Last Updated：2025/11/26

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(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.

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imaginary unit

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imaginary unit

Noun

(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.

Japanese Meaning

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。

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Google Translation / DeepL Translation

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。

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Sense（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.

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imaginary units

（ plural ）

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imaginary unit

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imaginary unit

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