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In the paper, there are new found methods to determine the range of every exceptional element in exceptional set, we can solve Twin primes problem and Goldbach Conjecture problem basically.

General Mathematics · Mathematics 2007-05-23 Goldtwe Anihc , Baishi Wang

This paper describes the construction of the first explicitly known widely digitally delicate prime.

Number Theory · Mathematics 2025-03-20 Jon Grantham

In this work we report spectrophotometric observations of a planetary nebula sample towards the galactic bulge. A total of 45 PNe was observed and their physical parameters (electron density and temperature) were derived. Ionic abundances…

Astrophysics · Physics 2009-11-07 A. V. Escudero , R. D. D. Costa

A Neutrino Unbound gem (http://www.to.infn.it/~giunti/NU). Essential information (formulas, figures, tables, references, etc.) on solar neutrinos.

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Giunti , M. Laveder

From the disk of normal galaxies to the nucleus of prototype active sources, we review the wealth of results and new understanding provided by recent infrared probes and, in particular, the four instruments on-board of ISO.

Astrophysics · Physics 2009-10-31 C. J. Cesarsky , M. Sauvage

Star-to-star variations in abundances of the light elements carbon, nitrogen, oxygen, and sodium have been observed in stars of all evolutionary phases in all Galactic globular clusters that have been thoroughly studied. The data available…

Astrophysics of Galaxies · Physics 2011-05-26 Sarah L. Martell

This article relates two topics of central importance in modern astronomy - the discovery some fifteen years ago of the first planets around other stars (exoplanets), and the centuries-old problem of understanding the origin of our own…

Earth and Planetary Astrophysics · Physics 2011-11-08 Michael Perryman

This is a survey of recent and classical results concerning various types of homogeneity, such as n-homogeneity, discrete homogeneity, and countable dense homogeneity. Some new results are also presented, and several problems are posed.

General Topology · Mathematics 2024-07-17 Vitalij A. Chatyrko , Alexandre Karassev

In a series of three papers, we investigate the current status of published metallicities for open clusters that were derived from a variety of photometric and spectroscopic methods. The current article focuses on spectroscopic methods. The…

Astrophysics of Galaxies · Physics 2014-01-10 U. Heiter , C. Soubiran , M. Netopil , E. Paunzen

The announcement by the IceCube Collaboration of the observation of 28 cosmic neutrino candidates has been greeted with a great deal of justified excitement. The data reported so far depart by 4.3\sigma from the expected atmospheric…

We review the discovery of reflection positivity. We also explain a new geometric approach and proof of the reflection positivity property.

History and Overview · Mathematics 2018-02-23 Arthur Jaffe

This paper is devoted to present the results of creation of gold nanoparticles on titanium surface. We focused on the problem how to create gold nanoparticles on the titanium surface with defined particle size and distribution, which could…

Materials Science · Physics 2017-01-09 I. Csarnovics , P. Hajd , S. Biri , Cs. Hegedűs , S. Kokényesi , R. Rácz , A. Csik

Carbon is one of the most abundant metals in the universe because of its synthesis in the fundamental triple alpha reaction. The knowledge of carbon abundances in different environments is one key ingredient to our understanding of stellar…

Astrophysics · Physics 2007-05-23 M. F. Nieva , N. Przybilla

Since the discovery of high Tc iron-based superconductors in early 2008, more than 15,000 papers have been published as a result of intensive research. This paper describes the current status of iron-based superconductors (IBSC) covering…

Superconductivity · Physics 2015-06-11 Hideo Hosono , Kazuhiko Kuroki

This paper addresses recent experimental findings about luminescence of a gold tip in near-field interaction with a gold surface. Our electrochemically etched gold tips show a typical, intrinsic luminescence that we exploit to track the…

Materials Science · Physics 2016-01-05 A. Merlen , J. Plathier , A. Ruediger

Motivated by recent experiments [Ward et al., Nature Nanotech. 5, 732 (2010)], we present here a theoretical analysis of the optical response of sharp gold electrodes separated by a subnanometer gap. In particular, we have used classical…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Antonio Garcia-Martin , Daniel R. Ward , Douglas Natelson , Juan Carlos Cuevas

A classification of discrete polymatroids whose independence polytopes are reflexive will be presented.

Combinatorics · Mathematics 2023-02-27 Jürgen Herzog , Takayuki Hibi

Low-temperature scanning tunneling microscopy is used here to study dynamic bonding of gold atoms on surfaces under low coordination conditions. In the experiments, using an atomically-sharp gold tip, a gold adatom is deposited onto a gold…

Materials Science · Physics 2022-10-05 W. Dednam , S. Tewari , E. B. Lombardi , J. J. Palacios , J. M. van Ruitenbeek , C. Sabater

We pose and answer several questions concerning the number of ways to fold a polygon to a polytope, and how many polytopes can be obtained from one polygon; and the analogous questions for unfolding polytopes to polygons. Our answers are,…

Computational Geometry · Computer Science 2007-05-23 Erik D. Demaine , Martin L. Demaine , Anna Lubiw , Joseph O'Rourke

A search was conducted for a hot intragroup medium in 109 low-redshift galaxy groups observed with the ROSAT PSPC. Evidence for diffuse, extended X-ray emission is found in at least 61 groups. Approximately one-third of these detections…

Astrophysics · Physics 2016-08-30 John S. Mulchaey , David S. Davis , Richard F. Mushotzky , David Burstein