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In this article we introduce a simple physical model which realizes the algebra of orthofermions. The model is constructed from a cylinder which can be filled with some balls. The creation and annihilation operators of orthofermions are…

Quantum Physics · Physics 2007-05-23 Keivan Aghababaei Samani

We introduce a general procedure called `reverse engineering' that can be used to construct infinite families of smooth 4-manifolds in a given homeomorphism type. As one of the applications of this technique, we produce an infinite family…

Geometric Topology · Mathematics 2014-10-01 Ronald Fintushel , B. Doug Park , Ronald J. Stern

Odd materials feature antisymmetric response to perturbations. This anomalous property can stem from the nonequilibrium activity of their components, which is sustained by an external energy supply. These materials open the door to…

Statistical Mechanics · Physics 2022-01-03 Étienne Fodor , Anton Souslov

After an introduction about CERN, a brief description of the Large Hadron Collider(LHC) it is reviewed. Pros and cons of a few advanced engineering design cases are taken in consideration together with the involvement of the European…

Popular Physics · Physics 2012-01-17 Michele Barone

We apply an old method for constructing points-and-lines configurations in the plane to study some recent questions in incidence geometry.

Metric Geometry · Mathematics 2007-05-23 Noam D. Elkies

A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and…

Metric Geometry · Mathematics 2015-10-06 Gregory R. Maloney

Modern software-based services are implemented as distributed systems with complex behavior and failure modes. Many large tech organizations are using experimentation to verify the reliability of such systems. We use the term "Chaos…

Software Engineering · Computer Science 2017-02-21 Ali Basiri , Niosha Behnam , Ruud de Rooij , Lorin Hochstein , Luke Kosewski , Justin Reynolds , Casey Rosenthal

Benjamin Franklin constructed three squares which have amazing properties, and his method of construction has been a mystery to date. In this article, we divulge his secret and show how to construct such squares for any order.

History and Overview · Mathematics 2015-09-28 Maya Mohsin Ahmed

The Inscriptions which were on the Back Cover of the Antikythera Mechanism were the Users Manual of the Antikythera Mechanism. In the Back Cover Inscription Part 1 text, the Presentation, Position, and Operation of the outer parts of the…

History and Philosophy of Physics · Physics 2023-02-07 A. Voulgaris , C. Irakleous , C. Mouratidis , A. Vossinakis

When you use a computer it also uses you, and in that relationship forms a new entity of melded agencies, a "centaur" inseparably human and nonhuman. Networks of interaction in an organization similarly form "organizational centaurs",…

Human-Computer Interaction · Computer Science 2020-09-09 Edward Burnell , Priya P. Pillai , Maria C. Yang

An aerial vehicle powered by flapping feathered wings was designed, developed and fabricated. Different from legacy flapping-wing aerial vehicles with membrane wings, the new design uses authentic bird feathers to fabricate wings. In field…

Systems and Control · Electrical Eng. & Systems 2021-02-26 Zhenhong Zhang , Aiqiu Wei , Yu Cai

Elasticity ellipses or central ellipses have been long used in graphic statics to capture the elastic behaviour of structural elements. The paper gives a generalisation the concept both in dimensions and in the possibility of degenerate…

Classical Physics · Physics 2020-10-09 Tamás Baranyai

The method of application of areas as presented in Euclid's Elements, is employed to generate the three conics as the loci of points with Cartesian coordinates satisfying quadratic equations with coefficients defined by the initial settings…

General Mathematics · Mathematics 2012-10-30 Dimitris Sardelis , Theodoros Valahas

Throughout John Wheeler's career, he wrestled with big issues like the fundamental length, the black hole and the unification of quantum mechanics and relativity. In this essay, I argue that solid state physics -- historically the study of…

High Energy Physics - Theory · Physics 2007-05-23 Shou-Cheng Zhang

We construct the quaternion algebra [10] "geometrically" by a three dimensional analogue of the classic two dimensional geometric description of the complex field. The algebraic description of the multiplication operation in three…

Rings and Algebras · Mathematics 2010-12-13 Bob Palais

Aerial vehicles with collision resilience can operate with more confidence in environments with obstacles that are hard to detect and avoid. This paper presents the methodology used to design a collision resilient aerial vehicle with…

Robotics · Computer Science 2020-03-10 Jiaming Zha , Xiangyu Wu , Joseph Kroeger , Natalia Perez , Mark W. Mueller

Designing physical artifacts that serve a purpose - such as tools and other functional structures - is central to engineering as well as everyday human behavior. Though automating design has tremendous promise, general-purpose methods do…

Generalizing the octahedral configuration of six congruent cylinders touching the unit sphere, we exhibit configurations of congruent cylinders associated to a pair of dual Platonic bodies.

Metric Geometry · Mathematics 2019-04-04 Oleg Ogievetsky , Senya Shlosman

The unconventional technologies, currently applied at a certain category of materials, difficult to be processed through usual techniques, have undergone during the last 60 years all the stages, since their discovery to their use on a large…

Software Engineering · Computer Science 2009-04-24 Tiberiu Marius Karnyanszky , Mihai Titu

Experiment shows that dumbbells, placed inside a tilted hollow cylindrical drum that rotates slowly around its axis, climb uphill by forming dynamically stable pairs, seemingly against the pull of gravity. Analysis of this experiment shows…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Shankar Ghosh , A. P. Merin , S. Bhattacharya , Nitin Nitsure