We consider expanding discontinuous maps with holes and the associated Markov partitions. These partitions are characterized by the orbits of the turning points and the discontinuity points of the maps. For these maps we study the process of escape of points from the interval, that is...

In this paper we consider two elliptic problems. The rst one is a Dirichlet problem while the second is Neumann. We extend all the known results concerning Landesman-Laser conditions by using the Mountain-Pass theorem with the Cerami () condition

Virtual Reality Modeling Language (VRML) is a standard tool for interactive 3D graphics content of WWW pages, like HTML is for 2D pages. The main problem restricting use of this tool is a low performance rate: too long downloading VRML models through low b andwidth channels and slow rendering on...

The index of a Lie algebra is defined as , where is the stabilizer of under the coadjoint action of on . In this paper we derive simple formulas for the index of parabolic subalgebras of the even orthogonal algebra . We use these formulas to prove the conjecture that ind for any parabolic...

By re-analysing Heisenberg's Gamma-Ray Microscope experiment and the ideal experiment from which the uncertainty principle is derived, it is actually found that the uncertainty principle can not be obtained from them. It is therefore found to be untenable

A partition of positive integers is called similis parition. A pair () is a complementing pair if , where ℕ = ℕ ∪ {0}. When is a finite set, we show that similis partitions () are completely determined by complementing -pairs, where is the total number of prime factors of elements of . We...

It is hard to achieve high efficiency when large sparse problems are solved on parallel computers. There are three major reasons for this:• one must use indirect addressing in all sparse matrix techniques,• the data involved in computations are irregularly distributed, which means that there...