English Dictionary

imaginary unit

名詞

(number theory, complex analysis, quaternion theory) An imaginary number (in the case of complex numbers, usually denoted i) that is defined as a solution to the equation i²=-1.

日本語の意味

虚数単位：複素数において、通常はiで表される虚数で、i² = -1という方程式の解として定義される。 / 複素解析や四元数論における基本的な概念で、数論的な文脈でも用いられる。

In complex analysis, the imaginary unit plays a central role in rotating vectors by 90 degrees in the complex plane.

複素解析では、虚数単位iが複素平面上のベクトルを90度回転させる上で中心的な役割を果たします。

意味（1）

(number theory, complex analysis, quaternion theory) An imaginary number (in the case of complex numbers, usually denoted i) that is defined as a solution to the equation i²=-1.

In Section 4.3 we introduced the imaginary unit i with (i)²=-1, in the complex space domain. In section 4.4 we introduced the complex unit j with (j)²=-1, in connection with the time dependency of the shape (4.4.16) of the swimming profile. These different imaginary units have no interaction, we leave unaltered the product ij.

imaginary units （ plural ）