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In this report, the explicit probability density functions of the random Euclidean distances associated with regular hexagons are given, when the two endpoints of a link are randomly distributed in the same hexagon, and two adjacent…

综合数学 · 数学 2021-01-26 Yanyan Zhuang , Jianping Pan

The ubiquity of optical coherence arising from its importance in everything from astronomy to photovoltaics means that underlying assumptions such as stationarity and ergodicity can become implicit. When these assumptions become implicit,…

量子物理 · 物理学 2024-04-23 Joscelyn van der Veen , Daniel James

We consider several appearances of the notion of convexity in Greek antiquity, more specifically in mathematics and optics, in the writings of Aristotle, and in art. The final version of this article will appear in the book `Geometry in…

历史与综述 · 数学 2019-05-22 Athanase Papadopoulos

Archaeological mirrors from the Olmec civilization were analyzed in the context of bibliography produced in the last two decades. Photographs of its images are showed as a proof of its good quality. Some suggestions are made on its probable…

科普物理 · 物理学 2007-05-23 J. J. Lunazzi

The situation of data sharing in astronomy is positioned in the current general context of a political push towards, and rapid development of, scientific data sharing. Data is already one of the major infrastructures of astronomy, thanks to…

天体物理仪器与方法 · 物理学 2018-08-08 Francoise Genova

We consider the incidence structure formed by the twelve pentagons given by the vertex neighborhoods of the icosahedron. Interpreting this structure purely in terms of coplanarity conditions, we show that -- up to projective equivalence --…

组合数学 · 数学 2026-03-23 Jürgen Richter-Gebert

In the Visual Heritage domain, search engines are expected to support archaeologists and curators to address cross-correlation and searching across multiple collections. Archaeological excavations return artifacts that often are damaged…

图形学 · 计算机科学 2018-04-12 Silvia Biasotti , Elia Moscoso Thompson , Michela Spagnuolo

We present an asymptotically optimal generalized measurement for the Classical information that is retrieved from a quantum tetrahedron is intrinsically fuzzy. We present an asymptotically optimal generalized measurement for the extraction…

广义相对论与量子宇宙学 · 物理学 2009-01-16 Daniel R. Terno

We describe a balance weight dated to the Early Islamic Period from the Hecht Museum at the University of Haifa (Israel) Its polyhedral shape was attributed to a truncated elongated octagonal bipyramid. To our knowledge, the earliest…

历史与综述 · 数学 2025-04-22 Eugene A. Katz

Various kinds of data are routinely represented as discrete probability distributions. Examples include text documents summarized by histograms of word occurrences and images represented as histograms of oriented gradients. Viewing a…

计算几何 · 计算机科学 2019-03-29 Herbert Edelsbrunner , Ziga Virk , Hubert Wagner

The analysis of cylindrical resonators is part of standard physics curricula but, unlike for their rectangular counterpart, their mode structure is hardly ever visualized. The aim of this work is to show a way of doing it, providing a set…

经典物理 · 物理学 2025-12-29 Brais Vila

This paper will extend a known relationship between the circumradius and dihedral angles of a tetrahedron in three-dimensional Euclidean space to three-dimensional affine space over a general field not of characteristic two, using only the…

度量几何 · 数学 2021-01-28 Gennady Arshad Notowidigdo

There is a widespread interest to digitize the precious information contained in the astronomical plate archives, both for the preservation of their content and for its fast distribution to all interested researchers in order to achieve…

天体物理学 · 物理学 2009-11-10 C. Barbieri

In classical analyses of $\gamma$-ray data from IACTs, such as H.E.S.S., aperture photometry, or photon counting, is applied in a (typically circular) region of interest (RoI) encompassing the source. A key element in the analysis is to…

天体物理仪器与方法 · 物理学 2019-12-04 Lars Mohrmann , Andreas Specovius , Domenico Tiziani , Stefan Funk , Dmitry Malyshev , Kaori Nakashima , Christopher van Eldik

The distributions of the random distances associated with hexagons, rhombuses and triangles have been derived and verified in the existing work. All of these geometric shapes are related to each other and have various applications in…

综合数学 · 数学 2013-07-05 Maryam Ahmadi , Jianping Pan

I present a jaunty little $[[14, 3, 3]]$ non-CSS surface code that can be described using a rhombic dodecahedron. Do with it what you will.

量子物理 · 物理学 2020-10-15 Andrew J. Landahl

Humans inevitably develop a sense of the relationships between objects, some of which are based on their appearance. Some pairs of objects might be seen as being alternatives to each other (such as two pairs of jeans), while others may be…

计算机视觉与模式识别 · 计算机科学 2015-06-17 Julian McAuley , Christopher Targett , Qinfeng Shi , Anton van den Hengel

With the present and soon-to-be breakthrough of optical interferometry, countless objects shall be within reach of interferometers; yet, most of them are expected to remain only marginally resolved with hectometric baselines. In this paper,…

天体物理学 · 物理学 2009-11-07 Regis Lachaume

Despite being one of the most recognisable buildings from ancient Rome, the Pantheon is poorly understood. While its architecture has been well studied, its function remains uncertain. This paper argues that both the design and the meaning…

物理学史与哲学 · 物理学 2015-11-10 Robert Hannah , Giulio Magli

We present a machine learning based information retrieval system for astronomical observatories that tries to address user defined queries related to an instrument. In the modern instrumentation scenario where heterogeneous systems and…