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This is an elementary explanation of a cubic composition formula due to Ramanujan.

Number Theory · Mathematics 2021-10-05 Valentin Ovsienko

Currently, thirty-eight palladium, thirty-eight antimony, thirty-nine tellurium, thirty-eight iodine, and forty xenon isotopes have been observed and the discovery of these isotopes is discussed here. For each isotope a brief synopsis of…

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

A method to determine the admissibility of symbolic sequences and to find the unstable periodic orbits corresponding to allowed symbolic sequences for the diamagnetic Kepler problem is proposed by using the ordering of stable and unstable…

Chaotic Dynamics · Physics 2009-10-31 Zuo-Bing Wu , Jin-Yan Zeng

We present a compiled catalogue of effective temperatures, surface gravities, iron and magnesium abundances, distances, velocity components, and orbital elements for stars in the solar neighborhood. The atmospheric parameters and iron…

Astrophysics · Physics 2009-11-10 T. V. Borkova , V. A. Marsakov

Using the Planck scale as an absolute bound of half-life, we give a quick estimate, in the manner of Feynman's fine-structure method, of the highest possible atomic number. We find, upon simple extrapolation, that element 168 would…

Nuclear Theory · Physics 2018-11-28 Yang-Hui He , Stavros Garoufalidis

For studying the objectivity and the quality of a given form of the Periodic system as a single whole we compare plots of functions presenting properties of elements in pairs of periods. Using mathematical statistics we introduce a…

General Physics · Physics 2009-03-02 N. N. Trunov

Charge-ordered rare earth manganites Nd0.5Ca0.5MnO3, La0.25Nd0.25Ca0.5MnO3, Pr0.7Ca0.3MnO3 and Pr0.6Ca0.4MnO3 are found to exhibit dielectric constant anomalies around the charge-ordering or the magnetic transition temperatures. Magnetic…

Materials Science · Physics 2009-11-13 Claudy Rayan Serrao , A Sundaresan , C N R Rao

We give examples of atomic integral domains satisfying each of the eight logically possible combinations of existence or non-existence of the following kinds of elements: 1) primes, 2) absolutely irreducible elements that are not prime, and…

Commutative Algebra · Mathematics 2026-01-13 Victor Fadinger , Sophie Frisch , Sarah Nakato , Daniel Smertnig , Daniel Windisch

We consider the operation of division in Pimenov algebras. We obtain necessary and sufficient conditions for prime elements in Pimenov algebras with a number of generators less than five. We adduce examples of the factorization of elements…

Rings and Algebras · Mathematics 2013-03-22 Dmitriy Efimov

Nine metal-polluted white dwarfs are observed with medium-resolution optical spectroscopy,where photospheric abundances are determined and interpreted through comparison against solar system objects. An improved method of making such…

Earth and Planetary Astrophysics · Physics 2019-10-09 Andrew Swan , Jay Farihi , Detlev Koester , Mark Hollands , Steven Parsons , P. Wilson Cauley , Seth Redfield , Boris T. Gaensicke

The quadrupolar ordering in CeB_6 is explained in terms of the electrostatic interaction of quadrupolar moments arranged into a simple cubic lattice. The representation of magnetic and quadrupolar moments by means of quasispins of two kinds…

Statistical Mechanics · Physics 2009-10-30 Gennadi Uimin

Twenty-eight iron 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 2010-09-09 A. Schuh , A. Fritsch , M. Heim , A. Shore , M. Thoennessen

M dwarfs are prominent targets of planet search projects, and their chemical composition is crucial to understanding the formation process or interior of orbiting exoplanets. However, measurements of elemental abundances of M dwarfs have…

Solar and Stellar Astrophysics · Physics 2020-12-30 Hiroyuki Tako Ishikawa , Wako Aoki , Takayuki Kotani , Masayuki Kuzuhara , Masashi Omiya , Ansgar Reiners , Mathias Zechmeister

This is part one of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1- Alphabetical bibliography, 2- Analytical bibliography, 3- Notations and terminology, and 4- Formulas and…

Mathematical Physics · Physics 2008-07-06 Andre Gsponer , Jean-Pierre Hurni

The main features of four-neutrino 3+1 and 2+2 mixing schemes are reviewed, after a discussion on the necessity of at least four massive neutrinos if the solar, atmospheric and LSND anomalies are due to neutrino oscillations. Complete list…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. Giunti

Implications of the recently discovered systematic abundance difference between the Sun and two collections of `solar twins' are discussed. The differences can be understood as an imprint on the abundances of the solar convection zone…

Solar and Stellar Astrophysics · Physics 2009-08-26 A. Nordlund

Possible explanations of solar neutrino and atmospheric neutrino anomalies are summarized and future tests discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Sandip Pakvasa

Thirty-five tungsten 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 2014-11-18 A. Fritsch , J. Q. Ginepro , M. Heim , A. Schuh , A. Shore , M. Thoennessen

Currently, thirty-two zinc, thirty-two selenium, twenty-nine bromine and thirty-one neodymium isotopes have been observed and the discovery of these isotopes is discussed here. For each isotope a brief synopsis of the first refereed…

Nuclear Experiment · Physics 2010-12-10 J. L. Gross , J. Claes , J. Kathawa , M. Thoennessen

This is an item on Ramanujan Graphs for a planned encyclopedia on Ramanujan. The notion of Ramanujan graphs is explained, as well as the reason to name these graphs after Ramanujan.

History and Overview · Mathematics 2017-11-20 Alexander Lubotzky
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