"hyperellipse" meaning in All languages combined

See hyperellipse on Wiktionary

Noun [English]

Forms: hyperellipses [plural]
Etymology: From hyper- + ellipse. Etymology templates: {{prefix|en|hyper|ellipse}} hyper- + ellipse Head templates: {{en-noun}} hyperellipse (plural hyperellipses)
  1. (geometry) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse. Categories (topical): Curves, Geometry
    Sense id: en-hyperellipse-en-noun-l4O~mXrt Topics: geometry, mathematics, sciences
  2. (geometry) Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two). Categories (topical): Geometry
    Sense id: en-hyperellipse-en-noun-ZMInwv8u Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms prefixed with hyper-, Pages with 1 entry Disambiguation of English entries with incorrect language header: 22 69 9 Disambiguation of English entries with topic categories using raw markup: 28 59 13 Disambiguation of English terms prefixed with hyper-: 31 48 21 Disambiguation of Pages with 1 entry: 17 76 7 Topics: geometry, mathematics, sciences
  3. (geometry) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid. Categories (topical): Geometry
    Sense id: en-hyperellipse-en-noun-39LFBVAs Topics: geometry, mathematics, sciences

Inflected forms

{
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    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "ellipse"
      },
      "expansion": "hyper- + ellipse",
      "name": "prefix"
    }
  ],
  "etymology_text": "From hyper- + ellipse.",
  "forms": [
    {
      "form": "hyperellipses",
      "tags": [
        "plural"
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  "head_templates": [
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      "expansion": "hyperellipse (plural hyperellipses)",
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      ],
      "examples": [
        {
          "ref": "2003, M. M. Yovanovich and E. E. Marotta, \"Thermal Spreading and Contact Resistances\", chapter 4 of Adrian Bejan and Allan D. Kraus (editors), Heat Transfer Handbook, Wiley-IEEE, page 286",
          "text": "The hyperellipse is defined by (x/a)ⁿ + (y/b)ⁿ = 1 with b ≤ a, where n is the shape parameter and a and b are the axes along the x and y axes, respectively."
        }
      ],
      "glosses": [
        "A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse."
      ],
      "id": "en-hyperellipse-en-noun-l4O~mXrt",
      "links": [
        [
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        [
          "superellipse",
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        ],
        [
          "curve",
          "curve"
        ],
        [
          "ellipse",
          "ellipse"
        ]
      ],
      "raw_glosses": [
        "(geometry) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse."
      ],
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        "geometry",
        "mathematics",
        "sciences"
      ]
    },
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          "_dis": "22 69 9",
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          "_dis": "17 76 7",
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          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two)."
      ],
      "id": "en-hyperellipse-en-noun-ZMInwv8u",
      "links": [
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        "(geometry) Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two)."
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        "geometry",
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        {
          "ref": "2008, Dipankar Dasgupta, Luis Fernando Niño, Immunological Computation: Theory and Applications, CRC Press, →ISBN, page 97:",
          "text": "This algorithm extends the model of RNS by incorporating multiple hypershape (hypersphere, hyperrectangle, or hyperellipse) detector representation in the unit hypercube [0, 1]ⁿ (Balachandran et al., 2007).",
          "type": "quote"
        }
      ],
      "glosses": [
        "A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid."
      ],
      "id": "en-hyperellipse-en-noun-39LFBVAs",
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          "geometry",
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        ],
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        ],
        [
          "ellipsoid",
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        ]
      ],
      "raw_glosses": [
        "(geometry) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid."
      ],
      "topics": [
        "geometry",
        "mathematics",
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      ]
    }
  ],
  "word": "hyperellipse"
}
{
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  "etymology_templates": [
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        "3": "ellipse"
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  ],
  "etymology_text": "From hyper- + ellipse.",
  "forms": [
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      "examples": [
        {
          "ref": "2003, M. M. Yovanovich and E. E. Marotta, \"Thermal Spreading and Contact Resistances\", chapter 4 of Adrian Bejan and Allan D. Kraus (editors), Heat Transfer Handbook, Wiley-IEEE, page 286",
          "text": "The hyperellipse is defined by (x/a)ⁿ + (y/b)ⁿ = 1 with b ≤ a, where n is the shape parameter and a and b are the axes along the x and y axes, respectively."
        }
      ],
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        "A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse."
      ],
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          "geometry"
        ],
        [
          "superellipse",
          "superellipse"
        ],
        [
          "curve",
          "curve"
        ],
        [
          "ellipse",
          "ellipse"
        ]
      ],
      "raw_glosses": [
        "(geometry) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
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        "en:Geometry"
      ],
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        "Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two)."
      ],
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        [
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          "geometry"
        ]
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        "(geometry) Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two)."
      ],
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          "geometry",
          "geometry"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "ellipsoid",
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        ]
      ],
      "raw_glosses": [
        "(geometry) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid."
      ],
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        "geometry",
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  ],
  "word": "hyperellipse"
}

Download raw JSONL data for hyperellipse meaning in All languages combined (2.7kB)


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.