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  • Bounded set — In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from …   Wikipedia

  • Bounded function — In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded. In other words, there exists a number M >0 such that :|f(x)|le M for all x in X .Sometimes, if f(x)le A for all …   Wikipedia

  • National Register of Historic Places listings in Manhattan below 14th Street — Main article: National Register of Historic Places listings in New York County, New York List of the National Register of Historic Places listings in Manhattan below 14th Street Map of all coordinates from Google …   Wikipedia

  • National Register of Historic Places listings in Manhattan from 14th to 59th Streets — Main article: National Register of Historic Places listings in New York County, New York This is a list of properties and districts in Manhattan from 14th to 59th Streets that are listed on the National Register of Historic Places. Map of all… …   Wikipedia

  • Totally bounded space — In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed size (where the meaning of size depends on the given context). The smaller the size fixed, the more… …   Wikipedia

  • Upper and lower bounds — In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set ( P , le;) is an element of P which is greater than or equal to every element of S . The term lower bound is defined dually as an element of P… …   Wikipedia

  • Convergence of random variables — In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to …   Wikipedia

  • Communication complexity — The notion of communication complexity was introduced by Yao in 1979,[1] who investigated the following problem involving two separated parties (Alice and Bob). Alice receives an n bit string x[clarification needed] and Bob another n bit string… …   Wikipedia

  • Convergence of measures — In mathematics, more specifically measure theory, there are various notions of the convergence of measures. Three of the most common notions of convergence are described below. Contents 1 Total variation convergence of measures 2 Strong… …   Wikipedia

  • Direct method in the calculus of variations — In the calculus of variations, a topic in mathematics, the direct method is a general method for constructing a proof of the existence of a minimizer for a given functional,[1] introduced by Zaremba and David Hilbert around 1900. The method… …   Wikipedia

  • Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 …   Wikipedia

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