# Measure (mathematics)/Related Articles

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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.
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