؇ U+0607 Unicode文字
Unicode
U+0607
؇
数値文字参照
؇ ؇
URLエンコード(UTF-8)
%D8%87
ユニコード名
ARABIC-INDIC FOURTH ROOT
一般カテゴリ－
Symbol, Math（記号，数学）
Base64エンコード : 2Ic=
「؇」に似ている意味の文字
؇の説明
Translingual
Letter
؇
The Arabic symbol for fourth root[出典:Wiktionary]
In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x:
r
n
=
x
,
{\displaystyle r^{n}=x,}
where n is a positive integer, sometimes called the degree of the root. 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.
Any non-zero number considered as a complex number has n different complex nth roots, including the real ones (at most two). The nth root of 0 is zero for all positive integers n, since 0n = 0. In particular, if n is even and x is a positive real number, one of its nth roots is real and positive, one is negative, and the others (when n > 2) are non-real complex numbers; if n is even and x is a negative real number, none of the nth roots is real. If n is odd and x is real, one nth root is real and has the same sign as x, while the other (n – 1) roots are not real. Finally, if x is not real, then none of its nth roots are real.
Roots of real numbers are usually written using the radical symbol or radix
{\displaystyle {\sqrt {{~^{~}}^{~}\!\!}}}
, with
x
{\displaystyle {\sqrt {x}}}
denoting the positive square root of x if x is positive; for higher roots,
x
n
{\displaystyle {\sqrt[{n}]{x}}}
denotes the real nth root if n is odd, and the positive nth root if n is even and x is positive. In the other cases, the symbol is not commonly used as being ambiguous. In the expression
x
n
{\displaystyle {\sqrt[{n}]{x}}}
, the integer n is called the index and x is called the radicand.
When complex nth roots are considered, it is often useful to choose one of the roots, called principal root, as a principal value. The common choice is to choose the principal nth root of x as the nth root with the greatest real part, and when there are two (for x real and negative), the one with a positive imaginary part. This makes the nth root a function that is real and positive for x real and positive, and is continuous in the whole complex plane, except for values of x that are real and negative.
A difficulty with this choice is that, for a negative real number and an odd index, the principal nth root is not the real one. For example,
−
8
{\displaystyle -8}
has three cube roots,
−
2
{\displaystyle -2}
,
1
+
i
3
{\displaystyle 1+i{\sqrt {3}}}
and
1
−
i
3
.
{\displaystyle 1-i{\sqrt {3}}.}
The real cube root is
−
2
{\displaystyle -2}
and the principal cube root is
1
+
i
3
.
{\displaystyle 1+i{\sqrt {3}}.}
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 can also be defined as special cases of exponentiation, where the exponent is a fraction:
x
n
=
x
1
/
n
.
{\displaystyle {\sqrt[{n}]{x}}=x^{1/n}.}
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.[出典:Wikipedia]
؇の文字を使った例文
؇は、非常に珍しい文字であり、一見すると何の意味も持たないように見えます。しかし、実際にはこの文字には深い意味が込められています。 この文字は、アラビア語の「hamza」（ハムザ）と呼ばれる文字の一種です。ハムザは、アラビア語の中で発音の特殊な音を表現する文字であり、例えば「アブドゥル・ムタリブ」（アラビア語で「ムタリブのアブドゥル」を意味する名前）のように、名前によく使われます。 しかし、ハムザは書き方が非常に複雑で、単に「؇」を使うだけでは不十分な場合があります。そのため、アラビア語の書き方に精通した人々は、ハムザの書き方に非常に熟達しています。 また、ハムザは、アラビア語の中で非常に重要な役割を持っています。ハムザが含まれる単語が、アラビア語でどのように発音されるかは、その単語の意味を左右する場合があるからです。 例えば、「単語」を意味するアラビア語の「كلمة」（カルマ）と、「コルマの木」を意味する「قرم」（クルム）は、ハムザの有無によって発音が大きく異なります。このように、アラビア語では、ハムザが言語の正確な理解に欠かせない重要な役割を果たしています。 つまり、そして言葉の中で愛らしく細密な役割を演じている؇の意味は、単に「hamza」（ハムザ）であり、アラビア語の中で重要な役割を果たす、非常に素晴らしい文字であると言えます。(この例文はAIにより作成されています。特定の文字を含む文章を出力していますが内容が正確でない場合があります。)