vspace{0.2cm}In this paper, we design a data structure for the following problem. Let $pi$ be an $x$-monotone trajectory with $n$ vertices in the plane and $epsilon >0$. We show how to preprocess $pi$ and $epsilon$ into a data structure such that for any horizontal query segment $Q$ in the plane, one can quickly determine the minimal continuous fraction of $pi$ whose Fr{'e}chet and Hausdo...

Aims. This paper aims to track the three-dimensional (3D) evolution of a full halo coronal mass ejection (CME) on 2011 June 21. Methods. The CME results from nonradial eruption filament-carrying flux rope in NOAA active region 11236. was observed extreme-ultraviolet (EUV) wavelengths by imager (EUVI) board ahead and behind Solar TErrestrial RElations Observatory (STEREO) spacecrafts atmospheric...

We improve the model presented in Contini & Gu that describes radial mass distribution of brightest cluster galaxies (BCGs) and diffuse component also known as intracluster light (ICL), by assuming global BCG+ICL follows sum three profiles: Jaffe exponential profiles for bulge disk BCG, respectively, a modified version an NFW profile ICL. take advantage wide sample systems simulated with our st...

Abstract In this article, we evaluate determinants of “block hook” matrices, which are block matrices consist hook matrices. particular, deduce that the determinant a matrix factorizes nicely. addition give combinatorial interpretation aforesaid factorization property by counting weighted paths in suitable digraph.

We extend the result obtained in [3] to every Renner monoid: we provide Renner monoids with a monoid presentation and we introduce a length function which extends the Coxeter length function and which behaves nicely.

We consider some classical constructions of graphs: join of two graphs, duplication of a vertex, and show that they behave nicely from the point of view of the existence of kernels. c © 1999 Elsevier Science B.V. All rights reserved.

We discuss a certain class of absolutely irreducible group representations that behave nicely under the restriction to normal subgroups and subalgebras. Interrelations with doubly transitive permutation groups and hyperelliptic jacobians are discussed.

We give a tracker solution for the quintessence scalar field for Ratra–Peebles or SUGRA potentials, holding before, during and after the equality epoch (ρm = ρr) and nicely fitting the numerical behavior.

We show that application of self-induced transparency (SIT) solitons as a driving field in V-type electromagnetically induced transparency (EIT) leads to ;;mixed induced transparency' (MIT) that nicely combines the best features of both SIT and EIT.