Interstellar dust plays an important role in the formation of molecular gas and heating cooling interstellar medium. The spatial distribution mm-wavelength emission from galaxies is largely unexplored. NIKA2 Guaranteed Time Project IMEGIN (Interpreting Millimeter Emission Galaxies with IRAM NIKA2) has recently mapped mm grand design spiral galaxy NGC6946. By subtracting contributions free-free,...

This paper studies separating subsets of an invariant ring or, more generally, of any set consisting of functions. We prove that a subset of a finitely generated algebra always contains a finite separating subset. We also show that a general version of Noether’s degree bound holds for separating invariants, independently of the characteristic. The paper also contains a conceptual investigation ...

In this paper we compare the method of Lagrangian descriptors with classical Poincare maps for revealing phase space structure two degree-of-freedom Hamiltonian systems. The comparison is carried out by considering dynamics a system having valley ridge inflection point (VRI) potential energy surface. VRI surfaces have four critical points: high saddle and lower separating wells. between points ...

A graph $G$ is a non-separating planar if there drawing $D$ of on the plane such that (1) no two edges cross each other in and (2) for any cycle $C$ $D$, vertices not are same side $D$.
 Non-separating graphs closed under taking minors subclass superclass outerplanar graphs.
 In this paper, we show only it does contain $K_1 \cup K_4$ or K_{2,3}$ $K_{1,1,3}$ as minor.
 Furthermore...