In this investigation a suitable algorithm for the detection of cracks in the pressure vessels is presented. The equations of motion for the vessel are obtained and transferred into the wavelet space in a simplified form resulted from time and position approximations. The locations of cracks are randomly distributed in different regions of the structure to cover the whole geometry of the pressu...

Reading is a multidimensional phenomenon, being not only tool for receiving information about the world, but also an instrument of ethical and aesthetic education, way spending leisure time. The volume reading characterizes personality, indicates erudition, interests, behavioral features. In ancient times books were available to few, attitude towards them was serious. antiquity it recommended c...

We propose a scheme to interpolate between a set of two or more 3-dimensional triangulated meshes with corresponding connectivity. The principle behind this is that meshes, when viewed as vectors of edge lengths, can be seen as points in a Euclidean shape space. Within this space, mesh interpolation corresponds to traversing straight lines between points, and due to the Euclidean structure of t...

In the first part we study general properties of the metrics obtained by isometrically identifying a generic metric space with a subset of a Banach space; we obtain a rigidity result. We then discuss the Hausdorff distance, proposing some less–known but important results: a closed–form formula for geodesics; generically two compact sets are connected by a continuum of geodesics. In the second p...

The Rotation-Modified Korteweg-deVries (RMKdV) equation differs from the ordinary KdV equation only through an extra undifferentiated term due to Coriolis force. This article describes the steadily-travelling, spatially-periodic solutions which have peaks of identical size. These generalize the “cnoidal” waves of the KdV equation. There are five overlapping regimes in the parameter space. We de...