"unit vector" meaning in All languages combined

See unit vector on Wiktionary

Noun [English]

Forms: unit vectors [plural]
Head templates: {{en-noun}} unit vector (plural unit vectors)
  1. (linear algebra, mathematical analysis) A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖). Categories (topical): Linear algebra, Mathematical analysis, One, Shapes Hypernyms: vector Hyponyms: direction vector Meronyms: direction cosine Related terms: unit sphere, ◌̂ Translations (vector with length 1): مُتَّجِهٌ وَحْدَةَ (muttajihun waḥdata) [masculine] (Arabic), jednotkový vektor (Czech), enhedsvektor [common-gender] (Danish), yksikkövektori (Finnish), vecteur unité [masculine] (French), vecteur unitaire [masculine] (French), Einheitsvektor [masculine] (German), egységvektor (Hungarian), enhetsvektor [masculine] (Norwegian Bokmål), einingsvektor [masculine] (Norwegian Nynorsk), versor [masculine] (Portuguese), vetor unitário [masculine] (Portuguese), vector unitario [masculine] (Spanish), enhetsvektor [common-gender] (Swedish), เวกเตอร์หนึ่งหน่วย (vék-dtə̂ə-nʉ̀ng-nùai) (Thai), birim vektör (Turkish)

Inflected forms

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      "form": "unit vectors",
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          "name": "Linear algebra",
          "orig": "en:Linear algebra",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Shapes",
          "orig": "en:Shapes",
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            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
      "hypernyms": [
        {
          "word": "vector"
        }
      ],
      "hyponyms": [
        {
          "word": "direction vector"
        }
      ],
      "id": "en-unit_vector-en-noun-UxUZ3AS5",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "vector",
          "vector"
        ]
      ],
      "meronyms": [
        {
          "word": "direction cosine"
        }
      ],
      "raw_glosses": [
        "(linear algebra, mathematical analysis) A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
      "related": [
        {
          "word": "unit sphere"
        },
        {
          "word": "◌̂"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ar",
          "lang": "Arabic",
          "roman": "muttajihun waḥdata",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "مُتَّجِهٌ وَحْدَةَ"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "vector with length 1",
          "word": "jednotkový vektor"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "vector with length 1",
          "tags": [
            "common-gender"
          ],
          "word": "enhedsvektor"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "vector with length 1",
          "word": "yksikkövektori"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vecteur unité"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vecteur unitaire"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "Einheitsvektor"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "vector with length 1",
          "word": "egységvektor"
        },
        {
          "code": "nb",
          "lang": "Norwegian Bokmål",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "enhetsvektor"
        },
        {
          "code": "nn",
          "lang": "Norwegian Nynorsk",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "einingsvektor"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "versor"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vetor unitário"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vector unitario"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "vector with length 1",
          "tags": [
            "common-gender"
          ],
          "word": "enhetsvektor"
        },
        {
          "code": "th",
          "lang": "Thai",
          "roman": "vék-dtə̂ə-nʉ̀ng-nùai",
          "sense": "vector with length 1",
          "word": "เวกเตอร์หนึ่งหน่วย"
        },
        {
          "code": "tr",
          "lang": "Turkish",
          "sense": "vector with length 1",
          "word": "birim vektör"
        }
      ]
    }
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  "word": "unit vector"
}
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      "word": "direction vector"
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  "lang_code": "en",
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      "word": "direction cosine"
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      "word": "unit sphere"
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        "A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
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          "linear algebra"
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        "(linear algebra, mathematical analysis) A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
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        "linear-algebra",
        "mathematical-analysis",
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    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "muttajihun waḥdata",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "مُتَّجِهٌ وَحْدَةَ"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "vector with length 1",
      "word": "jednotkový vektor"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "vector with length 1",
      "tags": [
        "common-gender"
      ],
      "word": "enhedsvektor"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "vector with length 1",
      "word": "yksikkövektori"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vecteur unité"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vecteur unitaire"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "Einheitsvektor"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "vector with length 1",
      "word": "egységvektor"
    },
    {
      "code": "nb",
      "lang": "Norwegian Bokmål",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "enhetsvektor"
    },
    {
      "code": "nn",
      "lang": "Norwegian Nynorsk",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "einingsvektor"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "versor"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vetor unitário"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vector unitario"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "vector with length 1",
      "tags": [
        "common-gender"
      ],
      "word": "enhetsvektor"
    },
    {
      "code": "th",
      "lang": "Thai",
      "roman": "vék-dtə̂ə-nʉ̀ng-nùai",
      "sense": "vector with length 1",
      "word": "เวกเตอร์หนึ่งหน่วย"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "vector with length 1",
      "word": "birim vektör"
    }
  ],
  "word": "unit vector"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.