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In the period from about 1890 to 1915 an interdisciplinary and unifying research programme known as "cosmical physics" attracted much scientific and public attention. It typically included aspects of the earth sciences (such as magnetic…

History and Philosophy of Physics · Physics 2013-04-16 Helge Kragh

In 1964 (Solar Cycle 20; SC 20), Patrick McIntosh began creating hand-drawn synoptic maps of solar magnetic features, based on H$\alpha$ images. These synoptic maps were unique in that they traced magnetic polarity inversion lines, and…

Solar and Stellar Astrophysics · Physics 2018-08-27 Sarah E. Gibson , David Webb , Ian M. Hewins , Robert H. McFadden , Barbara A. Emery , William Denig , Patrick S. McIntosh

In this article we develop some aspects of the construction of new Hopf algebras found recently by Andruskiewitsch and Schneider. There the authors classified (under some slight restrictions) all pointed finite dimensional Hopf algebras…

Quantum Algebra · Mathematics 2007-05-23 Daniel Didt

Longitudinal distributions of the photospheric magnetic field studied on the base of National Solar Observatory (Kitt Peak) data (1976 - 2003) displayed two opposite patterns during different parts of the 11-year solar cycle.…

Astrophysics · Physics 2007-12-17 E. S. Vernova , M. I. Tyasto , D. G. Baranov

A brief history of the discovery of the expanding universe is presented, with an emphasis on the seminal contribution of VM Slipher. It is suggested that the well-known Hubble graph of 1929 could also be known as the Hubble-Slipher graph.…

History and Philosophy of Physics · Physics 2018-04-24 Cormac O'Raifeartaigh

Let $f:M\to M$ be a $C^{1+\epsilon}$-map on a smooth Riemannian manifold $M$ and let $\Lambda\subset M$ be a compact $f$-invariant locally maximal set. In this paper we obtain several results concerning the distribution of the periodic…

Dynamical Systems · Mathematics 2009-01-16 Katrin Gelfert , Christian Wolf

We comment on the paper [1] by Albert Einstein from 1918 to Willem De Sitter's solution [2] of the Einstein field equation from today's point of view. To this end, we start by describing the geometry of the De Sitter space-time and present…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. -J. Schmidt

We present polarisation observations of the gravitational lens system B1422+231 made at 8.4 GHz using the VLBA and the 100m telescope at Effelsberg. All four images of the quasar show structure on the milliarcsec scale. The three bright…

Astrophysics · Physics 2009-10-31 A. R. Patnaik , A. J. Kemball , R. W. Porcas , M. A. Garrett

In this paper, we construct invariant measures and global-in-time solutions for a fractional Schr\" odinger equation with a Moser-Trudinger type nonlinearity $$ i\partial_t u= (-\Delta)^{\alpha}u+ 2\beta u e^{\beta…

Analysis of PDEs · Mathematics 2021-10-15 Jean-Baptiste Casteras , Léonard Monsaingeon

We investigate the influence of the chimney topology $T\times T\times R$ of the Universe on the gravitational potential and force that are generated by point-like massive bodies. We obtain three distinct expressions for the solutions. One…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Maxim Eingorn , Andrew McLaughlin , Ezgi Canay , Maksym Brilenkov , Alexander Zhuk

We establish upper bounds for the size of two-distance sets in Euclidean space and spherical two-distance sets. The main recipe for obtaining upper bounds is the spectral method. We construct Seidel matrices to encode the distance relations…

Combinatorics · Mathematics 2025-09-03 Wei-Chun Chen , Wei-Hsuan Yu

Two formulas are set in floor-tiles in the foyer of the Wuerzburg building that houses the laboratory in which Wilhelm Roentgen discovered X-rays in 1895. But what do they mean, and what have they got to do with Roentgen or his work? The…

History and Philosophy of Physics · Physics 2020-07-13 Anthony John Bracken

We present a few newly found old sunspot observations from the years AD 1708, 1709, and 1710, which were obtained by Peter Becker from Rostock, Germany. For 1709, Becker gave a detailed drawing: he observed a sunspot group made up of two…

Solar and Stellar Astrophysics · Physics 2015-09-30 Ralph Neuhaeuser , Rainer Arlt , Elvira Pfitzner , Susanne Richter

We give examples of infinitely renormalizable quadratic polynomials $F_c: z\maps to z^2+c$ with stationary combinatorics whose Julia sets have Hausdorff dimension arbitrar y close to 1. The combinatorics of the renormalization involved is…

Dynamical Systems · Mathematics 2007-05-23 Artur Avila , Mikhail Lyubich

Einstein's blackboard is a well-known exhibit at the History of Science Museum at Oxford University. However, it is much less well known that the writing on the board provides a neat summary of a work of historic importance, Einstein's 1931…

History and Philosophy of Physics · Physics 2022-07-04 Cormac O'Raifeartaigh

Let $f=h+\overline{g}$ be a harmonic univalent map in the unit disk $\mathbb{D}$, where $h $ and $g$ are analytic. We obtain an improved estimate for the second coefficient of $h$. This indeed is the first qualitative improvement after the…

Complex Variables · Mathematics 2018-07-17 Yusuf Abu Muhanna , Rosihan M. Ali , Saminathan Ponnusamy

We present the first maps of the surface magnetic fields of a pre-main sequence binary system. Spectropolarimetric observations of the young, 18 Myr, HD 155555 (V824 Ara, G5IV + K0IV) system were obtained at the Anglo-Australian Telescope…

The nature of coronal wave fronts is deeply debated. They are observed in several wavelength bandpasses in spectra, and are frequently interpreted as magnetosonic waves propagating in the lower solar atmosphere. However, they can be…

Solar and Stellar Astrophysics · Physics 2015-06-17 Cecile Delannee , Guy Artzner , Brigitte Schmieder , Susanna Parenti

In addition to regular Schwabe cycles (~ 11 years), solar activity also shows longer periods of enhanced or reduced activity. Of these, reconstructions of the Dalton Minimum provide controversial sunspot group numbers and limited sunspot…

Solar and Stellar Astrophysics · Physics 2021-05-13 Hisashi Hayakawa , Shoma Uneme , Bruno P. Besser , Tomoya Iju , Shinsuke Imada
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