invariantUnder

P4235
predicate

Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.

Try in SPARQL

All labels observed (31)

Label Occurrences
symmetry 110
invariantUnder canonical 107
isInvariantUnder 36

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: invariantUnder
Generated description
Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.

Sample triples (312)

Subject Object
Witten index continuous deformations of parameters ⓘ
Witten index renormalization group flow ⓘ
Weil pairing isogenies of elliptic curves up to compatibility ⓘ
Hadamard fractional integral multiplicative scaling of the variable ⓘ
Clebsch diagonal surfaces
surface form: Clebsch diagonal surface
S5 via predicate surface "hasSymmetryGroup" ⓘ
Clebsch–Aronhold invariants SL(2) action on binary quartic forms ⓘ
Clebsch–Aronhold invariants change of homogeneous coordinates on the projective line ⓘ
Dehn invariant rigid motions of ℝ³ ⓘ
Dehn invariant isometries of Euclidean 3-space ⓘ
Lambert azimuthal equal-area projection azimuthally symmetric via predicate surface "symmetry" ⓘ
Lebesgue measure true via predicate surface "isTranslationInvariant" ⓘ
Lebesgue measure true via predicate surface "isRotationInvariant" ⓘ
Lebesgue measure translations in R^n via predicate surface "isInvariantUnder" ⓘ
Lebesgue measure orthogonal transformations in R^n via predicate surface "isInvariantUnder" ⓘ
Whitney sum true via predicate surface "preservesSmoothStructure" ⓘ
Einstein–Hilbert action diffeomorphisms ⓘ
Weyl tensor in dimension 4 via predicate surface "isConformallyInvariant" ⓘ
Plücker coordinates projective transformations ⓘ
Plücker coordinates change of basis in the underlying vector space ⓘ
El Misti nearly symmetrical cone via predicate surface "symmetry" ⓘ
Tukey's lambda distribution symmetric about location parameter via predicate surface "symmetry" ⓘ
Einstein–Yang–Mills equations diffeomorphism invariance via predicate surface "symmetry" ⓘ
Einstein–Yang–Mills equations local gauge invariance via predicate surface "symmetry" ⓘ
D0 nearly hermetic detector coverage via predicate surface "symmetry" ⓘ
Minkowski metric η_{μν} Poincaré group via predicate surface "invarianceGroup" ⓘ
Minkowski metric η_{μν} Lorentz transformation via predicate surface "isInvariantUnder" ⓘ
surface form: Lorentz transformations
Minkowski metric η_{μν} spacetime translations via predicate surface "isInvariantUnder" ⓘ
Epipona bilateral symmetry via predicate surface "symmetry" ⓘ
Parapolybia bilateral symmetry via predicate surface "symmetry" ⓘ
Todd class holomorphic isomorphisms via predicate surface "isInvariantUnder" ⓘ
Branchiobdellida bilateral symmetry via predicate surface "symmetry" ⓘ
Chaetognatha bilateral symmetry via predicate surface "symmetry" ⓘ
Laplacian spectrum isometries of the manifold ⓘ
Laplacian spectrum Riemannian isometries ⓘ
Entoprocta bilateral symmetry (adult often secondarily asymmetrical) via predicate surface "symmetry" ⓘ
Rhabditidae bilateral symmetry via predicate surface "symmetry" ⓘ
Onchocercidae bilateral symmetry via predicate surface "symmetry" ⓘ
Stauromedusae radial symmetry via predicate surface "symmetry" ⓘ
Obelia radial symmetry via predicate surface "symmetry" ⓘ
Aequorea victoria radial symmetry via predicate surface "symmetry" ⓘ
Trachylinae radial symmetry via predicate surface "symmetry" ⓘ
Medusozoa radial symmetry via predicate surface "symmetry" ⓘ
Meganyctiphanes norvegica bilateral symmetry via predicate surface "symmetry" ⓘ
Hydra radial symmetry via predicate surface "symmetry" ⓘ
Chrysaora quinquecirrha radial symmetry via predicate surface "symmetry" ⓘ
Banach–Mazur distance linear isomorphisms via predicate surface "isInvariantUnder" ⓘ
Banach limit L((x_{n+1}))=L((x_n)) via predicate surface "shiftInvariance" ⓘ
Banach limit translation invariance on index set ℕ via predicate surface "invarianceProperty" ⓘ
Banach limit finite permutations of coordinates of a sequence (for some constructions) ⓘ
Remipedia bilateral symmetry via predicate surface "symmetry" ⓘ