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A regular polyhedron of type {p, q} has at least 2pq flags, and it is called tight if it has exactly 2pq flags. The values of p and q for which there exist tight orientably regular polyhedra were previously known. We determine for which…

Combinatorics · Mathematics 2016-04-12 Gabe Cunningham , Daniel Pellicer

The X-ray of a permutation is defined as the sequence of antidiagonal sums in the associated permutation matrix. X-rays of permutation are interesting in the context of Discrete Tomography since many types of integral matrices can be…

Combinatorics · Mathematics 2007-05-23 Cecilia Bebeacua , Toufik Mansour , Alexander Postnikov , Simone Severini

Entanglement is a fundamental feature of quantum mechanics, considered a key resource in quantum information processing. Measuring entanglement is an essential step in a wide range of applied and foundational quantum experiments. When a…

This work provides two sufficient conditions in terms of sections or projections for a convex body to be a polytope. These conditions are necessary as well.

Metric Geometry · Mathematics 2021-10-05 Sergii Myroshnychenko

A formalism to evaluate the resonant states produced by two particles moving outside a closed shell core is presented. The two particle states are calculated by using a single particle representation consisting of bound states, Gamow…

Nuclear Theory · Physics 2009-11-07 R. Id Betan , R. J. Liotta , N. Sandulescu , T. Vertse

In this paper we discuss various possibilities of using X-ray observations to gain information about the large-scale structure of the Universe. After reviewing briefly the current status of these investigations we explore different ways of…

Astrophysics · Physics 2007-05-23 X. Barcons , F. J. Carrera , M. T. Ceballos , S. Mateos

We show the rather counterintuitive result that entangled input states can strictly enhance the distinguishability of two entanglement-breaking channels.

Quantum Physics · Physics 2009-11-11 Massimiliano F. Sacchi

We review the multiwavelength properties of the few known gamma-ray binaries, focusing on extended emission recently resolved with Chandra. We discuss the implications of these findings for the nature of compact objects and for physical…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Oleg Kargaltsev , Blagoy Rangelov , Jeremy Hare , George G. Pavlov

We classify the faces of copositive and completely positive cones over a second-order cone and investigate their dimension and exposedness properties. Then we compute two parameters related to chains of faces of both cones. At the end, we…

Optimization and Control · Mathematics 2026-04-17 Mitsuhiro Nishijima , Bruno F. Lourenço

Two experiments were made using a microwave generator, which sent a narrow beam, through a metallic plate with horizontal movement. At the other end a horn antenna coupled to a field-strength detector. In linear polarization double cycloids…

General Physics · Physics 2007-05-23 Victor M. Urbina

X-ray observations of clusters provide key information on the dark matter, on the formation of structures in the Universe, and can be used to constrain the cosmological parameters. I review our current knowledge, with emphasis on recent XMM…

Astrophysics · Physics 2007-05-23 M. Arnaud

A bipartite multiphoton entangled state is created through stimulated parametric down-conversion of strong laser pulses in a nonlinear crystal. It is shown how detectors that do not resolve photon number can be used to analyze such…

Quantum Physics · Physics 2007-05-23 H. S. Eisenberg , G. Khoury , G. A. Durkin , C. Simon , D. Bouwmeester

We construct an explicit model where it can be established if a two mode pure Gaussian system is entangled or not by acting only on one of the parts that constitute the system. Measuring the dispersion in momentum and the time evolution of…

Quantum Physics · Physics 2009-11-07 G. Rigolin , C. O. Escobar

We provide several diagrams for the graphical determination of certain elements of a Gaussian beam based on prior knowledge of other elements. For example, these diagrams allow us to determine the plane of the beam waist and the Rayleigh…

Optics · Physics 2026-01-27 Pierre Pellat-Finet

We classify edge-to-edge tilings of the sphere by congruent almost equilateral pentagons, in which four edges have the same length. Together with our earlier classifications of edge-to-edge tilings of the sphere by congruent equilateral…

Combinatorics · Mathematics 2024-02-09 Hoi Ping Luk , Min Yan

We classify rational solutions of a specific type of the set theoretical version of the pentagon equation. That is, we find all quadrirational maps $R:(x,y)\mapsto (u(x,y),v(x,y)),$ where $u, v$ are two rational functions on two arguments,…

Exactly Solvable and Integrable Systems · Physics 2024-09-27 Charalampos Evripidou , Pavlos Kassotakis , Anastasios Tongas

Treating images as data has become increasingly popular in political science. While existing classifiers for images reach high levels of accuracy, it is difficult to systematically assess the visual features on which they base their…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Stefan Scholz , Nils B. Weidmann , Zachary C. Steinert-Threlkeld , Eda Keremoğlu , Bastian Goldlücke

In this paper we study resolutions which arise as iterated mapping cones.

Commutative Algebra · Mathematics 2007-05-23 Juergen Herzog , Yukihide Takayama

As is known, resonant scattering can distort the surface-brightness profiles of clusters of galaxies in X-ray lines. We demonstrate that the scattered line emission should be polarized and possibly detectable with near-future X-ray…

Astrophysics · Physics 2009-11-07 S. Sazonov , E. Churazov , R. Sunyaev

We calculate the decay of pionium atoms into two photons. The pion polarizability gives rise to a 10% correction to the corresponding decay width for pointlike pions. This opens the possibility to obtain the difference between the electric…

High Energy Physics - Phenomenology · Physics 2011-07-19 H. -W. Hammer , J. N. Ng