principal root

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(mathematics) A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts.

日本語の意味

数学において、n 乗するとその数の n 次根（被根）となる複素数の中で、実部が最も大きく、実部が同じ場合には正の虚部を持つもの。

英語の意味

(mathematics) A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts.

このボタンはなに？

When solving the equation zn = w in the complex plane, we typically choose the principal root to represent the value with the maximal real part.

複素平面で方程式 z^n = w を解くとき、通常、n 乗すると被根になる複素数のうち実部が最も大きい（実部が等しい場合は虚部が正の）ものを値として選びます。

詳細

意味（1）

(mathematics) A complex number which, when raised to the power of n, yields the radicand of its nth degree radical, and which has the greatest real part among all such numbers, and positive imaginary part in case of equality of the real parts.

The square roots of 4 are 2 and -2, the principal square root of 4 is 2.

詳細

principal roots （ plural ）