"quasiregular" meaning in English

See quasiregular in All languages combined, or Wiktionary

Adjective

Etymology: quasi- + regular Etymology templates: {{prefix|en|quasi|regular}} quasi- + regular Head templates: {{en-adj|-}} quasiregular (not comparable)
  1. Having some regular characteristics. Tags: not-comparable
    Sense id: en-quasiregular-en-adj-S05exn7C Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, Tesselation Disambiguation of English entries with incorrect language header: 22 6 27 15 29 Disambiguation of English entries with topic categories using raw markup: 23 10 23 18 25 Disambiguation of Tesselation: 29 4 25 18 23
  2. (geometry, of a polyhedron or tessellation) That is semiregular with regular faces of precisely two types that alternate around each vertex. Tags: not-comparable Categories (topical): Geometry
    Sense id: en-quasiregular-en-adj-ozYf8~6R Categories (other): English entries with topic categories using raw markup Disambiguation of English entries with topic categories using raw markup: 23 10 23 18 25 Topics: geometry, mathematics, sciences
  3. (mathematics, ring theory, of an element r of a ring) Such that 1 − r is a unit (has a multiplicative inverse). Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-quasiregular-en-adj-NgflO2y9 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, Tesselation Disambiguation of English entries with incorrect language header: 22 6 27 15 29 Disambiguation of English entries with topic categories using raw markup: 23 10 23 18 25 Disambiguation of Tesselation: 29 4 25 18 23 Topics: mathematics, sciences
  4. (mathematics, mathematical analysis, of a mapping from a multi-dimensional space or manifold to an equivalent space) Having certain properties in common with holomorphic functions of a single complex variable. Tags: not-comparable Categories (topical): Mathematical analysis, Mathematics
    Sense id: en-quasiregular-en-adj-4DT6dsQX Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, Tesselation Disambiguation of English entries with incorrect language header: 22 6 27 15 29 Disambiguation of English entries with topic categories using raw markup: 23 10 23 18 25 Disambiguation of Tesselation: 29 4 25 18 23 Topics: mathematical-analysis, mathematics, sciences
  5. (mathematics, representation theory, topological algebra, of a representation) That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-quasiregular-en-adj-gIhB28dU Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms prefixed with quasi-, Tesselation Disambiguation of English entries with incorrect language header: 22 6 27 15 29 Disambiguation of English entries with topic categories using raw markup: 23 10 23 18 25 Disambiguation of English terms prefixed with quasi-: 23 9 20 19 29 Disambiguation of Tesselation: 29 4 25 18 23 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Related terms: quasi-inverse, quasiregularity, quasiconformal

Download JSON data for quasiregular meaning in English (11.5kB)

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          "text": "in the fundamental affine space H = G/Z is called quasiregular."
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      ],
      "glosses": [
        "Having certain properties in common with holomorphic functions of a single complex variable."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "holomorphic",
          "holomorphic"
        ],
        [
          "complex",
          "complex"
        ]
      ],
      "raw_glosses": [
        "(mathematics, mathematical analysis, of a mapping from a multi-dimensional space or manifold to an equivalent space) Having certain properties in common with holomorphic functions of a single complex variable."
      ],
      "raw_tags": [
        "of a mapping from a multi-dimensional space or manifold to an equivalent space"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1988, I. M. Gelfand, M. I. Graev, 3: Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry, Izrail M. Gelfand, Collected Papers, Volume II, page 357, We first decompose the quasiregular representations of a complex semi-simple Lie group into irreducible ones. A representation of the group G given by the formula T_g𝑓(h) = 𝑓(hg)",
          "text": "in the fundamental affine space H = G/Z is called quasiregular."
        },
        {
          "text": "1998, Vladimir F. Molchanov, Discrete series and analyticity, Joachim Hilgert, Jimmie D. Lawson, Karl-Hermann Leeb, Ernest B. Vinberg (editors), Positivity in Lie Theory: Open Problems,De Gruyter Expositions in Mathematics, Volume 26, page 188,\nAs it is known (see [11], [13], [21], [22]), the quasiregular representation on the hyperboloid decomposes into two series of irreducible unitary representations: continuous and discrete."
        },
        {
          "text": "2008, André Unterberger, Alternative Pseudodifferential Analysis: With an Application to Modular Forms, Springer, Lecture Notes in Mathematics, Volume 1935, page 6,\nNote that the representation Met⁽²⁾, contrary to the quasiregular representation of the same group, does not act by changes of coordinates only […] ."
        }
      ],
      "glosses": [
        "That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "qualifier": "representation theory; topological algebra; representation theory; topological algebra",
      "raw_glosses": [
        "(mathematics, representation theory, topological algebra, of a representation) That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure."
      ],
      "raw_tags": [
        "of a representation"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "Quasiregular"
  ],
  "word": "quasiregular"
}

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