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** Continuous differentiable functions are better-behaved than general continuous functions.
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** Robin Hartshorne ( 2011 ) Review of Continuous Symmetry, American Mathematical Monthly 118: 565 – 8.
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** and differentiable
** Conversely, if ƒ: I → R is absolutely continuous and thus differentiable almost everywhere, and satisfies | ƒ ′( x )| ≤ K for almost all x in I, then ƒ is Lipschitz continuous with Lipschitz constant at most K.
** More generally, Rademacher's theorem extends the differentiability result to Lipschitz mappings between Euclidean spaces: a Lipschitz map ƒ: U → R < sup > m </ sup >, where U is an open set in R < sup > n </ sup >, is almost everywhere differentiable.
** Reciprocity relation or exact differential, a mathematical differential of the form dQ, for some differentiable function Q
** Differential topology, in multivariable calculus, the differential of a smooth map between Euclidean spaces or differentiable manifolds is the approximating linear map between the tangent spaces, called pushforward ( differential )
** and functions
** Permanent memory ( ROM )- The instructions for in-built functions ( arithmetic operations, square roots, percentages, trigonometry etc.
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** Object composition, combining simpler data types into more complex data types, or function calls into calling functions
** Function composition ( computer science ), an act or mechanism to combine simple functions to build more complicated ones
** Function composition, an operation that takes functions and gives a single function as the result
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