What is linearity?

Linearity refers to the property of a system, equation, or curve that behaves in a straight and predictable manner. It means that when a system or equation is linear, the output changes proportionally to the input. In other words, increasing or decreasing the input will result in an equal increase or decrease in the output. This property is commonly found in mathematical models in fields such as physics, engineering, and economics. Linearity plays an important role in signal processing, where it allows for the manipulation and analysis of signals in a predictable and efficient manner. Nonlinear systems, on the other hand, exhibit behavior that is more complex and difficult to predict, making them harder to study mathematically.