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Astrometric surveys such as Gaia and LSST will measure parallaxes for hundreds of millions of stars. Yet they will not measure a single distance. Rather, a distance must be estimated from a parallax. In this didactic article, I show that…

天体物理仪器与方法 · 物理学 2016-03-09 C. A. L. Bailer-Jones

In determining the distances to stars within the Milky Way galaxy, one often uses photometric or spectroscopic parallax. In these methods, the type of each individual star is determined, and the absolute magnitude of that star type is…

天体物理仪器与方法 · 物理学 2014-11-24 Heidi Jo Newberg

By collecting distances from the literature, a set of 73 planetary nebulae with mean distances of high accuracy is derived. This sample is used for recalibration of the mass-radius relationship, used by many statistical distance methods. An…

天体物理学 · 物理学 2009-11-06 T. Bensby , I. Lundström

We propose simple schemes that can perfectly identify projective measurement apparatus secretly chosen from a finite set. Entanglements are used in these schemes both to make possible the perfect identification and to improve the efficiency…

量子物理 · 物理学 2007-05-23 Zhengfeng Ji , Yuan Feng , Runyao Duan , Mingsheng Ying

In this paper, we prove that two different observers don't equally measure the distance between two points A and B. For this, we introduce some postulates and obtain a new formula to show distance between A and B. In this formula, radius of…

综合物理 · 物理学 2007-05-23 M. Akbari , M. T. Darvishi

Detached eclipsing double line spectroscopic binaries offer an opportunity to measure directly stellar parameters: mass, luminosity, radius, as well as the distance. The only non-trivial step is the need to determine surface brightness of…

天体物理学 · 物理学 2007-05-23 Bohdan Paczynski

In the last few years, the so-called flyby anomaly has been widely discussed, but remains still an illusive topic. This is due to the harsh conditions experienced during an Earth flyby as well as due to the limited data available. In this…

广义相对论与量子宇宙学 · 物理学 2011-09-14 O. Bertolami , F. Francisco , P. J. S. Gil , J. Páramos

Interacting binaries typically have separations in the milli-arcsecond regime and hence it has been challenging to resolve them at any wavelength. However, recent advances in optical interferometry have improved our ability to discern the…

太阳与恒星天体物理 · 物理学 2010-05-06 R. T. Zavala , C. A. Hummel , D. A. Boboltz , R. Ojha , D. B. Shaffer , C. Tycner , M. T. Richards , D. J. Hutter

Distance transformation is an image processing technique used for many different applications. Related to a binary image, the general idea is to determine the distance of all background points to the nearest object point (or vice versa). In…

计算机视觉与模式识别 · 计算机科学 2023-02-27 Tilo Strutz

We present the model for determination of pulsar distances or average electron distribution using a method similar to the widely used dependence of A$_V$ on distances in different directions. To have reliable pulsar distances, we have used…

天体物理学 · 物理学 2007-05-23 Oktay H. Guseinov , Efe Yazgan , Sevinc Tagieva , Aybuke Kupce Yoldas

The present status of our knowledge of the distances to the Magellanic Clouds is evaluated from a post-Hipparcos perspective. After a brief summary of the effects of structure, reddening, age and metallicity, the primary distance indicators…

天体物理学 · 物理学 2016-01-27 Alistair R. Walker

Given a point (the "spider") on a rectangular box, we would like to find the minimal distance along the surface to its opposite point (the "fly" - the reflection of the spider across the center of the box). Without loss of generality, we…

微分几何 · 数学 2015-02-05 S. Michael Miller , Edward F. Schaefer

The light deflection of one component of a binary system due to the gravitational field of the other component is investigated. While this relativistic effect has not been observed thus far, the question arises that whether this effect…

太阳与恒星天体物理 · 物理学 2015-06-11 Sven Zschocke

It is known that a reliable geometric quantifier of discord-like correlations can be built by employing the so-called trace distance. This is used to measure how far the state under investigation is from the closest "classical-quantum" one.…

量子物理 · 物理学 2014-01-24 F. Ciccarello , T. Tufarelli , V. Giovannetti

The Magellanic Clouds, especially the Large Magellanic Cloud, are places where multiple distance indicators can be compared with each other in a straight-forward manner at considerable precision. We here review the distances derived from…

星系天体物理 · 物理学 2015-06-03 Alistair R Walker

The distance of closest approach of hard particles is a key parameter of their interaction and plays an important role in the resulting phase behavior. For non-spherical particles, the distance of closest approach depends on orientation,…

数学物理 · 物理学 2009-11-19 Xiaoyu Zheng , Peter Palffy-Muhoray

We infer distances and their asymmetric uncertainties for two million stars using the parallaxes published in the Gaia DR1 (GDR1) catalogue. We do this with two distance priors: A minimalist, isotropic prior assuming an exponentially…

星系天体物理 · 物理学 2016-12-21 Tri L. Astraatmadja , Coryn A. L. Bailer-Jones

Let $\mathbb{F}_p$ be a prime field, and ${\mathcal E}$ a set in $\mathbb{F}_p^2$. Let $\Delta({\mathcal E})=\{||x-y||: x,y \in {\mathcal E} \}$, the distance set of ${\mathcal E}$. In this paper, we provide a quantitative connection…

组合数学 · 数学 2019-05-13 Alex Iosevich , Doowon Koh , Thang Pham

Motivated by putting empirical work based on (synthetic) election data on a more solid mathematical basis, we analyze six distances among elections, including, e.g., the challenging-to-compute but very precise swap distance and the distance…

计算机科学与博弈论 · 计算机科学 2022-05-03 Niclas Boehmer , Piotr Faliszewski , Rolf Niedermeier , Stanisław Szufa , Tomasz Wąs

The setting for this brief paper is R^3. Distance between two spheres is understood as distance delta between spherical centers. For instance, a Reuleaux tetrahedron T is the intersection of four unit balls satisfying delta=1 pairwise.…

度量几何 · 数学 2013-01-24 Steven R. Finch