An integer sequence a(n) is called a jump sequence if a(1) = 1 and 1 ≤ a(n) < n for n ≥ 2. Such a sequence has the property that ak(n) = a(a(· · · (a(n)) · · · )) goes to 1 in finitely many steps. We call the pattern (n, a(n), a2(n), . . . , al(n) = 1) a jumping pattern from n down to 1. In this paper we look at jumping sequences that are weight minimizing with respect to various weight functio...

At first glance, the strategy for generating propulsive impulses for both jumping and swimming in frogs is quite similar. Both modes rely on powerful extension of the hind limbs. However, in Rana esculenta (the semi-aquatic green frog), propulsive impulses for jumping were found to be much larger than those generated during swimming [Nauwelaerts and Aerts, 2003. Propulsive impulses as a covaryi...

We have been developing computer simulation models of the human body in order to simulate various forms of motions, e.g., walking, standing and jumping. In the earlier phase of our research, we utilized a simulation model of the human lower extremity that has nine rigid body segments. The number of degrees of freedom of the model was twenty. Using this model, two forms of jumping motions were s...

The purpose of this study was to investigate the emergence and stability of coordination patterns in children with developmental coordination disorder (DCD) when performing a rhythmic interlimb coordination task on rigid (floor) and elastic (mini-trampoline) surfaces. Twelve typically developing (TD) children and 12 children with DCD were required to clap while jumping under different condition...

The validity and reliability of the jumping ergometer method for evaluating performance in two-legged vertical countermovement and serial rebound jumps were investigated. The internal segmental and nonvertical energy flow components for drop jumps were also studied. The exact dynamic equations governing the jumping motion in three dimensions were derived and used together with the approximate r...