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Select any concept, construction junction, or annotated relation by pointer, touch, search, or keyboard.
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This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
math_tensor_bundle_to_tensor_field
Relation type
Add data add-data
Direction
source → target
Endpoint roles
source: Builds toward; target: Built from
Authored annotation
smooth section
Authored explanation
A tensor field is a smooth section of a tensor bundle.
How to interpret this relation type
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
tensorfield_to_gr
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
metric and curvature tensors
Authored explanation
General relativity uses tensor fields on a smooth manifold.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
tensor_to_stress
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
rank-two tensor field
Authored explanation
Stress–energy is represented by a symmetric tensor field.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.