what is measurement and what is set
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In mathematics, a measure on a set is a systematic way to assign a number to subsets of a set, intuitively interpreted as the size of the subset. Those sets which can be associated with such a number, we call measurable sets. In this sense, a measure is a generalization of the concepts of length, area, and volume.
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measurement .
a size, amount, etc. that is found by measuring
set .
put, lay, or stand (something) in a specified place or position.
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