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Vinculum

A vinculum is a horizontal line placed over a mathematical expression, used to indicate that it is to be considered a group.

Examples of its use include the case of a group of infinitely repeating digits, for example,

\frac{1}{3} = 0.333333\dots = 0.\overline{3}

It is also used in the notation of a radical to indicate the radicand whose root is being indicated. In the case of

\sqrt[n]{ab+2}

the quantity ab + 2 is the radicand, and thus has a vinculum over it.

The vinculum is also sometimes used in Boolean algebra, where it serves to indicate a group of expressions whose logical result is to be NOTed, as in

\overline{AB}


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01-04-2007 01:21:04