A bar (also called an overbar) is a horizontal line written above a mathematical symbol to give it some special meaning. If the bar is placed over a single symbol, as in x^_ (voiced "x-bar"), it is sometimes called a macron. If placed over multiple symbols (especially in the context of a radical), it is known as a vinculum. Common uses of the bar symbol include the following.
1. The mean
x^_=1/nsum_(i=1)^nx_i
of a set {x_i}_(i=1)^n.
2. The complex conjugate
z^_=x-iy
for z=x+iy.
3. The complement F^_ of a set F.
4. A set stripped of any structure besides order, hence the order type of the set.
In conventional typography, "bar" refers to a vertical (instead a horizontal) single bar such as those used to denote absolute value (|x|) (Bringhurst 1997, p. 271).
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Step-by-step explanation:
A bar (also called an overbar) is a horizontal line written above a mathematical symbol to give it some special meaning. If the bar is placed over a single symbol, as in x^_ (voiced "x-bar"), it is sometimes called a macron. If placed over multiple symbols (especially in the context of a radical), it is known as a vinculum. Common uses of the bar symbol include the following.
1. The mean
x^_=1/nsum_(i=1)^nx_i
of a set {x_i}_(i=1)^n.
2. The complex conjugate
z^_=x-iy
for z=x+iy.
3. The complement F^_ of a set F.
4. A set stripped of any structure besides order, hence the order type of the set.
In conventional typography, "bar" refers to a vertical (instead a horizontal) single bar such as those used to denote absolute value (|x|) (Bringhurst 1997, p. 271).
Step-by-step explanation:
periodicity of 981.836 bar (mathematics)