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Let $K_1, K_2$ be two compact convex sets in $\mathit{C}$. Their Minkowski product is the set $K_1K_2 = \{ab: a \in K_1, b\in K_2\}$. We show that the set $K_1K_2$ is star-shaped if $K_1$ is a line segment or a circular disk. Examples for…

Metric Geometry · Mathematics 2015-05-21 Chi-Kwong Li , Diane Christine Pelejo , Yiu-Tung Poon , Kuo-Zhong Wang

We present the first results of applying Gaussian Mixture Models in the stellar kinematic space of normalized angular momentum and binding energy on NIHAO high resolution galaxies to separate the stars into multiple components. We exemplify…

Astrophysics of Galaxies · Physics 2018-05-02 Aura Obreja , Andrea V. Macciò , Benjamin Moster , Aaron A. Dutton , Tobias Buck , Gregory S. Stinson , Liang Wang

The spectrum of the infinite dimensional Neumann matrices M^{11}, M^{12} and M^{21} in the oscillator construction of the three-string vertex determines key properties of the star product and of wedge and sliver states. We study the…

High Energy Physics - Theory · Physics 2009-11-07 Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

Motivated by the possible existence of other universes, with possible variations in the laws of physics, this paper explores the parameter space of fundamental constants that allows for the existence of stars. To make this problem…

Astrophysics · Physics 2009-11-13 Fred C. Adams

We consider finite point subsets (distributions) in compact metric spaces. Non-trivial bounds for sums of distances between points of distributions and for discrepancies of distributions in metric balls are given in the case of general…

Combinatorics · Mathematics 2015-12-02 M. M. Skriganov

Our aim is to investigate spaces with sigma-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the differences between these classes while answering questions of…

General Topology · Mathematics 2012-10-19 Daniel T. Soukup , Lajos Soukup , Santi Spadaro

Using a simple color selection based on B-, z- and K-band photometry, BzK= (z-K)_AB-(B-z)_AB>-0.2, we picked out 52 star-forming galaxies at 1.4<z<2.5 (sBzKs) from a K-band selected sample (K_Vega<22.0) in an area of ~5.5 arcmin^2 of the…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-15 Xu Kong , Wei Zhang , Min Wang

Parameters and abundances for 1133 stars of spectral types F, G, and K of luminosity class III have been derived. In terms of stellar parameters, the primary point of interest is the disagreement between gravities derived with masses…

Solar and Stellar Astrophysics · Physics 2015-09-16 R. Earle Luck

Hydrodynamical simulations of star formation often do not possess the dynamic range needed to fully resolve the build-up of individual stars and star clusters, and thus have to resort to subgrid models. A popular way to do this is by…

Instrumentation and Methods for Astrophysics · Physics 2017-01-18 Mattia C. Sormani , Robin G. Treß , Ralf S. Klessen , Simon C. O. Glover

We have made a new compilation of observations of maximum stellar mass versus cluster membership number from the literature, which we analyse for consistency with the predictions of a simple random drawing hypothesis for stellar mass…

Astrophysics · Physics 2009-11-13 Th. Maschberger , C. J. Clarke

We consider mixed normed Bergman spaces on homogeneous Siegel domains. In the literature, two different approaches have been considered and several results seem difficult to be compared. In this paper we compare the results available in the…

Complex Variables · Mathematics 2023-11-13 Mattia Calzi , Marco M. Peloso

We consider finite point subsets (distributions) in compact metric spaces. In the case of general rectifiable metric spaces, non-trivial bounds for sums of distances between points of distributions and for discrepancies of distributions in…

Metric Geometry · Mathematics 2017-01-17 M. M. Skriganov

An observational survey of stars selected from the region of sky in the direction of the Galactic bulge is presented. We discuss the choice of tracer populations for this study. Digitised UK Schmidt plate photometry, calibrated with CCD…

Astrophysics · Physics 2015-06-24 Rodrigo Ibata , Gerard Gilmore

Methods to determine abundances of the elements in the atmospheres of F, G, and K stars with precisions of 0.01-0.03 dex are reviewed. Such high-precision stellar abundances have led to the discovery of unexpected phenomena and relations…

Solar and Stellar Astrophysics · Physics 2018-11-06 Poul Erik Nissen , Bengt Gustafsson

I discuss our current understanding of the nature of high-redshift (z > 2) (sub)-millimetre-selected galaxies, with a particular focus on whether their properties are representative of, or dramatically different from those displayed by the…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-30 James S. Dunlop

It is now known that minor mergers are capable of creating structure in the phase-space distribution of their host galaxy's disc. In order to search for such imprints in the Milky Way, we analyse the SEGUE F/G-dwarf and the Schuster et al.…

Recently, Cristofaro-Gardiner and Hutchings proved that there exist at least two closed characteristics on every compact star-shaped hypersuface in ${\bf R}^4$. Then Ginzburg, Hein, Hryniewicz, and Macarini gave this result a second proof.…

Dynamical Systems · Mathematics 2014-07-04 Hui Liu , Yiming Long

We study a large galaxy sample from the Spitzer Matching Survey of the UltraVISTA ultra-deep Stripes (SMUVS) to search for sources with enhanced 3.6 micron fluxes indicative of strong Halpha emission at z=3.9-4.9. We find that the…

We model the dynamical evolution of star forming regions with a wide range of initial properties. We follow the evolution of the regions' substructure using the Q-parameter, we search for dynamical mass segregation using the Lambda_MSR…

Astrophysics of Galaxies · Physics 2015-06-17 Richard J. Parker , Nicholas J. Wright , Simon P. Goodwin , Michael R. Meyer

A star anagram is a rearrangement of the letters of one word to produce another word where no letter retains its original neighbors. These maximally shuffled anagrams are rare, comprising only about 5.7% of anagrams in English. They can…

Other Computer Science · Computer Science 2025-07-08 Jason Parker , Dan Barker
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