Factors influencing the germination of myrtle (Lagerstroemia speciosa (L.) Pers. and L-floribunda Jack) seeds

Gibberellic acid and potassium nitrate did not promote the germination of myrtle seeds when tested at 20/30degreesC (16/8h). Germination was promoted considerably by alternating temperatures. The results of an investigation on a two-dimensional temperature gradient plate showed that myrtle seeds germinated most rapidly (within 14 days) and fully (all viable seeds) at 35/22.5degreesC (16/8 h) and similar regimes. Tests on five seed lots of Lagerstroemia speciosa and L. floribunda showed the efficacy of the alternating temperature regime of 35/20degreesC (16/8 h) in promoting germination. Thus we recommend myrtle seeds be tested for germination in this regime for 28 days.

Integrable quadratic Hamiltonians on the Euclidean group of motions

In this paper, we discuss the problem of globally computing sub-Riemannian curves on the Euclidean group of motions SE(3). In particular, we derive a global result for special sub-Riemannian curves whose Hamiltonian satisfies a particular condition. In this paper, sub-Riemannian curves are defined in the context of a constrained optimal control problem. The maximum principle is then applied to this problem to yield an appropriate left-invariant quadratic Hamiltonian. A number of integrable quadratic Hamiltonians are identified. We then proceed to derive convenient expressions for sub-Riemannian curves in SE(3) that correspond to particular extremal curves. These equations are then used to compute sub-Riemannian curves that could potentially be used for motion planning of underwater vehicles.