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An overline, overscore, or overbar, is a typographical feature of a horizontal line drawn immediately above the text. In old mathematical notation, an overline was called a vinculum, a notation for grouping symbols which is expressed in modern notation by parentheses, though it persists for symbols under a radical sign.
A vinculum (from Latin vinculum 'fetter, chain, tie') is a horizontal line used in mathematical notation for various purposes. It may be placed as an overline or underline above or below a mathematical expression to group the expression's elements.
The overline is a typographical symbol similar to the macron, used in a number of ways in mathematics and science. For example, it is used to represent complex conjugation : z = a + b i ; z ¯ = a − b i {\displaystyle z=a+bi;\quad {\overline {z}}=a-bi}
In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an complex matrix is an matrix obtained by transposing and applying complex conjugation to each entry (the complex conjugate of + being , for real numbers and ).
A standard definition of an ellipse is the set of points for which the sum of a point's distances to two foci is a constant; if this constant equals the distance between the foci, the line segment is the result. A complete orbit of this ellipse traverses the line segment twice. As a degenerate orbit, this is a radial elliptic trajectory.
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The Symbol font displays the character without any vinculum whatsoever; the overline may be a separate character at 0x60. [4] The JIS, [5] Wansung [6] and CNS 11643 [7] [8] code charts include a short overline attached to the radical symbol, whereas the GB 2312 [9] and GB 18030 charts do not. [10]
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