Геометрия параллелепипедов находит отражение в таких разделах математики как комбинаторный анализ, полилинейная алгебра и алгебраическая топология....

Linear Data Filtering is noted as very common for use in practical applications. However, this important algorithm distorts the result, making a signal smoother than actually needed. Few steps of the described procedure, allow for the correction of the distortion. For proof of effectiveness,...

Johnson (1978) and Chen (1995) proposed some modified tests (Johnson's and Chen's respectively) to asses the mean of a positively skewed population. The tests they have been considered for any distribution ranging from normal to a distribution as asymmetric as an exponential. In this paper we...

While semisimple artinian rings and semisimple coalgebras over a field can be described in terms of matrices (either matrix ring over division rings or comatrix coalgebras over the ground field), semisimple corings seem to have a more intrincated structure in general. It turns out that some...

This paper deals with a class of lightlike manifolds, called globally null manifolds, which admit a single global null vector field and a complete Riemannian hypersurface. We study two types of warped products and propose some global problems on null sectional curvature, cut locus, Morse theory...

This paper deals with the curvature properties of a class of globally null manifolds (, ) which admit a global null vector field and a complete Riemannian hypersurface. Using the warped product technique we study the fundamental problem of finding a warped function such that the degenerate...

We study transformations preserving certain linear structure in Grassmannians and give some generalization of the Fundamental Theorem of Projective Geometry. This result is closely related to the geometrical interpretation of automorphisms of classical groups

A number of comparability theorems have been investigated from the viewpoint of reverse mathematics. Among these are various comparability theorems between countable well orderings ([2],[8]), and between closed sets in metric spaces ([3],[5]). Here we investigate the reverse mathematics of...

We present the concept of a universal contingent claim introduced by the author in 1995. This concept provides a unified framework for the analysis of a wide class of financial derivatives.A universal contingent claim describes the time evolution of a contingent payoff. In the simplest case of a...