covariant
Changing together mathematically
Covariant describes something that changes in a coordinated way with something else.
In statistics and mathematics, covariant variables move together systematically.
In programming, covariance allows a type to be substituted with a more specific subtype: The return type is covariant, so the method can return a Dog where Animal was declared.
In physics, covariant equations maintain their form under coordinate transformations.
Multilinear algebraic object
- indexAlphabetical guide to contents
- componentElement of a system
- vectorQuantity with direction
- differentialRelative difference between things
coordinate · transformation · basis · dual · metric · contraction · rank · tangent
Study of spatial phenomena
- symmetryInvariance under transformation
- actionProcess of doing
- conservationPreventing waste or loss
- quantumSmallest discrete unit
general relativity · manifold · cosmological · gravitational · electromagnetic · standard model · particle · interaction
A class of things
- diagramSimplified explanatory sketch
- commutativeOrder of terms irrelevant
- arrowPointed shaft for shooting
- objectTangible entity or aim
representable · limit · adjoint · equivalence · isomorphism · mapping · composition
A joining or relation
- parallel transportVector movement preserving covariant derivative
- geodesicShortest curved-surface path
- curvatureDeviation from flatness
- affineRelative by marriage
torsion · gauge · principal · associated · horizontal · vertical · section · differentiation
Byword for genius
- LorentzElectromagnetic theory developer
- spacetimeMerged dimensional framework
- frameSupporting outer structure
- referenceDirecting attention elsewhere
relativistic · electrodynamics · proper · observer · inertial · boost · causal · simultaneity
tensor
Multilinear algebraic object
differential · coordinate · transformation · basis · dual · metric · contraction · rank · tangent · cotangent
field theory
Study of spatial phenomena
- symmetryInvariance under transformation
- actionProcess of doing
- conservationPreventing waste or loss
quantum · general relativity · manifold · cosmological · gravitational · electromagnetic · standard model · particle · interaction
category
A class of things
- diagramSimplified explanatory sketch
- commutativeOrder of terms irrelevant
- arrowPointed shaft for shooting
object · representable · limit · adjoint · equivalence · isomorphism · mapping · composition
connection
A joining or relation
- parallel transportVector movement preserving covariant derivative
- geodesicShortest curved-surface path
- curvatureDeviation from flatness
affine · torsion · gauge · principal · associated · horizontal · vertical · section · differentiation · geometric
Einstein
Byword for genius
- LorentzElectromagnetic theory developer
- spacetimeMerged dimensional framework
- frameSupporting outer structure
reference · relativistic · electrodynamics · proper · observer · inertial · boost · causal · simultaneity · time dilation
covariantinvariant
Remaining always constant
invariable · constant · unchanged · absolute · unchanging
- covariant derivativeGeneralized derivative on manifolds