Well-known examples of convex functions of a single variable include a linear function (where is a real number), a quadratic function ( as a nonnegative real number) and an exponential …

A convex shape is a shape where all of its parts "point outwards." Learn about the convex shapes, the different types of convex shapes, examples, and questions.

Sep 9, 2023 · Concave lenses focus light inside the curve of the lens, while convex lenses focus light using the outer curve. A lens that curves like a “C” (no flat side) is both concave or …

The meaning of CONVEX is curved or rounded outward like the exterior of a sphere or circle. How to use convex in a sentence.

Illustrated definition of Convex: Going outwards. Example: A polygon (which has straight sides) is convex when there are NO dents or indentations...

What is a Convex Function? A convex function has a very distinct ‘smiley face’ appearance. A line drawn between any two points on the interval will never dip below the graph.

Dec 3, 2025 · A convex function is a continuous function whose value at the midpoint of every interval in its domain does not exceed the arithmetic mean of its values at the ends of the interval.

Convex functions are real valued functions which visually can be understood as functions which satisfy the fact that the line segment joining any two points on the graph of the function lie …

To delve deeper into the mathematical definition, a function f is convex if its second derivative is non-negative (f” (x) ≥ 0) for all x in its domain. This condition implies that the slope of the …

Convex definition: Having a surface or boundary that curves or bulges outward, as the exterior of a sphere.