Complex Number

The algebraically closed set that follows: $z=a+bi$ where $i$ is the Imaginary Number

• $a$ is the Real Number part of the complex number ($a=Re(z)$ where $z$ is the complex number)
• $bi$ is the imaginary segment

Identities

Additive Identity

$\hat{0}=0+0i$

Multiplicative Identity

$1=1+0i$

Laws

• Complex Number Addition
• Complex Number Multiplication
• Complex Number Subtraction
• Complex Number Division
• Complex Conjugate
• Complex Number Modulus
• Complex Number Unit Vector
• Complex to Real Mapping

Concepts

• Polar Form