In every connected component of stratum Abelian differentials, we construct square-tiled surfaces with one vertical and horizontal cylinder. We show that for all but the hyperelliptic components this can be achieved in minimum number squares necessary a surface stratum. For components, required is strictly greater realising these bounds. Using surfaces, demonstrate pseudo-Anosov homeomorphisms ...

In this study, control over the wake flow of a single square cylinder exercised by flat plate attached to rear side is analyzed numerically via lattice Boltzmann method. The Reynolds number ( Re ) fixed at 150, and length varied from 0.1 8.5. Three distinct modes ar...

Linear combinations of fundamental solutions to the parabolic heat equation with source points fixed in time is investigated. The open problem whether these linear generate a dense set space square integrable functions on lateral boundary space-time cylinder, settled negative. independence shown hold. It outlined at end, for particular example, that such constitute linearly independent and uppe...

Experience with patients using artificial arms powered by compressed carbon dioxide indicates that reasonable requirements for a powered elbow are : 1) a Starting torque of about 80 pound inches; 2) an energy store of 4,800 foot pounds (100 per cent efficient conversion) carried on the body ; and 3) an energy store of maximum weight of 3 pounds. The figure of 4,800 foot pounds is arrived at by ...