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A measurable space equipped with a countably additive measure.
wp-measure-spacenlab-measure-spacetao-measure-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Choose a countably additive measure.
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.
wp-measure-spacetao-measure-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Supply the measure.
Feed several structures into a construction junction and impose compatibility between them.
wp-radontao-measure-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
A measure space supplies the measure against which measurable functions are integrated; changing that measure generally changes both integrability and the resulting value.
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.
tao-measure-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Restrict to measures with ; this is a property, not an instruction to rescale an arbitrary measure.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-probabilitytao-measure-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Require a countable cover by finite-measure sets.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-sigma-finitetao-measure-theory