See hyperellipse on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "hyper", "3": "ellipse" }, "expansion": "hyper- + ellipse", "name": "prefix" } ], "etymology_text": "From hyper- + ellipse.", "forms": [ { "form": "hyperellipses", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "hyperellipse (plural hyperellipses)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Curves", "orig": "en:Curves", "parents": [ "Shapes", "Geometry", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Geometry", "orig": "en:Geometry", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "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": [ [ "geometry", "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" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Geometry", "orig": "en:Geometry", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "22 69 9", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "27 52 22", "kind": "other", "name": "English terms prefixed with hyper-", "parents": [], "source": "w+disamb" }, { "_dis": "17 76 7", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "20 76 4", "kind": "other", "name": "Pages with entries", "parents": [], "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": [ [ "geometry", "geometry" ] ], "raw_glosses": [ "(geometry) Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two)." ], "topics": [ "geometry", "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Geometry", "orig": "en:Geometry", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "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", "links": [ [ "geometry", "geometry" ], [ "manifold", "manifold" ], [ "ellipsoid", "ellipsoid" ] ], "raw_glosses": [ "(geometry) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid." ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "hyperellipse" }
{ "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with hyper-", "Pages with 1 entry", "Pages with entries" ], "etymology_templates": [ { "args": { "1": "en", "2": "hyper", "3": "ellipse" }, "expansion": "hyper- + ellipse", "name": "prefix" } ], "etymology_text": "From hyper- + ellipse.", "forms": [ { "form": "hyperellipses", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "hyperellipse (plural hyperellipses)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "en:Curves", "en:Geometry" ], "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." ], "links": [ [ "geometry", "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" ] }, { "categories": [ "en:Geometry" ], "glosses": [ "Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two)." ], "links": [ [ "geometry", "geometry" ] ], "raw_glosses": [ "(geometry) Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two)." ], "topics": [ "geometry", "mathematics", "sciences" ] }, { "categories": [ "English terms with quotations", "en:Geometry" ], "examples": [ { "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." ], "links": [ [ "geometry", "geometry" ], [ "manifold", "manifold" ], [ "ellipsoid", "ellipsoid" ] ], "raw_glosses": [ "(geometry) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid." ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "hyperellipse" }
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