Standard Lemma guide

quasiregular

adj · 5 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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Pronunciation

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1

adj

Meaning 1

Having some regular characteristics.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

That is semiregular with regular faces of precisely two types that alternate around each vertex.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: geometry, mathematics, sciences

Examples

  • 2007, V. A. Blatov, O. Delgado-Friedrichs, M. O'Keeffe, D. M. Proserpio, Periodic nets and tilings: possibilities tor analysis and design of porous materials: Proceedings of the 15th International Zeolite Conference, Ruren Xu, Jiesheng Chen, Zi Gao, Wenfu Yan (editors), From Zeolites to Porous MOF Materials, page 1642, If we allow the coordination figure to be a quasiregular polyhedron (a polyhedron with one kind of vertex and edge, but two kinds of face) there is just one possibility compatible with translational symmetry – a cuboctahedron.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 3

Such that 1 − r is a unit (has a multiplicative inverse).

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Qualifier: ring theory

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

adj

Meaning 4

Having certain properties in common with holomorphic functions of a single complex variable.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematical-analysis, mathematics, sciences

Examples

  • 1999, S. Mueller, Variational models for microstructure and phase transitions, F. Bethuel, G. Huisken, S. Mueller, K. Steffen (editors),Calculus of Variations and Geometric Evolution Problems, Springer, Lecture Notes in Mathematics, Volume 1713, page 108, An alternative proof that features an interesting connection with the theory of quasiconformal (or more precisely quasiregular) maps proceeds as follows.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

adj

Meaning 5

That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Qualifier: representation theory; topological algebra; representation theory; topological algebra

Topics: mathematics, sciences

Examples

  • 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, As 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.
  • 2008, André Unterberger, Alternative Pseudodifferential Analysis: With an Application to Modular Forms, Springer, Lecture Notes in Mathematics, Volume 1935, page 6, Note that the representation Met(2), contrary to the quasiregular representation of the same group, does not act by changes of coordinates only [...] .

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From quasi- + regular.