MathLiveComplex conjugate
The complex conjugate of a complex number z keeps its real part and flips the sign of its imaginary part. It is used in computing modulus squared, dividing complex numbers, and in many identities in algebra and physics.
\overline{z} = \operatorname{Re} z - \mathrm{i} \operatorname{Im} zWhat the symbols mean
| a complex number | |
| the complex conjugate of z | |
| the real part of z | |
| the imaginary part of z | |
| the imaginary unit, satisfying \mathrm{i}^2 = -1 |
About this formula
- FieldMathematics
- TopicComplex numbers
- LevelHigh school
- Also calledconjugate, complex conjugate of a number, conjugate of a complex number, z bar, reverse sign of imaginary part, complex number conjugate formula
- SourceWikidata Q381040
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