The Continuous family of functions is quickly integrated analytically, to high precision. In its two-dimensional form, as shown in the plot above, the function rises up into a peak near the centre.

The Rotated Hyper-Ellipsoid function is continuous, convex and unimodal. It is an extension of the Axis Parallel Hyper-Ellipsoid function, also referred to as the Sum Squares function. The plot shows ...

A continuous function is exactly what it sounds like—a function that has no gaps or jumps. You can trace a path from any point on such a function to any other without lifting your pencil.