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differentiability's Usage Examples:

differential equations which, together with certain continuity and differentiability criteria, form a necessary and sufficient condition for a complex.

is a self-similar fractal curve that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and Georg Faber.

generalization of Lebesgue"s theorem on the differentiability of the indefinite integral, which is that Φ : [0, T] → R given by Φ ( t ) ∫ 0 t φ ( s ) d.

In mathematics, Kōmura"s theorem is a result on the differentiability of absolutely continuous Banach space-valued functions, and is a substantial generalization.

once on an open set is analytic on that set (see "analyticity and differentiability" below).

by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen.

demonstration that continuity did not imply almost-everywhere differentiability upended mathematics, overturning several proofs that relied on geometric intuition.

— an Asplund space or strong differentiability space is a type of well-behaved Banach space.

In complex analysis, complex-differentiability is defined using the same definition as single-variable real functions.

operators and differentiability (1989), which reported new results and streamlined proofs of earlier results.

the functions f n {\displaystyle f_{n}} , such as continuity, Riemann integrability, and, with additional hypotheses, differentiability, are transferred.