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A smooth section of an exterior-power cotangent bundle; differential forms can be integrated and differentiated by .
A differential -form is alternating and covariant; orientation is not required merely to define forms.
wp-differential_formnlab-differential_formEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Differential forms are smooth sections of exterior powers of the cotangent bundle.
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-differential_formnlab-differential_formEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The exterior derivative organizes differential forms into a cochain complex.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-de_rham_complexnlab-de_rham_complexThis is an authored directed relation from the source endpoint to the target endpoint.
The electromagnetic field strength is represented by a differential two-form .
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.
wp-physics-electromagnetic_fieldnlab-physics-electromagnetic_fieldwp-differential_formnlab-differential_form