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inverse limit

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  • Inverse limit — In mathematics, the inverse limit (also called the projective limit) is a construction which allows one to glue together several related objects, the precise manner of the gluing process being specified by morphisms between the objects. Inverse… …   Wikipedia

  • Inverse (mathematics) — Inverse is the opposite of something. This word and its derivatives are used greatly in mathematics, as illustrated below. * Inverse element of an element x with respect to a binary operation * with identity element e is an element y such that x… …   Wikipedia

  • Limit (category theory) — In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint… …   Wikipedia

  • Inverse system — In mathematics, an inverse system in a category C is a functor from a small cofiltered category I to C . An inverse system is sometimes called a pro object in C .The category of inverse systemsPro objects in C form a category pro C . Two inverse… …   Wikipedia

  • Inverse synthetic aperture radar — (ISAR) is a technique to generate a two dimensional high resolution image of a target.In situations where other radars display only a single unidentifiable bright moving pixel, the ISAR image is often adequate to discriminate between various… …   Wikipedia

  • Inverse-square law — In physics, an inverse square law is any physical law stating that some physical quantity or strength is inversely proportional to the square of the distance from the source of that physical quantity. Areas of application In particular the… …   Wikipedia

  • Inverse image functor — In mathematics, the inverse image functor is a contravariant construction of sheaves. The direct image functor is the primary operation on sheaves, with the simplest definition. The inverse image exhibits some relatively subtle… …   Wikipedia

  • Direct limit — In mathematics, a direct limit (also called inductive limit) is a colimit of a directed family of objects . We will first give the definition for algebraic structures like groups and modules, and then the general definition which can be used in… …   Wikipedia

  • Illustration of the central limit theorem — This article gives two concrete illustrations of the central limit theorem. Both involve the sum of independent and identically distributed random variables and show how the probability distribution of the sum approaches the normal distribution… …   Wikipedia

  • Profinite group — In mathematics, profinite groups are topological groups that are in a certain sense assembled from finite groups; they share many properties with their finite quotients. Definition Formally, a profinite group is a Hausdorff, compact, and totally… …   Wikipedia

  • p-adic number — In mathematics, and chiefly number theory, the p adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number… …   Wikipedia

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