Search results for " transformations"

Elastic Wave Near-Cloaking

2020

Cloaking elastic waves has, in contrast to the cloaking of electromagnetic waves, remained a fundamental challenge: the latter successfully uses the invariance of Maxwell's equations, from which the field of transformational optics has emerged, whereas the elastic Navier equations are not invariant under coordinate transformations. Our aim is to overcome this challenge, at least in practical terms, and thereby unlock applications in mechanics, ultrasound, vibration mitigation, non-destructive evaluation and elastic wave control. We achieve near-cloaking by recognising that, despite the lack of invariance, a decoupling into a system of form invariant potential equations together with a quant…

Physics at the grocery store

2022

The motion of a food can on an accelerated conveyor belt in a grocery store is described by means of Newtonian mechanics. By assuming that the food can may roll on the conveyor belt, when the cashier starts this device, one can prove that the rolling motion, observed in the belt reference system, is such that the can is seen to move away for the cashier. Experiments can be performed with common material: an empty and a full food can, and a sheet of paper as conveyor belt.

Datorzinātne un informācijas tehnoloģijas

2011

Palaeogenomics of Upper Palaeolithic to Neolithic European hunter-gatherers

2023

Acknowledgements: The authors thank G. Marciani and O. Jöris for comments on archaeology; C. Jeong, M. Spyrou and K. Prüfer for comments on genetics; M. O’Reilly for graphical support for Fig. 5 and Extended Data Fig. 9; the entire IT and laboratory teams at the Department of Archaeogenetics of MPI-SHH for technical assistance; M. Meyer and S. Nagel for support with single-stranded library preparation; K. Post, P. van Es, J. Glimmerveen, M. Medendorp, M. Sier, S. Dikstra, M. Dikstra, R. van Eerden, D. Duineveld and A. Hoekman for providing access to human specimens from the North Sea (The Netherlands); M. D. Garralda and A. Estalrrich for providing access to human specimens from La Riera (S…

Historical Origins of the nine-point conic -- The Contribution of Eugenio Beltrami

2020

In this paper, we examine the evolution of a specific mathematical problem, i.e. the nine-point conic, a generalisation of the nine-point circle due to Steiner. We will follow this evolution from Steiner to the Neapolitan school (Trudi and Battaglini) and finally to the contribution of Beltrami that closed this journey, at least from a mathematical point of view (scholars of elementary geometry, in fact, will continue to resume the problem from the second half of the 19th to the beginning of the 20th century). We believe that such evolution may indicate the steady development of the mathematical methods from Euclidean metric to projective, and finally, with Beltrami, with the use of quadrat…

An interpretative and cognitive semiotic approach to the learning process of mathematical objects

2013

Standard classes on the blow-up of $\mathbb{P}^n$ at points in very general position

2012

Tool support for MOLA

2006

AbstractThe paper describes the MOLA Tool, which supports the model transformation language MOLA. MOLA Tool consists of two parts: MOLA definition environment and MOLA execution environment. MOLA definition environment is based on the GMF (Generic Modeling Framework) and contains graphical editors for metamodels and MOLA diagrams, as well as the MOLA compiler. The main component of MOLA execution environment is a MOLA virtual machine, which performs model transformations, using an SQL database as a repository. The execution environment may be used as a plug-in for Eclipse based modeling tools (e.g., IBM Rational RSA). The current status of the tool is truly academic.

Structural investigation of crystallized Ge-Ga-Se chalcogenide glasses

2018

H. Klym thanks to the Ministry of Education and Science of Ukraine for support and Dr. P. Demchenko for the assistance in XRD experiments.

Polyamorphic transformation induced by electron irradiation ina-SiO2glass

2009

We report a study by electron paramagnetic resonance of amorphous silicon dioxide $(a{\text{-SiO}}_{2})$ irradiated by 2.5 MeV electrons in the dose range from $1.2\ifmmode\times\else\texttimes\fi{}{10}^{3}$ to $5\ifmmode\times\else\texttimes\fi{}{10}^{6}\text{ }\text{kGy}$. By measuring the change in the splitting of the primary $^{29}\text{S}\text{i}$ hyperfine doublet of the ${E}_{\ensuremath{\gamma}}^{\ensuremath{'}}$ centers we evidenced an irradiation induced local (around the defects) densification of $a{\text{-SiO}}_{2}$. Our data show that the local degree of densification of the materials is significantly higher than that obtained by mean density measurements, suggesting that the …