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The article contains some important classes of multisets. Combinatorial proofs of problems on the number of m-submultisets and m-permutations of multiset elements are considered and effective algorithms for their calculation are given. In…

General Mathematics · Mathematics 2020-09-04 Oleksandr Makhnei , Roman Zatorskii

It is currently impossible to determine the abundances and ages of the stellar populations of distant, dense stellar systems star by star. Therefore, methods to analyze the composite light of stellar systems are required. I review the…

Astrophysics · Physics 2007-05-23 S. C. Trager

This paper serves as a reference on how to estimate the parameters of binary stars and how to combine multiple techniques, namely astrometry, interferometry and radial velocities.

Solar and Stellar Astrophysics · Physics 2015-10-29 Daniel Bonneau , Florentin Millour , Anthony Meilland

A review on current observations of high-mass star formation is given, with a little bit of theoretical background. Particular emphasis is given to the, in my opinion, most important observations to put strong constraints on models of…

Astrophysics of Galaxies · Physics 2017-12-15 Peter Schilke

I briefly review recent observations of regions forming low mass stars. The discussion is cast in the form of seven questions that have been partially answered, or at least illuminated, by new data. These are the following: where do stars…

Astrophysics of Galaxies · Physics 2015-05-19 Neal J. Evans

The multiscale entropy assesses the complexity of a signal across different timescales. It originates from the biomedical domain and was recently successfully used to characterize light curves as part of a supervised machine learning…

Solar and Stellar Astrophysics · Physics 2022-10-12 Jeroen Audenaert , Andrew Tkachenko

We demonstrate that the mass of the most massive star in a cluster correlates non-trivially with the cluster mass. A simple algorithm according to which a cluster is filled up with stars that are chosen randomly from the standard IMF but…

Astrophysics · Physics 2009-11-13 Carsten Weidner , Pavel Kroupa

The fast classification of new variable stars is an important step in making them available for further research. Selection of science targets from large databases is much more efficient if they have been classified first. Defining the…

Astrophysics · Physics 2009-11-13 J. Debosscher , L. M. Sarro , C. Aerts , J. Cuypers , B. Vandenbussche , R. Garrido , E. Solano

A number of large spectroscopic surveys of stars in the Milky Way are under way or are being planned. In this context it is important to discuss the extent to which elemental abundances can be used as discriminators between different (known…

Astrophysics of Galaxies · Physics 2015-06-15 Lennart Lindegren , Sofia Feltzing

The formation of massive stars in close binary systems is complicated due to their high radiation pressure, the crowded environment and the expected minimum separation for fragmentation being many times greater than the orbital separation.…

Astrophysics · Physics 2007-05-23 Ian A. Bonnell

We present two approaches to determine the dynamical stability of a hierarchical triple-star system. The first is an improvement on the Mardling-Aarseth stability formula from 2001, where we introduce a dependence on inner orbital…

Solar and Stellar Astrophysics · Physics 2022-09-14 Pavan Vynatheya , Adrian S. Hamers , Rosemary A. Mardling , Earl P. Bellinger

We consider an analytic model of cosmic star formation which incorporates supernova feedback, gas accretion and enriched outflows, reproducing the history of cosmic star formation, metallicity, supernovae type II rates and the fraction of…

Astrophysics · Physics 2008-03-06 Marios Kampakoglou , Roberto Trotta , Joe Silk

We summarize some of the compelling new scientific opportunities for understanding stars and stellar systems that can be enabled by sub-milliarcsec (sub-mas) angular resolution, UV-Optical spectral imaging observations, which can reveal the…

In spite of significant recent and ongoing research efforts, most of the early evolution and long-term fate of young massive star clusters remain clouded in uncertainties. Here, I discuss our understanding of the initial conditions of star…

Solar and Stellar Astrophysics · Physics 2015-05-14 Richard de Grijs

Although rare, massive stars, being the main sources of ionizing radiation, chemical enrichment and mechanical energy in the Galaxy, are the most important objects of the stellar population. This review presents the many different aspects…

Astrophysics · Physics 2007-05-23 Yael Naze

We present a catalog of Galactic star clusters, associations and candidates with 10978 entries. This multi-band catalog was constructed over 20 years, starting with visual inspections on the Digital Sky Survey and incremented with the…

Astrophysics of Galaxies · Physics 2019-01-02 Eduardo Bica , Daniela B. Pavani , Charles J. Bonatto , Eliade F. Lima

The physics of stars, their workings and their evolution, is a goldmine of problems in statistical mechanics and thermodynamics. We discuss many examples that illustrate the possibility of deepening student's knowledge of statistical…

Statistical Mechanics · Physics 2009-10-31 R. Balian , J. -P. Blaizot

The origin of chemically peculiar stars remains enigmatic, especially regarding their frequency among their "normal" peers. In addition to magnetic fields and rotation, multiplicity may shed light on the question. We mention the main…

Solar and Stellar Astrophysics · Physics 2013-10-01 Pierre L. North

Current and future large astronomical surveys will yield multiparameter databases on millions or even billions of objects. The scientific exploitation of these will require powerful, robust, and automated classification tools tailored to…

Astrophysics · Physics 2007-05-23 C. A. L. Bailer-Jones