The major concern of this paper is the problem of the retarded readers. They are children whose reading achievement is less than their general measured ability.

We consider two classes of semilinear wave equations with nonnegative damping which may be of type ”on–off” or integrally positive. In both cases we give a sufficient condition for the asymptotic stability of the solutions. In the case of integrally positive damping we show that such a condition is also necessary.

We show that a space with a finite asymptotic dimension is embeddable in a non-positively curved manifold. Then we prove that if a uniformly contractible manifold X is uniformly embeddable in Rn or non-positively curved n-dimensional simply connected manifold then X × Rn is integrally hyperspherical. If a uniformly contractible manifold X of bounded geometry is uniformly embeddable into a Hilbe...

A family F of graphs has the Erdős-Pósa property if for every graph G, the maximum number of pairwise disjoint subgraphs isomorphic to members of F contained in G and the minimum size of a set of vertices of G hitting all such subgraphs are bounded by functions of each other. Robertson and Seymour proved that if F consists of H-minors for some fixed graph H, then the planarity of H is equivalen...

The damage tolerance behavior of integrally and conventional stiffened panel is investigated based on the fracture mechanics and finite element analysis. The load bearing capability and crack growth characteristic of both types of the stiffened panels having same configuration subjected to distributed tensile load is examined in this paper. A fourteen-stringer stiffened panel is analyzed for a ...

For any field F, a polynomial f ∈ F [x1, x2, . . . , xk] can be associated with a polytope, called its Newton polytope. If the polynomial f has integrally indecomposable Newton polytope, in the sense of Minkowski sum, then it is absolutely irreducible over F, i.e., irreducible over every algebraic extension of F.We present some results giving new integrally indecomposable classes of polygons. C...