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How to pronounce “outer measure”
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Pronunciation guide for outer measure
- Learning goal
- Practice the English pronunciation of outer measure with real speech in context.
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- Definition summary
- (mathematical analysis, measure theory) A measure-like function derived from some premeasure as follows: when it is applied to a set E, it yields the infimum of the premeasures of all possible premeasurable covers of E. More abstractly, a measure-like function whose domain is the power set of some underlying set, which has the properties of (1) yielding zero when applied to the empty set, (2) being monotonic (if A is subset of B then this function applied to A is less-than-or-equal to this function applied to B), (3) being subadditive (if A is a countable sum of Bj's then this function applied to A is less-than-or-equal to the sum of the applications of this function to the Bj's).
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A Deep Dive Into “outer measure”
Meaning
- [Noun]
- (mathematical analysis, measure theory) A measure-like function derived from some premeasure as follows: when it is applied to a set E, it yields the infimum of the premeasures of all possible premeasurable covers of E. More abstractly, a measure-like function whose domain is the power set of some underlying set, which has the properties of (1) yielding zero when applied to the empty set, (2) being monotonic (if A is subset of B then this function applied to A is less-than-or-equal to this function applied to B), (3) being subadditive (if A is a countable sum of Bj's then this function applied to A is less-than-or-equal to the sum of the applications of this function to the Bj's).
Practice Nearby Words
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Similar Sounds
outerwear, countermeasure, admeasure, armature, outrigger, outer ear, outroar, armiger, out there, outer core, treasure, outrage, outreach, outmatch, determiner, outermost, outrider, outwear, armar, armourer, countermeasures, armure, water meter