invariantUnder
P4235
predicate
Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.
Aliases (12)
- symmetry ×15
- hasSymmetryGroup ×4
- isScalarInvariantUnder ×2
- metricPreserved ×2
- symmetryConstraint ×2
- isInvariant ×1
- isInvariantUnder ×1
- isTimeReversalInvariant ×1
- isTranslationInvariant ×1
- preservesBoundedness ×1
- preservesClosedness ×1
- preservesConvexity ×1
Sample triples (37)
| Subject | Object |
|---|---|
| Annelida | bilateral ("symmetry") → |
| Anthozoa | radial symmetry ("symmetry") → |
| Arachnida | bilateral symmetry ("symmetry") → |
| Asymmetron | bilateral symmetry ("symmetry") → |
| CDF detector | approximately cylindrical ("symmetry") → |
| Chordata | bilateral symmetry ("symmetry") → |
| Deuterostomia | bilateral symmetry in early development ("symmetry") → |
| DØ detector | nearly hermetic ("symmetry") → |
| Echinodermata | radial symmetry in adults ("symmetry") → |
| Einstein field equations | general coordinate transformations → |
| Euclidean space | Euclidean group ("hasSymmetryGroup") → |
| Galilean relativity | Galilean group ("hasSymmetryGroup") → |
| Hydrozoa | radial symmetry ("symmetry") → |
| Janet–Cartan theorem | Riemannian distance locally ("metricPreserved") → |
| Janet–Cartan theorem | inner products of tangent vectors ("metricPreserved") → |
| Kretschmann scalar | Lorentz transformations ("isScalarInvariantUnder") → |
| Kretschmann scalar | general coordinate transformations ("isScalarInvariantUnder") → |
| Minkowski functional | scaling of the defining set by positive constants up to equivalence → |
| Minkowski space-time | Poincaré group ("hasSymmetryGroup") → |
| Minkowski sum | true ("preservesConvexity") → |
| Minkowski sum | true ("preservesClosedness") → |
| Minkowski sum | true ("preservesBoundedness") → |
| Minkowski sum | true ("isTranslationInvariant") → |
| Myriapoda | bilateral symmetry ("symmetry") → |
| Pacific-Antarctic Ridge | magnetic stripe anomalies on seafloor ("symmetry") → |
| Planck constant | Lorentz invariant ("isInvariant") → |
| Ricci flow | diffeomorphisms → |
| Ricci flow | pullback by diffeomorphisms → |
| Ricci scalar | diffeomorphisms ("isInvariantUnder") → |
| S-matrix | Poincaré invariance ("symmetryConstraint") → |
| S-matrix | internal symmetries of the theory ("symmetryConstraint") → |
| Shannon entropy | relabeling of outcomes → |
| Steinmetz solid | invariant under 90-degree rotations exchanging cylinder axes ("symmetry") → |
| Steinmetz solid | symmetric with respect to coordinate planes containing cylinder axes ("symmetry") → |
| Thaliacea | bilateral symmetry ("symmetry") → |
| de Sitter spacetime | SO(1,4) ("hasSymmetryGroup") → |
| de Sitter spacetime | true ("isTimeReversalInvariant") → |