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Motive and electrical energy has played a crucial role in human civilization. Since Ancient times, motive energy played a primary role in agricultural and industrial production as well as transportation. At that time, motive energy was…

History and Philosophy of Physics · Physics 2021-04-20 Mikhail Shubov

The study of embedded minimal surfaces in $\RR^3$ is a classical problem, dating to the mid 1700's, and many people have made key contributions. We will survey a few recent advances, focusing on joint work with Tobias H. Colding of MIT and…

Differential Geometry · Mathematics 2007-05-23 William P. Minicozzi

It has already been empirically verified that for many Bronze Age monuments erected in Scotland between 1400-900 BC, there was a concerted effort on behalf of the builders to align their monuments to astronomical bodies on the horizon. It…

History and Philosophy of Physics · Physics 2015-05-28 Gail Higginbottom , Roger Clay

If one wants to translate the heliocentric picture of planets moving uniformly on circular orbits about the sun to the perspective of a terrestrial observer, using classical (ancient) geometric means only, one is naturally led to the…

History and Philosophy of Physics · Physics 2022-08-25 Erhard Scholz

An aperiodic tile set was first constructed by R.Berger while proving the undecidability of the domino problem. It turned out that aperiodic tile sets appear in many topics ranging from logic (the Entscheidungsproblem) to physics…

Computational Complexity · Computer Science 2010-01-27 Bruno Durand , Andrei Romashchenko , Alexander Shen

We consider primitive divisors of terms of integer sequences defined by quadratic polynomials. Apart from some small counterexamples, when a term has a primitive divisor, that primitive divisor is unique. It seems likely that the number of…

Number Theory · Mathematics 2013-05-28 G. Everest , S. Stevens , D. Tamsett , T. Ward

The technological discoveries and developments since dawn of civilization that resulted in the modern wristwatch are linked to the evolution of Science itself. A history of over 6000 years filled with amazing technical prowess since the…

History and Philosophy of Physics · Physics 2022-09-05 Edval J. P. Santos

For corrosion-induced cracking in reinforced concrete, naturally occurring corrosion rates are so low that rust accumulates often over tens of years near the surface of the reinforcement bars before sufficient pressure in the surrounding…

Materials Science · Physics 2022-02-08 Ismail Aldellaa , Petr Havlásek , Milan Jirásek , Peter Grassl

The climate of early Mars remains a topic of intense debate. Ancient terrains preserve landscapes consistent with stream channels, lake basins, and possibly even oceans, and thus the presence of liquid water flowing on the Martian surface 4…

Earth and Planetary Astrophysics · Physics 2018-10-05 Ramses M. Ramirez , Robert A. Craddock

Robotics has been widely applied in smart construction for generating the digital twin or for autonomous inspection of construction sites. For example, for thermal inspection during concrete curing, continual monitoring of the concrete…

Robotics · Computer Science 2022-11-07 Alex Junho Lee , Younggun Cho , Hyun Myung

Carbonaceous chondrites are samples from planetesimals that formed 2-4 million years after solar system formation began. They consist of distinct dust components formed at different times and locations in the accretion disk and whose…

Earth and Planetary Astrophysics · Physics 2026-04-21 Nerea Gurrutxaga , Joanna Drazkowska , Vignesh Vaikundaraman , Thorsten Kleine

We present the first free-floating autonomous underwater construction system capable of using active ballasting to transport cement building blocks efficiently. It is the first free-floating autonomous construction robot to use a paired set…

Robotics · Computer Science 2023-05-10 Samuel Lensgraf , Devin Balkcom , Alberto Quattrini Li

We describe the problems of quantum chemistry, the intuition behind classical heuristic methods used to solve them, a conjectured form of the classical complexity of quantum chemistry problems, and the subsequent opportunities for quantum…

Quantum Physics · Physics 2024-07-17 Garnet Kin-Lic Chan

The origin of Uranus and Neptune is still unknown. In particular, it has been challenging for planet formation models to form the planets in their current radial distances within the expected lifetime of the solar nebula. In this paper, we…

Earth and Planetary Astrophysics · Physics 2022-05-25 Claudio Valletta , Ravit Helled

Knot mosaics were introduced by Kauffman and Lomonaco in the context of quantum knots, but have since been studied for their own right. A classical knot mosaic is formed on a square grid. In this work, we identify opposite edges of the…

Geometric Topology · Mathematics 2025-11-06 Kendall Heiney , Margaret Kipe , Samantha Pezzimenti , Kaelyn Pontes , Luc Ta

We test and simulate the mesoscopic cracking behavior of specimens made of a standard concrete mixture. To this end, we combine stable wedge-splitting fracture experiments performed during X-ray tomography, their analysis with digital…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Akanksha Mishra , Pietro Carrara , Michele Griffa , Laura De Lorenzis

Robots and artificial machines have been captivating the public for centuries, depicted first as threats to humanity, then as subordinates and helpers. In the last decade, the booming exposure of humans to robots has fostered an increasing…

Applied Physics · Physics 2019-06-10 Hortense Le Ferrand

Deeds, or charters, dealing with property rights, provide a continuous documentation which can be used by historians to study the evolution of social, economic and political changes. This study is concerned with charters (written in Latin)…

Applications · Statistics 2013-01-21 Gelila Tilahun , Andrey Feuerverger , Michael Gervers

Layered, hexagonal crystal structures, like zeta and eta phases, play an important role in ultra-high temperature ceramics, often significantly increasing toughness of carbide composites. Despite their importance open questions remain about…

Materials Science · Physics 2025-08-27 Kat Nykiel , Brian Wyatt , Babak Anasori , Alejandro Strachan

This paper looks at how ancient mathematicians (and especially the Pythagorean school) were faced by problems/paradoxes associated with the infinite which led them to juggle two systems of numbers: the discrete whole/rationals which were…

History and Overview · Mathematics 2024-01-08 Fairouz Kamareddine , Jonathan Seldin
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