In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size. In this sense, a measure is a generalization of the concepts of length, area, and volume. A particularly important example is the Lebesgue measure on a Euclidean space, which assigns the conventional length, area, and volume of Euclidean geometry to suitable subsets of the <math>n</math>-dimensional Euclidean space <math>\mathbb{R}^n</math>. For instance, the Lebesgue measure of the interval <math>\left1\right</math> in the real numbers is its length in the everyday sense ...

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  1. The quantity, size, weight, distance or capacity of a substance compared to a designated standard.
  2. An (unspecified) quantity or capacity.
  3. The precise designated distance between two objects or points.
  4. The dimensions or capacity of anything, reckoned according to some standard; size or extent, determined and stated.
    The tailor took my measure for a coat.
  5. The act of measuring.
  6. A musical designation consisting of all notes and or rests delineated by two vertical bars; an equal and regular division of the whole of a composition.
  7. The group or grouping of beats, caused by the regular recurrence of accented beats.
  8. A regulated movement, especially in a slow and stately dance, corresponding to the time in which the accompanying music is performed.
  9. The manner of ordering and combining the quantities, or long and short syllables; meter; rhythm; hence, a metrical foot.
    a poem in iambic measure
  10. A rule, ruler or measuring stick.
  11. A tactic, strategy or piece of legislation.
  12. A function that assigns a non-negative number to a given set following the mathematical nature that is common among length, volume, probability and the like.
  13. A number which is contained in a given number a number of times without a remainder; a divisor.
    the greatest common measure of two or more numbers
  14. A bed or stratum.
    coal measures; lead measures
  15. An indicator; something used to assess some property.


  1. To ascertain the quantity of a unit of material via calculated comparison with respect to a standard.
  2. To estimate the unit size of something.
  3. To judge, value, or appraise.
  4. To obtain or set apart; to mark in even increments.
  5. To traverse, cross, pass along; to travel over.
  6. To adjust by a rule or standard.
  7. To allot or distribute by measure; to set off or apart by measure; often with out or off.

The above text is a snippet from Wiktionary: measure
and as such is available under the Creative Commons Attribution/Share-Alike License.

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