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We report on the results of the spectroscopy of 10 objects previously classified as brown dwarf candidates via RIJHK colors by Eisenbeiss et al. (2009), who performed deep imaging observations on a 0.4 sq.deg. field at the edge of the…

Solar and Stellar Astrophysics · Physics 2015-05-30 M. Seeliger , R. Neuhäuser , T. Eisenbeiss

We compare distance measurements obtained from two distance indicators, Super- novae observations (standard candles) and Baryon acoustic oscillation data (standard rulers). The Union2 sample of supernovae with BAO data from SDSS, 6dFGS and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Remya Nair , Sanjay Jhingan , Deepak Jain

Measuring device is proposed for determining a linear dimension. The device comprises three associated longitudinally moving parts one of which is a scale. The integer part of the device reading is being taken from the standard millimeter…

Instrumentation and Detectors · Physics 2014-11-25 Zaid A. I. Alsmadi , Ahmad B. B. Badry , Irfan A. Badruddin , T. M. Indra Mahlia

Let $\mathcal{S}$ be a finite set of integer points in $\mathbb{R}^d$, which we assume has many symmetries, and let $P\in\mathbb{R}^d$ be a fixed point. We calculate the distances from $P$ to the points in $\mathcal{S}$ and compare the…

Combinatorics · Mathematics 2023-09-28 Jack Anderson , Cristian Cobeli , Alexandru Zaharescu

Eclipsing binary systems with pulsating components offer a unique possibility to accurately measure the most important parameters of pulsating stars, to study their evolution, and to test the pulsation theory. I will show what we can learn…

Solar and Stellar Astrophysics · Physics 2018-07-04 Bogumił Pilecki

The luminous efficiency of meteors is poorly known, but critical for determining the meteoroid mass. We present an uncertainty analysis of the luminous efficiency as determined by the classical ablation equations, and suggest a possible…

Earth and Planetary Astrophysics · Physics 2017-04-28 Dilini Subasinghe , Margaret Campbell-Brown , Edward Stokan

Improved distance measurements to millisecond pulsars can enhance pulsar timing array (PTA) sensitivity to gravitational-waves, improve tests of general relativity with binary pulsars, improve constraints on fuzzy dark matter, and more.…

Instrumentation and Methods for Astrophysics · Physics 2024-06-12 Chiara M. F. Mingarelli , Lauren Anderson , Megan Bedell , David N. Spergel , Abigail Moran

Measuring the centroid of a spectral line is a common problem in astronomy. Many methods have been devised to overcome limitations due to either noise in the spectra or asymmetric profiles, the most common of which are the intensity…

Instrumentation and Methods for Astrophysics · Physics 2018-09-28 Richard Teague , Daniel Foreman-Mackey

Parallax measurements allow distances to celestial objects to be determined. Coupled with measurement of their position on the celestial sphere, it gives a full three-dimensional picture of the location of the objects relative to the…

Astrophysics · Physics 2015-06-24 M. V. Sazhin , V. E. Zharov , T. A. Kalinina

In this paper, we mainly consider the problem of spherical distribution of 5 points, that is, how to configure 5 points on a sphere such that the mutual distance sum attains the maximum. It is conjectured that the sum of distances is…

Discrete Mathematics · Computer Science 2009-06-05 Xiaorong Hou , Junwei Shao

The input to the distant representatives problem is a set of $n$ objects in the plane and the goal is to find a representative point from each object while maximizing the distance between the closest pair of points. When the objects are…

Computational Geometry · Computer Science 2021-08-18 Therese Biedl , Anna Lubiw , Anurag Murty Naredla , Peter Dominik Ralbovsky , Graeme Stroud

The Illumination Problem may be phrased as the problem of covering a convex body in Euclidean $n$-space by a minimum number of translates of its interior. By a probabilistic argument, we show that, arbitrarily close to the Euclidean ball,…

Metric Geometry · Mathematics 2016-02-24 Márton Naszódi

This paper presents a general approach for measuring distances between board games within the Ludii general game system. These distances are calculated using a previously published set of general board game concepts, each of which…

Artificial Intelligence · Computer Science 2023-01-11 Matthew Stephenson , Dennis J. N. J. Soemers , Éric Piette , Cameron Browne

Masses determined from classical Cepheids in binary systems are a primary test of both pulsation and evolutionary calculations. The first step is to determine the orbit from ground-based radial velocities. Complementary satellite data from…

Astrophysics of Galaxies · Physics 2015-05-14 Nancy Remage Evans

In addition to cosmological tests based on the mass function and clustering of galaxy clusters, which probe the growth of cosmic structure, nature offers two independent ways of using clusters to measure cosmic distances. The first uses…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-01 S. W. Allen , A. B. Mantz , R. G. Morris , D. E. Applegate , P. L. Kelly , A. von der Linden , D. A. Rapetti , R. W. Schmidt

Dempster-Shafer theory of evidence (D-S theory) is widely used in uncertain information process. The basic probability assignment(BPA) is a key element in D-S theory. How to measure the distance between two BPAs is an open issue. In this…

Artificial Intelligence · Computer Science 2013-11-19 Hongming Mo , Xiaoyan Su , Yong Hu , Yong Deng

A general review is given of the calibration of the Cepheid distance scale, with particular reference to its use in the determination of H0. Emphasis is placed on the advantage of using a galactic calibration of the Cepheid scale, rather…

Astrophysics · Physics 2007-05-23 Michael Feast

We study the problem of arithmetic billiards from a new perspective. We first raise a similar problem about reflecting lights inside grids. For the solution to this problem, we will give three proofs. Next, we consider a similar problem in…

Number Theory · Mathematics 2025-03-03 Yangcheng Li

This research paper aims to compare different methods for calculating the distance to the Large Magellanic Cloud (\textit{LMC}). The distance, $d_{LMC}$, is determined using stellar parallax, variable stars (RR Lyrae and Classical…

Astrophysics of Galaxies · Physics 2025-03-28 Juan José Sánchez Medina

What distributions arise as the distribution of the distance between two typical points in some measured metric space? This seems to be a surprisingly subtle problem. We conjecture that every distribution with a density function whose…

Probability · Mathematics 2024-03-19 David J. Aldous , Guillaume Blanc , Nicolas Curien