"orthant" meaning in All languages combined

See orthant on Wiktionary

Noun [English]

Forms: orthants [plural]
Head templates: {{en-noun}} orthant (plural orthants)
  1. (geometry) A n-dimensional generalization of the quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space). Wikipedia link: orthant Categories (topical): Geometry Synonyms: hyperoctant

Inflected forms

Download JSON data for orthant meaning in All languages combined (1.7kB)

{
  "forms": [
    {
      "form": "orthants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "orthant (plural orthants)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "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"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with orth-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1992, Hal R. Varian, Microeconomic Analysis (3rd ed.), Norton, p. 114",
          "text": "Consider preferences defined over the nonnegative orthant by (x_1,x_2)≻(y_1,y_2) if x_1+x_2<y_1+y_2 […]"
        }
      ],
      "glosses": [
        "A n-dimensional generalization of the quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space)."
      ],
      "id": "en-orthant-en-noun-~MVZaTOy",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "dimensional",
          "dimensional"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "quadrant",
          "quadrant"
        ],
        [
          "Cartesian",
          "Cartesian"
        ],
        [
          "octant",
          "octant"
        ]
      ],
      "raw_glosses": [
        "(geometry) A n-dimensional generalization of the quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space)."
      ],
      "synonyms": [
        {
          "word": "hyperoctant"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "orthant"
      ]
    }
  ],
  "word": "orthant"
}
{
  "forms": [
    {
      "form": "orthants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "orthant (plural orthants)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English lemmas",
        "English nouns",
        "English terms prefixed with orth-",
        "en:Geometry"
      ],
      "examples": [
        {
          "ref": "1992, Hal R. Varian, Microeconomic Analysis (3rd ed.), Norton, p. 114",
          "text": "Consider preferences defined over the nonnegative orthant by (x_1,x_2)≻(y_1,y_2) if x_1+x_2<y_1+y_2 […]"
        }
      ],
      "glosses": [
        "A n-dimensional generalization of the quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space)."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "dimensional",
          "dimensional"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "quadrant",
          "quadrant"
        ],
        [
          "Cartesian",
          "Cartesian"
        ],
        [
          "octant",
          "octant"
        ]
      ],
      "raw_glosses": [
        "(geometry) A n-dimensional generalization of the quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space)."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "orthant"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "hyperoctant"
    }
  ],
  "word": "orthant"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-25 from the enwiktionary dump dated 2024-05-02 using wiktextract (bb24e0f and c7ea76d). 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.