U+0607 Arabic-Indic Fourth Root
U+0607 was added in Unicode version 5.1 in 2008. It belongs to the block
This character is a Math Symbol and is mainly used in the Arabic script.
The glyph is not a composition. It has no designated width in East Asian texts. In bidirectional text it acts as Other Neutral. When changing direction it is not mirrored. The word that U+0607 forms with similar adjacent characters prevents a line break inside it.
The Wikipedia has the following information about this codepoint:
In mathematics, an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x:
The integer n is called the index or degree, and the number x of which the root is taken is the radicand. A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. The computation of an nth root is a root extraction.
For example, 3 is a square root of 9, since 32 = 9, and −3 is also a square root of 9, since (−3)2 = 9.
The nth root of x is written as using the radical symbol or radix . The square root is usually written without the n as just . Taking the nth root of a number is the inverse operation of exponentiation, and can be written as a fractional exponent:
For a positive real number x, denotes the positive square root of x and denotes the positive real nth root. A negative real number −x has no real-valued square roots, but when x is treated as a complex number it has two imaginary square roots, and , where i is the imaginary unit.
In general, any non-zero complex number has n distinct complex-valued nth roots, equally distributed around a complex circle of constant absolute value. (The nth root of 0 is zero with multiplicity n, and this circle degenerates to a point.) Extracting the nth roots of a complex number x can thus be taken to be a multivalued function. By convention the principal value of this function, called the principal root and denoted , is taken to be the nth root with the greatest real part and in the special case when x is a negative real number, the one with a positive imaginary part. The principal root of a positive real number is thus also a positive real number. As a function, the principal root is continuous in the whole complex plane, except along the negative real axis.
An unresolved root, especially one using the radical symbol, is sometimes referred to as a surd or a radical. Any expression containing a radical, whether it is a square root, a cube root, or a higher root, is called a radical expression, and if it contains no transcendental functions or transcendental numbers it is called an algebraic expression.
Roots are used for determining the radius of convergence of a power series with the root test. The nth roots of 1 are called roots of unity and play a fundamental role in various areas of mathematics, such as number theory, theory of equations, and Fourier transform.
Representations
System | Representation |
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Nº | 1543 |
UTF-8 | D8 87 |
UTF-16 | 06 07 |
UTF-32 | 00 00 06 07 |
URL-Quoted | %D8%87 |
HTML hex reference | ؇ |
Wrong windows-1252 Mojibake | ؇ |
Encoding: GB18030 (hex bytes) | 81 30 FE 37 |
Elsewhere
Complete Record
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5.1 (2008) | |
ARABIC-INDIC FOURTH ROOT | |
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