Complex Functions

Definition

Complex functions are functions that take complex numbers as inputs and produce complex numbers as outputs. Complex numbers consist of both a real part and an imaginary part.

Analogy

Think of complex functions like mixing different flavors together to create something new. Just like how combining different ice cream flavors can result in unique tastes, complex functions combine both real numbers (like vanilla ice cream) with imaginary numbers (like chocolate syrup) to create new complex number outputs.

Related terms

Imaginary Numbers: Numbers that can be written as a real number multiplied by the imaginary unit, denoted by "i".

Polar Form: A way to represent complex numbers using their magnitude (distance from the origin) and argument (angle from the positive real axis).

Euler's Formula: A mathematical equation that relates exponential functions, trigonometric functions, and complex numbers.