Long jump Long jump The long jump (historically called the broad jump in the USA) is a track and field event in which athletes combine speed, strength and agility in an attempt to leap as far as possible from a take off point. Along with the triple jump, the two events that measure jumping for distance as a group are referred to as the "horizontal jumps". This event has a history in the Ancient Olympic Games and has been a modern Olympic event for men since the first Olympics in 1896 and for women since 1948. At the elite level, competitors run
Step detection is the Potts model. It is given by the non-convex optimization problem The term formula_11 penalizes the number of jumps and the term formula_12 measures fidelity to data "x". The parameter γ > 0 controls the tradeoff between regularity and data fidelity. Since the minimizer formula_13 is piecewise constant the steps are given by the non-zero locations of the gradient formula_14. For formula_15 and formula_16 there are fast algorithms which give an exact solution of the Potts problem in formula_17. Step detection In statistics and signal processing, step detection (also known as step smoothing, step filtering, shift detection, jump detection