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Complex conjugate

Fundamental operation on complex numbers

Complex conjugate

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In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but with opposite sign. That is, if a {\displaystyle a} and b {\displaystyle b} are real numbers, then the complex conjugate of a + b i {\displaystyle a+bi} is ⁠ a − b i {\displaystyle a-bi} ⁠. The complex conjugate of z {\displaystyle z} is often denoted as z ¯ {\displaystyle {\overline {z}}} or ⁠ z ∗ {\displaystyle z^{*}} ⁠. In polar form, if r {\displaystyle...

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