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After surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give three proofs using minimal background. In particular, our proofs use neither spin structures nor the theory of Stiefel-Whitney classes.

Geometric Topology · Mathematics 2018-08-07 Riccardo Benedetti , Paolo Lisca

Flapping wings enable flying animals and biomimetic robots to generate elevated aerodynamic forces. Measurements that demonstrate this capability are based on tethered experiments with robots and animals, and indirect force calculations…

Fluid Dynamics · Physics 2014-09-02 David Lentink , Andreas F. Haselsteiner , Rivers Ingersoll

A control system verification framework is presented for unmanned aerial vehicles using theorem proving. The framework's aim is to set out a procedure for proving that the mathematically designed control system of the aircraft satisfies…

Systems and Control · Electrical Eng. & Systems 2020-06-22 Omar A. Jasim , Sandor M. Veres

With the right choice of sensor, a `simple' pendulum has great potential as a seismometer with superior low frequency sensitivity.

Geophysics · Physics 2007-05-23 Randall D. Peters

This note presents a practical formulation for constructing weight maps in CCD photometry, accounting for various noise contributions under the assumption of statistical independence. We provide complete equations for both electron-count…

Instrumentation and Methods for Astrophysics · Physics 2025-07-28 Dezi Liu , Yuan Fang

In computer graphics, the field of view of a camera is represented by a viewing frustum and a corresponding projection matrix, the properties of which, in the absence of restrictions on rectangular shape of the near plane and its…

Graphics · Computer Science 2021-05-21 Nikita Glushkov , Tyuleneva Emiliya

There has been substantial interest in miniaturizing optical systems by flat optics. However, one essential optical component, free space, fundamentally cannot be substituted with conventional local flat optics with space-dependent transfer…

Optics · Physics 2021-01-11 Cheng Guo , Haiwen Wang , Shanhui Fan

In this paper we study the possibility of utilizing a loaded wire medium as an artificial material for beam shaping element in base station antenna applications. The wires in the lattice are loaded with a proper capacitive impedance to come…

Classical Physics · Physics 2007-05-23 Pekka Ikonen , Mikko Karkkainen , Constantin Simovski , Pavel Belov , Sergei Tretyakov

In this article we provide a rebuttal against the possible perception that a single number, such as the Likelihood Ratio, can provide an objective, authoritative or definitive weight of evidence. We also illustrate the extent to which…

Applications · Statistics 2016-09-21 Steven P. Lund , Hari Iyer

A picture frame in two dimensions is a rectangular array of symbols, with at least two rows and columns, where the first and last rows are identical, and the first and last columns are identical. If a coloring of the plane lattice has no…

Combinatorics · Mathematics 2020-05-20 Craig S. Kaplan , Jeffrey Shallit

The aim of this article is to employ the Lazy Set algorithm as an example for a mathematical framework for proving the linearizability of distributed systems. The proof in this approach is divided into two stages of lower and higher…

Logic in Computer Science · Computer Science 2018-11-05 Uri Abraham

This article proposes a universal simulation platform for simulating systems undergoing duress. In other words, this paper introduces a total simulation package which includes a number of methods of simulating the flexibility of a given…

Optimization and Control · Mathematics 2017-10-20 Vu Hoang Minh , Tajwar Abrar Aleef , Usama Pervaiz , Yeman Brhane Hagos , Saed Khawaldeh

We point out that the universality of free-fall can be tested by observing surface-gravity changes of the Earth. The Earth's inner core is weakly coupled to the rest part of the Earth by mainly gravitational forces. If there were a…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Sachie Shiomi

The dynamics of a simple pencil with a tip laid on a rough table and set free to fall under the action of gravity is scrutinized as a pedagogic case study. The full inquiry is anticipated by a review of three other simplified movements…

Classical Physics · Physics 2021-01-15 Nicola Cufaro Petroni

The characteristics of drive-free oscillations of a damped simple pendulum under sinusoidal potential force field differ from those of the damped harmonic oscillations. The frequency of oscillation of a large amplitude simple pendulum…

Classical Physics · Physics 2019-03-18 Ivan Skhem Sawkmie , Mangal C. Mahato

A finite relativistic model for free particles, which describes the collapse of the statevector, is presented.

Quantum Physics · Physics 2009-10-31 Philip Pearle

To most applied statisticians, a fitting procedure's degrees of freedom is synonymous with its model complexity, or its capacity for overfitting to data. In particular, it is often used to parameterize the bias-variance tradeoff in model…

Other Statistics · Statistics 2017-01-06 Lucas Janson , William Fithian , Trevor Hastie

Robotic non-destructive disassembly of mating parts remains challenging due to the need for flexible manipulation and the limited visibility of internal structures. This study presents an affordance-guided teleoperation system that enables…

Robotics · Computer Science 2025-08-11 Gen Sako , Takuya Kiyokawa , Kensuke Harada , Tomoki Ishikura , Naoya Miyaji , Genichiro Matsuda

The dynamics of the tip of the falling chain is analyzed. Results of laboratory experiments are presented and compared with results of numerical simulations. Time dependences of the velocity and the acceleration of the chain tip for a…

Computational Physics · Physics 2009-11-11 W. Tomaszewski , P. Pieranski , J. -C. Geminard

We introduce some new experiments where light diffraction is demonstrated with simple elements: white light diffraction with a coin, construction of a diffractive lens by holography, diffraction properties in digital discs and an…

Physics Education · Physics 2008-05-08 Jose J. Lunazzi , Daniel S. F. Magalhaes , Maria C. I. Amon , Noemi I. R. Rivera