Convex function than convex or strictly convex functions, since they are a smaller class. Like strictly convex functions, strongly convex functions have unique minima on compact sets. A uniformly convex function, with modulus formula_70, is a function that, for all "x", "y" in the domain and , satisfies where formula_70 is a function that is non-negative and vanishes only at 0. This is a generalization of the concept of strongly convex function; by taking formula_73 we recover the definition of strong convexity. Convex function In mathematics, a real-valued function defined on an "n"-dimensional interval is called convex (or convex downward or concave
Focal cloud Focal cloud A focal cloud is the collection of focal points of an "imperfect" lens or parabolic reflector whether optical, electrostatic or electromagnetic. This includes parabolic antennas and lens-type reflective antennas of all kinds. The effect is analogous to the circle of confusion in photography. In a perfect lens or parabolic reflector, rays parallel to the device's axis striking the lens or reflector all pass through a single point, the focal point. In an imperfectly constructed lens or reflector, rays passing through different parts of the element do not converge to a single point but have different focal points. The