rectifiable set
Смотреть что такое "rectifiable set" в других словарях:
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
Capacity of a set — In mathematics, the capacity of a set in Euclidean space is a measure of that set s size . Unlike, say, Lebesgue measure, which measures a set s volume or physical extent, capacity is a mathematical analogue of a set s ability to hold electrical… … 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
Hausdorff density — In measure theory, a field of mathematics, the Hausdorff density measures how concentrated a Radon measure is at some point. Contents 1 Definition 2 Marstrand s theorem 3 Preiss theorem 4 References … Wikipedia
Varifold — In mathematics, a varifold is, loosely speaking, a measure theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general… … Wikipedia
Rectification — has the following technical meanings. *Rectification, in astrology * Rectification (chemistry) *Chinese history see Cheng Feng *Rectification (geometry) truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices … Wikipedia
List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… … Wikipedia
Minkowski content — The Minkowski content of a set, or the boundary measure, is a basic concept in geometry and measure theory which generalizes to arbitrary measurable sets the notions of length of a smooth curve in the plane and area of a smooth surface in the… … 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
