A systematic analysis of the $\alpha$ + core structure is performed in ground state bands even-even nuclei $22 \leq Z 42$ region terms Local Potential Model. The interaction described by nuclear potential (1 Gaussian)$\times$(W.S. W.S.$^3$) shape with 2 free parameters. Properties such as energy levels, reduced $\alpha$-widths, $B(E2)$ transition rates and rms charge radii are calculated compar...

In this paper a framework for defining scale-spaces, based on the computational geometry concepts of α-shapes, is proposed. In this approach, objects (curves or surfaces) of increasing convexity are computed by selective sub-sampling, from the original shape to its convex hull. The relationships with the Empirical Mode Decomposition (EMD), the curvature motion-based scale-space and some operato...

The Voronoi diagram of a point set has been extensively used in various disciplines ever since it was first proposed. Its application realms have been even further extended to estimate the shape of point clouds when Edelsbrunner and Mücke introduced the concept of α-shape based on the Delaunay triangulation of a point set. In this paper, we present the theory of β-shape for a set of three-dimen...

We study the observational constraints on single-field inflationary models achievable with next generation of cosmic microwave background (CMB) experiments. focus a Stage IV (S4)-like experiment and forecast its parameters in context $\ensuremath{\alpha}$-attractor inflation comprising large class models. To tailor our forecasts, we use as fiducial model results obtained current CMB LSS data, a...

background and aim: horseshoe placenta is a variant of ring-shaped placenta. ring-shaped placenta is a rare anomaly seen in fewer than 1 in 6000 deliveries, which could be seen as horseshoe shape due to atrophy in a portion of the ring. this report refers to a possible relationship between the horseshoe shape placenta and preterm labor; although it has not been yet validated in the literature. ...

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In order to investigate the near wing of Lyman-alpha line, accurate line profile calculations and molecular data are both required due existence a close satellite responsible for its asymmetrical shape. lines observed with Cosmic Origin Spectograph (COS) on Hubble Space Telescope ( HST) show this peculiarity in spectra DBA DA white dwarf stars. A similar shape blue can be predicted Balmer-alpha...