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New hard magnetic materials with zero or low rare earth content are in demand due to the high prices of the rare earth metals. Among the candidates for such materials, we consider MnB, FeB and their alloys, because previous experiments…

Materials Science · Physics 2024-06-25 Justyn Snarski-Adamski , Mirosław Werwiński

The relationship between stars and planets provides important information for understanding the interior composition, mineralogy, and overall classification of small planets (R $\lesssim$ 3.5R$_{\oplus}$). Since stars and planets are formed…

Earth and Planetary Astrophysics · Physics 2024-05-12 Natalie R. Hinkel , Edward D. Young

We provide textual evidence on divisibility and primality in the ancient Vedic texts of India. Concern with divisibility becomes clear from the listing of all the fifteen pairs of divisors of the number 720. The total number of pairs of…

History and Overview · Mathematics 2011-01-04 Subhash Kak

This chapter provides a brief introduction to the chemical composition of the Sun. The focus of the chapter is on results obtained from the physical analysis of the solar photosphere. Data obtained from meteorites, solar wind and corona…

Solar and Stellar Astrophysics · Physics 2025-03-10 Maria Bergemann , Katharina Lodders , Herbert Palme

The cosmic origin of fluorine, the ninth element of the Periodic Table, is still under debate. The reason for this fact is the large difficulties in observing stellar diagnostic lines, which can be used for the determination of the fluorine…

Solar and Stellar Astrophysics · Physics 2020-12-23 Nils Ryde

Arithmetical congruence monoids, which arise in non-unique factorization theory, are multiplicative monoids $M_{a,b}$ consisting of all positive integers $n$ satsfying $n \equiv a \bmod b$. In this paper, we examine the asymptotic behavior…

Number Theory · Mathematics 2023-06-06 Jacob Hartzer , Christopher O'Neill

Oxygen (O) and carbon (C) have been inferred recently to be subsolar in abundance from spectra of the atmosphere of the transiting hot Jupiter HD 189733b. Yet, the mass and radius of the planet coupled with structure models indicate a…

Currently, forty-two thallium, forty-two lead, forty-one bismuth, and forty-two polonium isotopes have so far been observed; the discovery of these isotopes is discussed. For each isotope a brief summary of the first refereed publication,…

Nuclear Experiment · Physics 2015-06-03 C. Fry , M. Thoennessen

Dependence of phenomenological properties of Cepheids on the heavy element abundance is studied. It is found that the amplitude of the pulsation depends on the metallicity of the stellar atmosphere.

Astrophysics · Physics 2007-05-23 P. Klagyivik , L. Szabados

In this paper, we give some generalizations the concept of element order and we study some of the properties of these generalized order. In particular, with using this generalization we derive two solvability criteria.

Group Theory · Mathematics 2020-03-24 Mohsen Amiri

The purpose of this note is to study the number of elements in Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone.

Algebraic Geometry · Mathematics 2016-01-20 Piotr Pokora , Tomasz Szemberg

Atomic clocks use atomic transitions as frequency references. The susceptibility of the atomic transition to external fields limits clock stability and introduces systematic frequency shifts. Here, we propose to realize an atomic clock that…

Atomic Physics · Physics 2017-09-06 Nitzan Akerman , Roee Ozeri

We map the trends of elemental abundance ratios across the Galactic disk, spanning R = 3-15 kpc and midplane distance |Z|= 0-2 kpc, for 15 elements in a sample of 20,485 stars measured by the SDSS/APOGEE survey (O, Na, Mg, Al, Si, P, S, K,…

Theoretical physical-chemical models for the formation of planetary systems depend on data quality for the Sun's composition, that of stars in the solar neighbourhood, and of the estimated "pristine" compositions for stellar systems. The…

We offer an introduction for mathematicians to the univalent foundations of Vladimir Voevodsky, aiming to explain how he chose to encode mathematics in type theory and how the encoding reveals a potentially viable foundation for all of…

Logic · Mathematics 2018-03-12 Daniel R. Grayson

A ring $R$ is periodic provided that for any $a\ in R$ there exist distinct elements $m,n \in {\Bbb N}$ such that $a^m=a^n$. We shall prove that periodicity is inherited by a type of generalized matrix rings.We define strongly periodic…

Rings and Algebras · Mathematics 2016-03-25 Huanyin Chen , Marjan Sheibani Abdolyousefi

In this Letter we identify special systems of (an arbitrary number) N of first-order Ordinary Differential Equations with homogeneous polynomials of arbitrary degree M on their right-hand sides, which feature very simple explicit solutions;…

Dynamical Systems · Mathematics 2022-11-09 Francesco Calogero , Farrin Payandeh

Twenty-four vanadium isotopes have so far been observed; the discovery of these isotopes is discussed. For each isotope a brief summary of the first refereed publication, including the production and identification method, is presented.

Nuclear Experiment · Physics 2014-11-20 A. Shore , A. Fritsch , M. Heim , A. Schuh , M. Thoennessen

Discussion of the designation of multiple-star components leads to a conclusion that, apart from components, we need to designate systems and centers-of-mass. The hierarchy is coded then by simple links to parent. This system is adopted in…

Astrophysics · Physics 2007-05-23 A. Tokovinin

LTE abundances of light elements in extremely metal-poor (EMP) stars have been previously derived from high quality spectra. New derivations, free from the NLTE effects, will better constrain the models of the Galactic chemical evolution…

Astrophysics of Galaxies · Physics 2015-05-14 S. M. Andrievsky , Monique Spite , S. A. Korotin , F. Spite , P. Bonifacio , R. Cayrel , P. François , V. Hill
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