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A total single-valued relation from a domain set to a codomain set.
wp-functionnlab-functionopenlogic-set-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Specialize to a relation that is total and single-valued in ; this is exactly a function .
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-functionnlab-functionopenlogic-set-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Calculus of variations studies functionals on spaces of functions, curves, or fields.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
wp-functionnlab-functionopenlogic-set-theorywp-calculus_of_variationsnlab-calculus_of_variationscambridge-classical-dynamicstong-qftThis is an authored directed relation from the source endpoint to the target endpoint.
An indexed family is a function whose domain is treated as an index set.
Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.
wp-indexed-familyopenlogic-set-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Supply the function whose domain and codomain are equipped with the two topologies.
Feed several structures into a construction junction and impose compatibility between them.
wp-continuous-functionnlab-continuous-maptopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Supply the map from total space to base space.
Feed several structures into a construction junction and impose compatibility between them.
wp-covering-spacenlab-covering-spacetopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Supply the function whose domain and codomain receive the normed-vector-space structures used for differentiation.
Feed several structures into a construction junction and impose compatibility between them.
wp-differentiable-functionnlab-differentiable-mapThis is an authored directed relation from the source endpoint to the target endpoint.
Supply the map from total space to base space.
Feed several structures into a construction junction and impose compatibility between them.
wp-fiber-bundlenlab-fiber-bundletopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Supply the map between the underlying sets.
Feed several structures into a construction junction and impose compatibility between them.
wp-measurable-functiontao-measure-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Restrict a function by requiring . The resulting endofunction can be iterated, whereas an arbitrary function with different domain and codomain cannot be composed with itself.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-functionwp-math-dynamical-systemmit-ocw-nonlinear-dynamics