Definition, Betydelse & Synonymer | Engelska ordet DIFFERENTIABILITY

Definition av DIFFERENTIABILITY

1. (matematik) deriverbarhet, differentierbarhet

Exempel på hur man kan använda DIFFERENTIABILITY i en mening

• Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability.
• In mathematics, a singularity is a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as by lacking differentiability or analyticity.
• Lie's concept of a continuous group of transformations without the assumption of the differentiability of the functions defining the group.
• The technical difficulty of their work is that geodesics in their infinite-dimensional context may have low differentiability.
• Higher Algebra (including certain topics from Linear Algebra), Combinatorics, probability (including topics like conditional probability, Law of total probability, Bayes theorem), Geometry, coordinate system (points and lines, circles, parabolas, ellipses and hyperbolas), Trigonometry (including the inverse trigonometric functions), algebraic functions, exponential functions, logarithmic functions, floor function, fractional part function, signum function, even and odd functions, periodic functions, composite Function, inverse functions, limits, derivative of a function, analysis of continuity and differentiability of a function, derivatives and their applications (tangents and normals to a function, angle between curves, Rolle's theorem, Mean Value Theorem, monotonicity of a function, and maxima and minima of a function), indefinite antiderivative of a function, definite integrals, analysis of area bounded by a curve and its axis, and differential equations.
• In mathematics, the Lévy C curve is a self-similar fractal curve that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and Georg Faber in 1910, but now bears the name of French mathematician Paul Lévy, who was the first to describe its self-similarity properties as well as to provide a geometrical construction showing it as a representative curve in the same class as the Koch curve.
• In most applications, continuous linearity follows from some more primitive condition which is natural to the particular setting, such as imposing complex differentiability in the context of infinite dimensional holomorphy or continuous differentiability in nonlinear analysis.
• Translated in English as "On the differentiability and the analyticity of extremals of regular multiple integrals" in.
• In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen in differential geometry.
• In the presence of convexity, second-order differentiability is achieved by the Alexandrov theorem, the proof of which can be modeled on that of the Rademacher theorem.
• Asplund spaces were introduced in 1968 by the mathematician Edgar Asplund, who was interested in the Fréchet differentiability properties of Lipschitz functions on Banach spaces.
• ; Seo, Aeryeong Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case.

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