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continuous differentiability

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  • Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Semi-differentiability — In calculus, a branch of mathematics, the notions of one sided differentiability and semi differentiability of a real valued function f of a real variable are weaker than differentiability. Contents 1 One dimensional case 1.1 Definitions 1.2… …   Wikipedia

  • Strict differentiability — In mathematics, strict differentiability is a modification of the usual notion of differentiability of functions that is particularly suited to p adic analysis. In short, the definition is made more restrictive by allowing both points used in the …   Wikipedia

  • Differentiable function — A differentiable function The absolute value function is not …   Wikipedia

  • Gâteaux derivative — In mathematics, the Gâteaux differential is a generalisation of the concept of directional derivative in differential calculus. Named after René Gâteaux, a French mathematician who died young in World War I, it is defined for functions between… …   Wikipedia

  • Cauchy-Riemann equations — In mathematics, the Cauchy Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, are two partial differential equations which provide a necessary and sufficient condition for a differentiable… …   Wikipedia

  • Continuum mechanics — Continuum mechanics …   Wikipedia

  • Denjoy theorem — In mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of a special kind, namely an irrational rotation. Arnaud Denjoy proved the theorem in the course… …   Wikipedia

  • Fréchet space — This article is about Fréchet spaces in functional analysis. For Fréchet spaces in general topology, see T1 space. For the type of sequential space, see Fréchet Urysohn space. In functional analysis and related areas of mathematics, Fréchet… …   Wikipedia

  • Quasiconformal mapping — In mathematics, the concept of quasiconformal mapping, introduced as a technical tool in complex analysis, has blossomed into an independent subject with various applications. Informally, a conformal homeomorphism is a homeomorphism between plane …   Wikipedia

  • Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …   Wikipedia

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