The SETI Ellipsoid is a geometric method for prioritizing technosignature observations based on the strategy of receiving signals synchronized to conspicuous astronomical events. Precise distances nearby stars from Gaia makes constraining crossing times possible. Here we explore utility using Catalog Nearby Stars select targets SN 1987A Ellipsoid, as well Ellipsoids defined by 278 classical nov...

This paper studies the problem of target control and how a virtual ellipsoid can avoid static obstacle. During motion to set, achieve under collision avoidance by keeping distance between We present solutions this in class closed-loop (feedback) controls based on Hamilton–Jacobi–Bellman (HJB) equation. Simulation results verify validity effectiveness our algorithm.

in the past, rock slope stability analysis were performed either graphically or using a hand-held calculator, but nowadays there are variety of slope stability analysis which can be used according to the field condition and potential failure mode. in 2-d analysis, effect of convex and concave walls are neglected, however concave slopes are believed to be more stable than straight walls due to t...

In this paper we prove the following results concerning the product f1f2 of two concave functions f1and f2 defined in a non empty, compact, convex set K of R. The first result states that necessary and sufficient condition for the product f1f2 of two linear affine functions to be concave is that they are Gonzi. Finally the main result says that a necessary and sufficient condition for the produ...

We prove new entropy inequalities for log concave and s-concave functions that strengthen and generalize recently established reverse log Sobolev and Poincaré inequalities for such functions. This leads naturally to the concept of f -divergence and, in particular, relative entropy for s-concave and log concave functions. We establish their basic properties, among them the affine invariant valua...