# invariant

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## in·var·i·ant

(ĭn-vâr′ē-ənt)
1. Not varying; constant.
2. Mathematics Unaffected by a designated operation, as a transformation of coordinates.
n.
An invariant quantity, function, configuration, or system.

## invariant

(ɪnˈvɛərɪənt)
n
(Mathematics) maths an entity, quantity, etc, that is unaltered by a particular transformation of coordinates: a point in space, rather than its coordinates, is an invariant.
1. (Mathematics) maths (of a relationship or a property of a function, configuration, or equation) unaltered by a particular transformation of coordinates
2. a rare word for invariable
inˈvariance, inˈvariancy n

## in•var•i•ant

(ɪnˈvɛər i ənt)

1. invariable; constant.
n.
2. a mathematical quantity or expression that is constant throughout a certain range of conditions.
[1850–55]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 invariant - a feature (quantity or property or function) that remains unchanged when a particular transformation is applied to itcharacteristic, feature - a prominent attribute or aspect of something; "the map showed roads and other features"; "generosity is one of his best characteristics"math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement Adj. 1 invariant - unaffected by a designated operation or transformationmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementinvariable - not liable to or capable of change; "an invariable temperature"; "an invariable rule"; "his invariable courtesy" 2 invariant - unvarying in nature; "maintained a constant temperature"; "principles of unvarying validity"invariable - not liable to or capable of change; "an invariable temperature"; "an invariable rule"; "his invariable courtesy"

## invariant

Having no change or variation:
Translations
invariantinvariantní
invariantti
invariant

## invariant

n (Math) → Konstante f

## invariant

[ɪnˈvɛərɪənt] adj (Math) → invariante f
References in periodicals archive ?
Songlin, "Closed orbits and straight line invariants in E3 systems," Acta Mathematica Sci, vol.
Let us write down the Schrodinger invariants (essentially related to potentials) based on (19), (20), (21), (22), and (23).
The purpose of this note is to give a formula of the hyperbolic volume of a knot complement using twisted Alexander invariants.
Inspired by this, the Gabor phase features are extracted as illumination invariants in this paper.
In the direct approach classical reduction is performed via differential invariants and canonical variables and so forth, while in the indirect approach equations are classified via their admitted Lie algebras in prescribed number of underlying variables with corresponding set of structure constants.
Now we characterize large submodules in terms of Ulm invariants.
As for features selection, low-order shifted moment with TRS-invariant (invariant to 2D translation, 2D rotation and scale) properties were proposed (Tahri, 2015), Spherical invariants to rotational motions based on unified projection model were proposed (Fomena, 2011), and hybrid projected features was proposed to decouple the translational and rotational motions (Ye, 2015).
Assertions in this paper are based on program invariants [16], which are properties that are true at a particular program point or points.
The topological study is based on an analysis of the invariants of the velocity gradient tensor (VGT), which is inherently interesting and significant in the flow dynamics and mechanisms.
Chen, "A comparative study of Fourier descriptors and Hu's seven moment invariants for image recognition," Electrical and Computer Engineering, vol.
Hilbert's thesis topic was on Invariant Theory (1885) and he has several other papers in invariant theory [32], [33] all concerning invariants of forms, binary forms or n-forms of order m and forms are polynomials.

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