The dynamics of the upper solar photosphere was studied by using 1-D photospheric line spectrograms obtained using the VTT of the Observatorio del Teide. Three spectral lines with line core formation heights between 250 and 500 km were analyzed. It is clearly seen that at these levels the velocity and intensity fields are highly correlated but different from the lower lying zone where convectiv...

We show that in the Klein projective ball model of hyperbolic space, the hyperbolic Voronoi diagram is affine and amounts to clip a corresponding power diagram, requiring however algebraic arithmetic. By considering the lesser-known Beltrami hemisphere model of hyperbolic geometry, we overcome the arithmetic limitations of Klein construction. Finally, we characterize the bisectors and geodesics...

A new computational scheme is presented for calculation of sum frequency generation (SFG) spectra, based on the exciton model for OH bonds. The scheme is applied to unified analysis of the SFG spectra in the OH-stretch region of the surfaces of ice, liquid water, and acid solution. A significant role of intermolecularly coupled collective modes is pointed out. SFG intensity amplification observ...

We consider facility location problems where n facilities are present in a convex polygon the rectilinear plane, over which continuous and uniform demand is distributed within polygonal barrier located (removing all preventing travel barrier), optimal for an additional sought. start with in-depth analysis of representation bisectors two affected by how it position facility. Following this, deta...

An analysis is made of the spectral line shapes of τ Bootis using high resolution (0.026 Å) and high signal-to-noise (S/N ≈ 400) data in an effort to confirm the planet hypothesis for this star. Changes in the line shape are quantified using spectral line bisectors and line residuals. We detect no variations in either of these quantities above the level of the noise in the data. One spectral li...

We present results of magnetic field measurements in limb solar flare 12 July 2012 M7.7 class based analysis I ± V profiles Нα line. Our relate to moment 06:45:50 UT when top arcade reached ≈ 40 Mm according observations space observatory SDO. Observed have specific signs inhomogeneity, particular, unequal splitting bisectors on various distances from their centers. In general, increases line w...

Given a nite set L of lines in the plane we wish to compute the zone of an additional curve in the arrangement A(L), namely the set of faces of the planar subdivision induced by the lines in L that are crossed by , where is not given in advance but rather provided on-line portion by portion. This problem is motivated by the computation of the area bisectors of a polygonal set in the plane. We p...