          "orthogonal"
        ],
        [
          "normalized",
          "normalized"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a set of vectors, both orthogonal and normalized."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "34 66",
          "kind": "other",
          "name": "English blends",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "22 78",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "21 79",
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "22 78",
          "kind": "other",
          "name": "English hybridisms",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Of a linear transformation that preserves both angles and lengths."
      ],
      "id": "en-orthonormal-en-adj-b2y9dPp5",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "transformation",
          "transformation"
        ],
        [
          "preserve",
          "preserve"
        ],
        [
          "angle",
          "angle"
        ],
        [
          "length",
          "length"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a linear transformation that preserves both angles and lengths."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "42 58",
          "code": "cs",
          "lang": "Czech",
          "sense": "mathematical term",
          "word": "ortonormální"
        },
        {
          "_dis1": "42 58",
          "code": "nl",
          "lang": "Dutch",
          "sense": "mathematical term",
          "word": "orthonormaal"
        },
        {
          "_dis1": "42 58",
          "code": "fi",
          "lang": "Finnish",
          "sense": "mathematical term",
          "word": "ortonormaali"
        },
        {
          "_dis1": "42 58",
          "code": "de",
          "lang": "German",
          "sense": "mathematical term",
          "word": "orthonormal"
        },
        {
          "_dis1": "42 58",
          "code": "el",
          "lang": "Greek",
          "roman": "orthokanonikós",
          "sense": "mathematical term",
          "word": "ορθοκανονικός"
        },
        {
          "_dis1": "42 58",
          "code": "sv",
          "lang": "Swedish",
          "sense": "mathematical term",
          "word": "ortonormal"
        },
        {
          "_dis1": "42 58",
          "code": "sv",
          "lang": "Swedish",
          "sense": "mathematical term",
          "word": "ortonormerad"
        }
      ]
    }
  ],
  "wikipedia": [
    "orthonormal"
  ],
  "word": "orthonormal"
}
{
  "categories": [
    "English adjectives",
    "English blends",
    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
    "English hybridisms",
    "English lemmas",
    "English uncomparable adjectives"
  ],
  "derived": [
    {
      "word": "biorthonormal"
    },
    {
      "word": "orthonormal function"
    },
    {
      "word": "orthonormality"
    },
    {
      "word": "orthonormalization"
    },
    {
      "word": "orthonormalize"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "orthogonal",
        "3": "normal"
      },
      "expansion": "Blend of orthogonal + normal",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of orthogonal + normal.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "orthonormal (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "orthogonal"
    }
  ],
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Of a set of vectors, both orthogonal and normalized."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "orthogonal",
          "orthogonal"
        ],
        [
          "normalized",
          "normalized"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a set of vectors, both orthogonal and normalized."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Of a linear transformation that preserves both angles and lengths."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "transformation",
          "transformation"
        ],
        [
          "preserve",
          "preserve"
        ],
        [
          "angle",
          "angle"
        ],
        [
          "length",
          "length"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a linear transformation that preserves both angles and lengths."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "mathematical term",
      "word": "ortonormální"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "mathematical term",
      "word": "orthonormaal"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematical term",
      "word": "ortonormaali"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical term",
      "word": "orthonormal"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "orthokanonikós",
      "sense": "mathematical term",
      "word": "ορθοκανονικός"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "mathematical term",
      "word": "ortonormal"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "mathematical term",
      "word": "ortonormerad"
    }
  ],
  "wikipedia": [
    "orthonormal"
  ],
  "word": "orthonormal"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c and c9440ce). 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.