study of the potential fields at different altitudes, constituting a multiscale field is a class of interpretative methods which are used to approximate depth and geometry of sources. interpretation of potential fields by this class of methods is mainly based on the recognition that the gravity or magnetic fields, generated by ideal sources (point mass, line of mass, sheet and contact) are homo...

We show that for a given set S of 2n points in general position in the plane, there is a cubic 3-connected crossing-free geometric graph on the vertex set S if and only if the interior of the convex hull of S contains at least n − 1 points of S. We also give similar results for sets of odd cardinality. Analogous partial results are given if the 3-connected crossing-free geometric graph is not r...

The degenerate crossing number cr∗(G) of a graph G is the minimum number of crossing points of edges in any drawing of G as a simple topological graph in the plane. This notion was introduced by Pach and Tóth who showed that for a graph G with n vertices and e ≥ 4n edges cr∗(G) = Ω(e/n). In this paper we completely resolve the main open question about degenerate crossing numbers and show that c...

we describe a variational problem on a surface under a constraintof geometrical character. necessary and sufficient conditions for the existence ofbifurcation points are provided. in local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. the problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.

The present work describes three spectrophotometric methods for determining two phytoconstituent berberine hydrochloride and eugenol in formulated gels: simultaneous equation method, absorbance correction, zero-crossing derivative method. In the at 263 nm 280 correction method 345 were measured applied to their respective estimation of phosphate buffer emulgel. amplitudes first spectra 252.5 26...

1. introduction rainfall intensity and duration are one of the most important factors in the occurrence of landslides; therefore, nowadays rainfall is recognized as the most common and triggering factor in the occurrence of landslides. since raw data of landslide displacement is very important to researchers in order to study the deformation process and laws of landslide displacement, the globa...