Redundancy

The device must be nutged into a certain trajectory. The same trajectory can be achieved with many different body movements. More over, the same target may be hit by many different trajectories. Redundancy is the diversity of these possibilities.

Redundancy means many ways to the same destination.

The Problem is, to choose the best one out of the huge number of possibilities. To pick one definit path out of the diversity of possible body movements is a point of attention on its own.

With computer programs, for such kind of tasks, there is no definit solution. How you can find the optimal solutions of an indefinit number solutions - This is a own field in modern mathematics, touching the limits of calculation art an power.

A real sport for mathematicians is e.g. the "traveling salesman problem" (TSP). Wanted ist the shortest way through a number of cities. They can only compare a new solution with the former solutions, but they never know, whether one day any even better solution will come.

You find redundancies almost in every calculus of a throw. E.g. in the following chapters: Ballistics, Friction, Rotation, Power , Intermediate Styles