Several representations of geometric shapes involve quotients of mapping spaces. The projection onto the quotient space defines two subbundles of the tangent bundle, called the horizontal and vertical bundle. We investigate in these notes the sub-Riemannian geometries of these bundles. In particular, we show for a selection of bundles which naturally occur in applications that they are either b...

INTRODUCTION AND OBJECTIVES Several studies have demonstrated that physical fitness in childhood and adolescence is related to cardiovascular risk in adulthood. Current data on the physical fitness of Spanish adolescents are not available. Therefore, the aims of this study were: a) to assess the physical fitness of Spanish adolescents and establish reference values for use in health and educati...

This paper presents a method for the optimal state assignment of asynchronous state machines. Unlike state assignment for synchronous state machines, state codes must be chosen carefully to insure the avoidance of critical races and logic hazards[29]. Two related problems are considered: (i) optimal critical race-free state assignment; and (ii) optimal hazard-free and critical race-free state a...

to study of genetic diversity of rapeseed genotypes using multivariate methods under normal and drought stress conditions, 16 genotypes were evaluated using a randomized complete blocks design with three replications in razi university in 2007-08 cropping season. factor analysis under normal condition showed that nine factors explained 89.05 percentage of total data variation, and under drought...

The three-dimensional evolution of near-inertial internal gravity waves is investigated for the case of a laterally unbounded fluid layer of constant finite depth. A general Green’s function formulation is derived which can be used to solve initial value problems or study the effect of forcing. The Green’s function is expanded in vertical normal modes, and is very singular. Convolutions with fi...

with α 6= 0, and initial condition x(p, 0) = x0(p). This produces a family of curves γt = x(S, t). Here κ is the curvature, and n is the outward-pointing unit normal vector. These equations are particularly natural in that they are isotropic (equivariant under rotations in the plane) and homogeneous (equivariant under dilation of space, if time is also scaled accordingly). The main aim of this ...