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Absolute continuity — In mathematics, the relationship between the two central operations of calculus, differentiation and integration, stated by fundamental theorem of calculus in the framework of Riemann integration, is generalized in several directions, using… … Wikipedia
Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) … Wikipedia
Absolute value — For the philosophical term, see Value (ethics). For the Akrobatik album, see Absolute Value (album). In mathematics, the absolute value (or modulus) |a| of a real number a is the numerical value of a without regard to its sign. So, for example,… … Wikipedia
Absolute Debugger — The absolute debugger is a legacy UNIX debugger found on Solaris 1 and 2, HP UX and SCO.A version of ADB was integrated into the BSD kernel as a kernel debugger. Today, the kernel debugger in *BSD is the only derivative of ADB still in regular… … Wikipedia
Covariant derivative — In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a… … Wikipedia
Total derivative — In the mathematical field of differential calculus, the term total derivative has a number of closely related meanings. * The total derivative of a function, f , of several variables, e.g., t , x , y , etc., with respect to one of its input… … Wikipedia
Weak derivative — In mathematics, a weak derivative is a generalization of the concept of the derivative of a function ( strong derivative ) for functions not assumed differentiable, but only integrable, i.e. to lie in the Lebesgue space L^1( [a,b] ). See… … Wikipedia
Metric derivative — In mathematics, the metric derivative is a notion of derivative appropriate to parametrized paths in metric spaces. It generalizes the notion of speed or absolute velocity to spaces which have a notion of distance (i.e. metric spaces) but not… … Wikipedia
Symmetric derivative — In mathematics, the symmetric derivative is an operation related to the ordinary derivative.It is defined as::lim {h o 0}frac{f(x+h) f(x h)}{2h}.A function is symmetrically differentiable at a point x if its symmetric derivative exists at that… … Wikipedia
Malliavin's absolute continuity lemma — In mathematics specifically, in measure theory Malliavin s absolute continuity lemma is a result due to the French mathematician Paul Malliavin that plays a foundational rôle in the regularity (smoothness) theorems of the Malliavin calculus.… … Wikipedia
analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… … Universalium
