in+some+measure

  • 101Curvature of a measure — In mathematics, the curvature of a measure defined on the Euclidean plane R2 is a quantification of how much the measure s distribution of mass is curved . It is related to notions of curvature in geometry. In the form presented below, the… …

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  • 102Transverse measure — In mathematics, a measure on a real vector space is said to be transverse to a given set if it assigns measure zero to every translate of that set, while assigning finite and positive (i.e. non zero) measure to some compact set.DefinitionLet V be …

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  • 103Concentration of measure — In mathematics, concentration of measure (about a median) is a principle that is applied in measure theory, probability and combinatorics, and has consequences for other fields such as Banach space theory. Informally, it states that A random… …

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  • 104Metric outer measure — In mathematics, a metric outer measure is an outer measure μ defined on the subsets of a given metric space (X, d) such that for every pair of positively separated subsets A and B of X. Construction of metric outer measures Let… …

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  • 105Geometric measure theory — In mathematics, geometric measure theory (GMT) is the study of the geometric properties of the measures of sets (typically in Euclidean spaces), including such things as arc lengths and areas. It has applications in image processing.Deep results… …

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  • 106Maximising measure — In mathematics specifically, in ergodic theory a maximising measure is a particular kind of probability measure. Informally, a probability measure μ is a maximising measure for some function f if the integral of f with respect to μ is “as big as… …

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  • 107Perfect measure — In mathematics mdash; specifically, in measure theory mdash; a perfect measure (or, more accurately, a perfect measure space) is one that is ldquo;well behaved rdquo; in some sense. Intuitively, a perfect measure mu; is one for which, if we… …

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  • 108Uniformly distributed measure — In mathematics specifically, in geometric measure theory a uniformly distributed measure on a metric space is one for which the measure of an open ball depends only on its radius and not on its centre. By convention, the measure is also required… …

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  • 109there is measure in all things — Similar to moderation in all things. HORACE Satires I. i. 106 est modus in rebus, there is measure in things. c 1385 CHAUCER Troilus & Criseyde II. 715 In every thyng, I woot, there lith mesure [moderation]. 1598–9 SHAKESPEARE Much Ado about… …

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  • 110Units of Measure Directive — The Units of Measure Directive, sometimes referred to as the Metric Directive and more formally known as Council Directive 80/181/EEC of 20 December 1979 on the approximation of the laws of the Member States relating to units of measurement and… …

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