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单词 conjugate
释义

conjugate

(of a complex number) For any complex number z, where z = x + yi, its conjugate inline (also denoted z) is equal to x−yi. As a point in the complex plane inline represents the mirror image of z in the real axis. The complex conjugate satisfies,

and so complex conjugation is a field automorphism of ℂ. Other identities include

It is an important fact that if the complex number α is a root of a polynomial equation

where a1,…, an are real, then inline is also a root of this equation.

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更新时间:2025/4/29 16:09:09