Difference between revisions of "Measure"

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In [[mathematics]], '''measure''' can mean the amount of [[degree]]s in an [[angle]], the [[length]] of a [[line segment]], or a [[function]] that assigns a [[number]] to [[subset]]s of a given [[set]].
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In [[mathematics]], '''measure''' can mean the amount of [[degree (geometry) | degree]]s in an [[angle]], the [[length]] of a [[line segment]], or a [[function]] that assigns a [[number]] to [[subset]]s of a given [[set]].
  
 
== Line Segments ==
 
== Line Segments ==

Revision as of 14:06, 9 November 2006

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In mathematics, measure can mean the amount of degrees in an angle, the length of a line segment, or a function that assigns a number to subsets of a given set.

Line Segments

The measure of $\overline{AB}$ is indicated by $AB$, without the bar on top. If $\overline{AB}\cong\overline{CD}$, then $AB=CD$.

Angles

The measure of $\angle ABC$ is indicated by $\mbox{m}\angle ABC$. If $\angle ABC\cong\angle DEF$, then $\mbox{m}\angle ABC=\mbox{m}\angle DEF$.

The measure of an angle can expressed in degrees or in radians.

Sets

The measure of a set is known as the set's cardinality. If $S=\{-2,\,\pi,\,7\}$, then the cardinality of set $S$ is $3$.

See Also