# Category:Complex Conjugates

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This category contains results about **Complex Conjugates**.

Definitions specific to this category can be found in **Definitions/Complex Conjugates**.

Let $z = a + i b$ be a complex number.

Then the **(complex) conjugate** of $z$ is denoted $\overline z$ and is defined as:

- $\overline z := a - i b$

## Subcategories

This category has the following 3 subcategories, out of 3 total.

## Pages in category "Complex Conjugates"

The following 31 pages are in this category, out of 31 total.

### A

### C

- Complex Conjugate of Gamma Function
- Complex Conjugation is Automorphism
- Complex Conjugation is Involution
- Complex Conjugation is not Linear Mapping
- Complex Division as Product with Conjugate over Square of Modulus
- Complex Modulus equals Complex Modulus of Conjugate
- Complex Number equals Conjugate iff Wholly Real
- Complex Number equals Negative of Conjugate iff Wholly Imaginary
- Complex Roots of Polynomial with Real Coefficients occur in Conjugate Pairs
- Condition on Conjugate from Real Product of Complex Numbers
- Conjugate of Polynomial is Polynomial of Conjugate
- Conjugate of Real Polynomial is Polynomial in Conjugate
- Convergence of Complex Conjugate of Convergent Complex Sequence