Convex Functions

A convex function is a mathematical concept where, if you take any two points on its curve and connect them with a straight line, the line will always lie above the curve. This means that the function generally bends upwards. Convex functions have a unique minimum point, making them important in optimization problems. For example, if you think of a bowl shape, the lowest point of the bowl is where the function reaches its minimum value. This property is useful in fields like economics, engineering, and machine learning, as it helps in finding optimal solutions effectively.