"hypersimplex" meaning in All languages combined

See hypersimplex on Wiktionary

Noun [English]

Forms: hypersimplexes [plural], hypersimplices [plural]
Etymology: From hyper- + simplex. Etymology templates: {{prefix|en|hyper|simplex}} hyper- + simplex Head templates: {{en-noun|+|hypersimplices}} hypersimplex (plural hypersimplexes or hypersimplices)
  1. (mathematics) A kind of convex polytope that generalizes the simplex, defined as the convex hull of a d-dimensional vector whose coefficients consist of k ones and d−k zeros. Wikipedia link: hypersimplex Categories (topical): Mathematics
    Sense id: en-hypersimplex-en-noun-cQLalXMm Categories (other): English entries with incorrect language header, English terms prefixed with hyper-, Pages with 1 entry Topics: mathematics, sciences

Inflected forms

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  ],
  "etymology_text": "From hyper- + simplex.",
  "forms": [
    {
      "form": "hypersimplexes",
      "tags": [
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    },
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      "form": "hypersimplices",
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  "senses": [
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      ],
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        "A kind of convex polytope that generalizes the simplex, defined as the convex hull of a d-dimensional vector whose coefficients consist of k ones and d−k zeros."
      ],
      "id": "en-hypersimplex-en-noun-cQLalXMm",
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        ],
        [
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          "polytope"
        ],
        [
          "generalize",
          "generalize"
        ],
        [
          "simplex",
          "simplex"
        ],
        [
          "convex hull",
          "convex hull"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "coefficient",
          "coefficient"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A kind of convex polytope that generalizes the simplex, defined as the convex hull of a d-dimensional vector whose coefficients consist of k ones and d−k zeros."
      ],
      "topics": [
        "mathematics",
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  ],
  "etymology_text": "From hyper- + simplex.",
  "forms": [
    {
      "form": "hypersimplexes",
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    },
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        "A kind of convex polytope that generalizes the simplex, defined as the convex hull of a d-dimensional vector whose coefficients consist of k ones and d−k zeros."
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          "mathematics",
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        [
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        ],
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          "polytope",
          "polytope"
        ],
        [
          "generalize",
          "generalize"
        ],
        [
          "simplex",
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        ],
        [
          "convex hull",
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        ],
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          "vector",
          "vector"
        ],
        [
          "coefficient",
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        ]
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}

Download raw JSONL data for hypersimplex meaning in All languages combined (1.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.