Measure (mathematics)/Related Articles

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A list of Citizendium articles, and planned articles, about Measure (mathematics).
See also changes related to Measure (mathematics), or pages that link to Measure (mathematics) or to this page or whose text contains "Measure (mathematics)".

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  • Caratheodory extension theorem [r]: A countably additive non-negative function on an algebra of subsets extends to a measure. [e]
  • Jacobian [r]: Determinant of the matrix whose ith row lists all the first-order partial derivatives of the function ƒi(x1, x2, …, xn). [e]
  • Measurable function [r]: Function on a measurable space to a measurable space such that the inverse image of a measurable set is a measurable set. [e]
  • Measure space [r]: Set together with a sigma-algebra of subsets of the set and a measure defined on this sigma-algebra. [e]
  • Measure theory [r]: Generalization of the concepts of length, area, and volume, to arbitrary sets of points not composed of line segments or rectangles. [e]
  • Measurement [r]: The act of quantifying a property of an object or relation; the output of the instrument or procedure that does the quantification [e]
  • Null set [r]: Add brief definition or description
  • Probability [r]: a numerical measure - on a scale of 0 to 1 - of the likelihood of an event, based either upon objective evidence or upon subjective judgement. [e]
  • Real number [r]: A limit of the Cauchy sequence of rational numbers. [e]
  • Sigma algebra [r]: A formal mathematical structure intended among other things to provide a rigid basis for measure theory and axiomatic probability theory. [e]
  • Stochastic process [r]: Family of random variables, dependent upon a parameter which usually denotes time. [e]
  • Support (mathematics) [r]: (1) The set of points where a function does not take some specific value, such as zero. (2) In a topological space, the closure of that set. [e]