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measurable rectangle

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  • Finite-dimensional distribution — In mathematics, finite dimensional distributions are a tool in the study of measures and stochastic processes. A lot of information can be gained by studying the projection of a measure (or process) onto a finite dimensional vector space (or… …   Wikipedia

  • Lebesgue integration — In mathematics, the integral of a non negative function can be regarded in the simplest case as the area between the graph of that function and the x axis. Lebesgue integration is a mathematical construction that extends the integral to a larger… …   Wikipedia

  • Jordan measure — In mathematics, the Jordan measure (also known as the Jordan content) is an extension of the notion of size (length, area, volume) to shapes more complicated than, for example, a triangle, disk, or parallelipiped. It turns out that for a set to… …   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

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Area — This article is about the geometric quantity. For other uses, see Area (disambiguation). The combined area of these three shapes is between 15 and 16 squares. Area is a quantity that expresses the extent of a two dimensional surface or shape in… …   Wikipedia

  • Lebesgue measure — In mathematics, the Lebesgue measure, named after Henri Lebesgue, is the standard way of assigning a length, area or volume to subsets of Euclidean space. It is used throughout real analysis, in particular to define Lebesgue integration. Sets… …   Wikipedia

  • Definition — For other uses, see Definition (disambiguation). A definition is a passage that explains the meaning of a term (a word, phrase or other set of symbols), or a type of thing. The term to be defined is the definiendum. A term may have many different …   Wikipedia

  • Many-worlds interpretation — The quantum mechanical Schrödinger s cat paradox according to the many worlds interpretation. In this interpretation every event is a branch point; the cat is both alive and dead, even before the box is opened, but the alive and dead cats are in… …   Wikipedia

  • Principles and Standards for School Mathematics — are guidelines produced by the National Council of Teachers of Mathematics (NCTM) in 2000, setting forth recommendations for mathematics educators.[1] They form a national vision for preschool through twelfth grade mathematics education in the US …   Wikipedia

  • Henri Lebesgue — Infobox Scientist name =Henri Lebesgue box width =26em image width =225px caption = birth date =1875 06 28 birth place =Beauvais, France death date =death date and age|1941|7|26|1875|6|28 death place =Paris, France residence = citizenship =… …   Wikipedia

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