invariant

English

Etymology

Etymology tree

Proto-Indo-European *né

Proto-Indo-European *n̥-

Proto-Italic *n̥-

Latin in-bor.

Middle English in-

English in-

English variant

English invariant

From in- + variant.

Pronunciation

• Audio (US):

  (file)

• Audio (US):

  (file)

Adjective

invariant (comparative more invariant, superlative most invariant)

1. Not varying; constant.

   Synonym: invariable

2. (mathematics) Unaffected by a specified operation, especially by a transformation.
   • 2015, A. Rod Gover, Vladimir S. Matveev, “Projectively related metrics, Weyl nullity, and metric projectively invariant equations”, in arXiv‎^[1]:

     The fundamental 2-tensor also leads to a new class of invariant linear differential operators that are canonically associated to these geometries; included is a third equation studied by Gallot et al. We apply the results to study the metrisability equation, in the nullity setting described.

3. (programming) Neither covariant nor contravariant.

Derived terms

• antiinvariant
• biinvariant
• class invariant
• hyperinvariant
• invariantism
• invariantist
• invariantly
• knot invariant
• linear time-invariant
• noninvariant
• peninvariant
• superinvariant

Related terms

• invariance
• variant
• variegate
• various
• vary

Translations

that does not vary

• Czech: neměnný (cs), konstantní (cs)
• Dutch: onveranderlijk (nl)
• Finnish: muuttumaton (fi)
• German: unveränderlich (de)
• Icelandic: óbreyttur (is)
• Irish: do-athraitheach
• Italian: invariantivo (it)
• Polish: niezmienny (pl)
• Portuguese: invariante, constante (pt)
• Romanian: constant (ro), invariabil (ro), invariant (ro)
• Swedish: oföränderlig (sv)
• Turkish: değişmez (tr), sabit (tr)

that is not affected by a specified operation

• Czech: invariantní
• Finnish: invariantti (fi)
• French: invariant (fr), invariant (fr) m
• German: invariant (de)
• Hindi: निश्चर (hi) (niścar)
• Icelandic: óbreyttur (is)
• Polish: niezmienniczy
• Portuguese: invariante
• Romanian: constant (ro)
• Swedish: invariant (sv)
• Turkish: sabit (tr)´

The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.

Translations to be checked

• French: ^{(please verify)} invariant (fr)
• German: ^{(please verify)} unveränderlich (de)

Noun

invariant (plural invariants)

1. An invariant quantity, function etc.
   • 2015, Ruslan Sharipov, “On positive bivariate quartic forms”, in arXiv‎^[2]:

     In the present paper this criterion is reformulated in terms of pseudotensorial invariants of the form..

2. (programming) Ellipsis of class invariant.

Derived terms

• coinvariant
• Donaldson-Thomas invariant
• Gromov-Witten invariant
• Hopf invariant
• invariant noun
• invariant section
• invariant theory
• loop invariant
• Lorentz invariant
• quasi-invariant
• semi-invariant
• time-invariant
• Zeuthen-Segre invariant

Translations

invariant quantity, function etc.

• Czech: invariant m
• Icelandic: óbreyta f
• Kazakh: инвариант (ıynvarıyant)
• Polish: niezmiennik (pl) m
• Portuguese: invariante m or f
• Romanian: invariant (ro) m or n
• Swedish: invariant (sv)

Czech

Pronunciation

• IPA^(key): [ˈɪnvarɪjant]

Noun

invariant m inan

1. (mathematics, informatics) invariant

Declension

Declension of invariant (hard masculine inanimate)

	singular	plural
nominative	invariant	invarianty
genitive	invariantu	invariantů
dative	invariantu	invariantům
accusative	invariant	invarianty
vocative	invariante	invarianty
locative	invariantu	invariantech
instrumental	invariantem	invarianty

French

Pronunciation

• IPA^(key): /ɛ̃.va.ʁjɑ̃/

• Audio (France (Lyon)):

  (file)

Adjective

invariant (feminine invariante, masculine plural invariants, feminine plural invariantes)

1. invariable

   Synonym: invariable

Noun

invariant m (plural invariants)

1. (physics, mathematics) invariable

Related terms

• variant

Further reading

• “invariant”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012

Romanian

Etymology

Borrowed from French invariant. Equivalent to in- +‎ variant.

Noun

invariant m (plural invarianți)

1. invariant

Declension

	singular		plural
	indefinite	definite	indefinite	definite
nominative-accusative	invariant	invariantul	invarianți	invarianții
genitive-dative	invariant	invariantului	invarianți	invarianților
vocative	invariantule		invarianților