Concept

Euclidean plane isometry

Publications associées (47)

Atomistic simulation of the a(0) < 1 0 0 > binary junction formation and its unzipping in body-centered cubic iron

Molecular dynamics simulation is used to study the formation of the a(0) < 1 0 0 > binary dislocation junction in body-centered cubic Fe. Results show that under an applied strain two intersecting 1/2 a(0) < 1 1 1 > dislocations, one mobile edge and one im ...

Pergamon-Elsevier Science Ltd2014

Adjusting the Local Arrangement of π‑Stacked Oligothiophenes through Hydrogen Bonds: A Viable Route to Promote Charge Transfer

Antonio Prlj, Jérôme Florian Gonthier, Eric Albert Georges Bremond, Hongguang Liu

We show that substituting quaterthiophene cores with strong H-bond aggregators, such as urea groups, provides an efficient way to adjust the mutual in-plane displacements of the semiconducting units and promote charge transfer. Our 2-D structure-property m ...

Amer Chemical Soc2014

Euclidean distance versus travel time in business location: A probabilistic mixture of hurdle-Poisson models

Matthieu Marie Cochon de Lapparent

While the question of the specification of spatial weight matrix is now largely discussed in the spatial econometrics literature, the definition of distance has attracted less attention. The choice of the distance measure is often glossed over, with the ul ...

2014

Fixed points and amenability in non-positive curvature

Nicolas Monod

Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenable groups of isometries of X. For amenable discrete subgroups, an even narrower description is derived, implying Q-linearity in the torsion-free case. We est ...

Springer2013

Calibration by Correlation Using Metric Embedding from Nonmetric Similarities

Davide Scaramuzza

This paper presents a new intrinsic calibration method that allows us to calibrate a generic single-view point camera just by waving it around. From the video sequence obtained while the camera undergoes random motion, we compute the pairwise time correlat ...

2013

A Modular Timber Structure

Yves Weinand, Seyed Sina Nabaei

The presented reciprocal frame structure is a modular composition of timber folded panels. The overall geometry is driven from a folded plate base module which is then spartially multiplied in using Euclidean isometries. The intersection of consecutive mod ...

2012

Closing Large Hyperbolic 2g-gons

Poincaré's uniformisation theorem says that any Riemann surface is conformally equivalent to a unique (up to isometry) surface of constant Gauss curvature 0, 1 or –1. The (topologically) richest of these three worlds is for curvature –1 formed of hyperboli ...

EPFL2012

The role of the tangent bundle for symmetry operations and modulated structures

Gervais Chapuis, Kurt Schenk, Philippe Kocian

An equivalence relation on the tangent bundle of a manifold is defined in order to extend a structure (modulated or not) onto it. This extension affords a representation of a structure in any tangent space and that in another tangent space can easily be de ...

2010

Modulus anomaly in magnesium matrix composites

Daniele Mari, Robert Schaller, Abu Salek Md. Fahim Chowdhury

Several magnesium matrix composites were investigated by means of mechanical spectroscopy. A modulus anomaly has been observed in the composites reinforced with fibers while the phenomenon does not occur with particles. This effect is attributed to bonding ...

2010

Isometry groups of non-positively curved spaces: Structure Theory

Nicolas Monod

We develop the structure theory of full isometry groups of locally compact non-positively curved metric spaces. Amongst the discussed themes are de Rham decompositions, normal subgroup structure and characterising properties of symmetric spaces and Bruhat- ...

2009

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