rectifiable curve

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• Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… …   Wikipedia

• Rectifiable set — In mathematics, a rectifiable set is a set that is smooth in a certain measure theoretic sense. It is an extension of the idea of a rectifiable curve to higher dimensions; loosely speaking, a rectifiable set is a rigorous formulation of a piece… …   Wikipedia

• rectifiable — adjective Etymology: rectify (to determine the length of an arc) Date: 1816 having finite length < a rectifiable curve > • rectifiability noun …   New Collegiate Dictionary

• Rectifiable — Rec ti*fi a*ble (r?k t?*f? ?*b l), a. 1. Capable of being rectified; as, a rectifiable mistake. [1913 Webster] 2. (Math.) Admitting, as a curve, of the construction of a straight line equal in length to any definite portion of the curve. [1913… …   The Collaborative International Dictionary of English

• rectifiable — /rek teuh fuy euh beuhl/, adj. 1. able to be rectified. 2. Math. of or pertaining to a curve or arc that has finite length. [1640 50; RECTIFY + ABLE] * * * …   Universalium

• Viviani's curve — In mathematics, particularly geometry, Viviani s curve, also known as Viviani s window, is a space curve generated by four windows on a hemispherical dome so that the dome is rectifiable.External links… …   Wikipedia

• Extremal length — In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves Gamma is a conformal invariant of Gamma. More specifically, suppose thatD is an open set in the complex plane and Gamma is a… …   Wikipedia

• Arc length — Determining the length of an irregular arc segment is also called rectification of a curve. Historically, many methods were used for specific curves. The advent of infinitesimal calculus led to a general formula that provides closed form… …   Wikipedia

• Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

• Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …   Wikipedia

• Line integral — 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