(this fundamental result of lebesgue

  • 11Muckenhoupt weights — In mathematics, the class of Muckenhoupt weights Ap consists of those weights ω for which the Hardy–Littlewood maximal operator is bounded on Lp(dω). Specifically, we consider functions f on and their associated maximal functions M(f) defined as… …

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  • 12Gâteaux derivative — In mathematics, the Gâteaux differential is a generalisation of the concept of directional derivative in differential calculus. Named after René Gâteaux, a French mathematician who died young in World War I, it is defined for functions between… …

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  • 13Integral — 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… …

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  • 14List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods …

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  • 15Probability distribution — This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density …

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  • 16Expected value — This article is about the term used in probability theory and statistics. For other uses, see Expected value (disambiguation). In probability theory, the expected value (or expectation, or mathematical expectation, or mean, or the first moment)… …

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  • 17Nicolas Bourbaki — This article is about the group of mathematicians named Nicolas Bourbaki. For the family of French officers named Bourbaki, see Bourbaki family (disambiguation). For the computer scientist, see Nikolaos Bourbakis. Nicolas Bourbaki is the… …

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  • 18Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …

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  • 19analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …

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  • 20mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …

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