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gage-invariant tensor - translation to russian

MATHEMATICAL STUDY OF INVARIANTS UNDER SYMMETRIES

Theory of invariants; Algebraic invariant; Invariant tensor; Absolute invariant; Multilinear invariant

gage-invariant tensor

математика

калибровочно-инвариантный тензор

invariant set

$operation]] denoted by <math>\circ</math> is the [[function composition]].$

PROPERTY OF MATHEMATICAL OBJECTS THAT REMAINS UNCHANGED FOR TRANSFORMATIONS APPLIED TO THE OBJECTS

Invariant (computer science); Invariance (mathematics); Coordinate system invariant; Invariant set; Coordinate invariance; Coordinate system invariance; Programming invariant

математика

инвариантное множество

tensor density

GENERALIZATION OF TENSOR FIELDS

Relative tensor; Tensor densities; Vector density

математика

тензорная плотность

Definition

gage

gage¹ [ge?d?]

archaic

¦ noun

1. a valued object deposited as a guarantee of good faith.

2. a pledge, especially a glove, thrown down as a challenge to fight.

¦ verb offer as a gage.

Origin

ME: from OFr. gage (n.), gager (v.), of Gmc origin; related to wage and wed.

--------

gage²

¦ noun & verb US spelling of gauge.

--------

gage³ [ge?d?]

¦ noun another term for greengage.

Origin

C19: after the English botanist Sir William Gage.

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Wikipedia

Invariant theory

Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit description of polynomial functions that do not change, or are invariant, under the transformations from a given linear group. For example, if we consider the action of the special linear group SL_n on the space of n by n matrices by left multiplication, then the determinant is an invariant of this action because the determinant of A X equals the determinant of X, when A is in SL_n.

https://en.wikipedia.org/wiki/Invariant theory

What is the Russian for gage-invariant tensor? Translation of &#39gage-invariant tensor&#39 to Russi