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piecewise differentiable

См. также в других словарях:

  • Piecewise — In mathematics, a piecewise defined function (also called a piecewise function) is a function whose definition is dependent on the value of the independent variable. Mathematically, a real valued function f of a real variable x is a relationship… …   Wikipedia

  • piecewise — /pees wuyz /, adv. Math. denoting that a function has a specified property, as smoothness or continuity, on each of a finite number of pieces into which its domain is divided: a piecewise continuous function; a piecewise differentiable curve.… …   Universalium

  • piecewise — ˈpēsˌwīz adverb Etymology: piece (I) + wise : with respect to a number of discrete intervals, sets, or pieces * * * /pees wuyz /, adv. Math. denoting that a function has a specified property, as smoothness or continuity, on each of a finite… …   Useful english dictionary

  • PDIFF — Splines are piecewise smooth, hence in PDIFF, but not globally smooth or piecewise linear, hence not in DIFF or PL. In geometric topology, PDIFF, for piecewise differentiable, is the category of piecewise smooth manifolds and piecewise smooth… …   Wikipedia

  • Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) …   Wikipedia

  • Winding number — The term winding number may also refer to the rotation number of an iterated map. This curve has winding number two around the point p. In mathematics, the winding number of a closed curve in the plane around a given point is an integer… …   Wikipedia

  • Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

  • Tetration — In mathematics, tetration (also known as hyper 4) is an iterated exponential, the first hyper operator after exponentiation. The portmanteau word tetration was coined by English mathematician Reuben Louis Goodstein from tetra (four) and iteration …   Wikipedia

  • Dual curve — Curves, dual to each other; see below for properties. In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual,… …   Wikipedia

  • Gini coefficient — The Gini coefficient is a measure of statistical dispersion most prominently used as a measure of inequality of income distribution or inequality of wealth distribution. It is defined as a ratio with values between 0 and 1: A low Gini coefficient …   Wikipedia

  • Phase-locked loop — PLL redirects here. For other uses, see PLL (disambiguation). A phase locked loop or phase lock loop (PLL) is a control system that generates an output signal whose phase is related to the phase of an input reference signal. It is an electronic… …   Wikipedia

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