For a compact surface Σ (orientable or not, and with boundary or not) we show that the fixed subgroup, FixB, of any family B of endomorphisms of π1(Σ) is compressed in π1(Σ), i.e., rk(FixB) 6 rk(H) for any subgroup FixB 6 H 6 π1(Σ). On the way, we give a partial positive solution to the inertia conjecture, both for free and for surface groups. We also investigate direct products, G, of finitely...

the optimum shape of balance weights is determined, using two different criteria. according to one, one of the balance weights should have minimum size. while the other requires that the mass moment of inertia about the axis of rotation should be minimum. in the second case, the calculus of variation is used to determine the optimum shape. graphs are presented to enable designers to find the di...

By making use of the notions and the notations from [12], we present the bounded delays, the absolute inertia and the relative inertia.

Abstract We define the notion of a characteristically inert socle-regular Abelian p -group and explore such groups by focussing on their socles, thereby relating them to previously studied notions socle-regularity. show that large classes -groups, including all divisible, totally projective torsion-complete share this property when prime is odd. The present work generalizes full inertia intensi...

In this paper, an adaptive attitude control algorithm is developed based on neural network for a satellite using four reaction wheels in a tetrahedron configuration. Then, an attitude control based on feedback linearization control is designed and uncertainties in the moment of inertia matrix and disturbances torque have been considered. In order to eliminate the effect of these uncertainties, ...