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Jarnik's identity plays a major role in classical simultaneous approximation to two real numbers. O. German [2] has shown a generalization to the weighted setting in which the identity has to be replaced by two inequalities. His methods…

Number Theory · Mathematics 2019-12-11 Leonhard Summerer

In this work we have carried out an approach between the nonsingular scientific cosmologies (without the initial singularity, the big bang), specially the cyclic models, and the Nietzsche's thought of the eternal recurrence. Moreover, we…

History and Philosophy of Physics · Physics 2015-10-20 J. C. S. Neves

The history of astrometry, the branch of astronomy dealing with the positions of celestial objects, is a lengthy and complex chronicle, having its origins in the earliest records of astronomical observations more than two thousand years…

History and Philosophy of Physics · Physics 2015-06-11 Michael Perryman

Experiments may not reveal their full import at the time that they are performed. The scientists who perform them usually are testing a specific hypothesis and quite often have specific expectations limiting the possible inferences that can…

History and Philosophy of Physics · Physics 2017-10-17 Lydia Patton

We critically examine the evidence available of the early ideas on the bending of light due to a gravitational attraction, which led to the concept of gravitational lenses, and attempt to present an undistorted historical perspective.…

History and Philosophy of Physics · Physics 2012-06-07 David Valls-Gabaud

Prior to the 1990s, speculations about the occurrence of planets around other stars were based only on planet formation theory, observations of circumstellar disks, and the knowledge that at least one seemingly ordinary star is the host of…

Earth and Planetary Astrophysics · Physics 2024-01-31 Joshua N. Winn , Erik Petigura

A convergence of ideas, observations and technology have led to the greatest period of cosmological discovery yet. Over the past three years we have determined the basic features of our Universe. We are now challenged to make sense of what…

Astrophysics · Physics 2007-05-23 Michael S. Turner

The uniform image of the full moon is well known from the beginning of history. In the last decades, there are photos with a similar configuration of the earth observed from the moon and from space, as well as of all the planets and their…

Popular Physics · Physics 2020-02-26 Uri Lachish

The history of the occupations "author" and "photographer" provides an insightful perspective on copyright and creativity. The concept of the romantic author, associated with personal creative genius, gained prominence in the eighteenth…

Computers and Society · Computer Science 2007-05-23 Douglas A. Galbi

We illustrate Archimedes' method using models produced with 3D printers. This approach allowed us to create physical proofs of results known to Archimedes and illustrate ideas of a mathematician who is known both for his for his mechanical…

History and Overview · Mathematics 2013-01-29 Oliver Knill , Elizabeth Slavkovsky

In 1981 Icko Iben Jr published a paper entitled 'The carbon star mystery: why do the low mass ones become such, and where have all the high mass ones gone?', where he discussed the discrepancy between the theoretical expectation and its…

Solar and Stellar Astrophysics · Physics 2023-02-22 Oscar Straniero , Carlos Abia , Inmaculata Dominguez

The Kepler Observatory offers unprecedented photometric precision (<1 mmag) and cadence for monitoring the central stars of planetary nebulae, allowing the detection of tiny periodic light curve variations, a possible signature of binarity.…

Solar and Stellar Astrophysics · Physics 2015-05-30 D. Douchin , G. H. Jacoby , O. De Marco , S. B. Howell , M. Kronberger

This is a short, light spirited account of how some possibly important science actually happened. It very much conflicts with Popper's contention that the key to scientific progress is falsification.

History and Philosophy of Physics · Physics 2010-12-09 Frank Wilczek

Arising out of an attempt at a new foundations of mathematics, in which relations are more primitive than sets, and out of the theoretical physicists' concept of underlying causes of empirical phenomena, the idea of a purely mathematical…

History and Philosophy of Physics · Physics 2011-11-22 Helier Robinson

The perception of facial beauty is a complex phenomenon depending on many, detailed and global facial features influencing each other. In the machine learning community this problem is typically tackled as a problem of supervised inference.…

We performed an image search for "Comet Holmes," using the Yahoo Web search engine, on 2010 April 1. Thousands of images were returned. We astrometrically calibrated---and therefore vetted---the images using the Astrometry.net system. The…

Instrumentation and Methods for Astrophysics · Physics 2015-03-19 Dustin Lang , David W. Hogg

In 1936, Albert Einstein wrote a brief article where he suggested the possibility that a massive object acted as a lens, amplifying the brightness of a star. As time went by, this phenomenon, known as gravitational lensing, has become a…

Popular Physics · Physics 2018-08-01 Jorge Pinochet , Michael Van Sint Jan

At the end of the 17th century, the collection was established through the acquisition of Leiden instrumentmaker Musschenbroek's collection. Its aim was to demonstrate physical phenomena. Until the end of the 18th century, the collection…

History and Philosophy of Physics · Physics 2015-03-16 Andreas Schrimpf

A brief but complete historical survey of the theory of equilibrium figures from its early origins, dating back to 17th-century, until the latest 20th-century developments, with a view towards its applications, is carried out.

History and Philosophy of Physics · Physics 2014-11-11 Giuseppe Iurato

We present a historical review of Einstein's 1917 paper 'Cosmological Considerations in the General Theory of Relativity' to mark the centenary of a key work that set the foundations of modern cosmology. We find that the paper followed as a…

History and Philosophy of Physics · Physics 2017-08-02 Cormac O'Raifeartaigh , Michael O'Keeffe , Werner Nahm , Simon Mitton