Concept

Triangle

Publications associées (50)

Upper bounds for the perimeter of plane convex bodies

We show that the maximum total perimeter of k plane convex bodies with disjoint interiors lying inside a given convex body C is equal to , in the case when C is a square or an arbitrary triangle. A weaker bound is obtained for general plane convex bodies. ...

Springer2014

Opaque Sets

János Pach

The problem of finding "small" sets that meet every straight-line which intersects a given convex region was initiated by Mazurkiewicz in 1916. We call such a set an opaque set or a barrier for that region. We consider the problem of computing the shortest ...

Springer2014

Two and a half billion years of distance research

János Pach, Filip Moric

In a seminal paper published in 1946, Erd ̋os initiated the investigation of the distribution of distances generated by point sets in metric spaces. In spite of some spectacular par- tial successes and persistent attacks by generations of mathe- maticians, ...

2013

Statistics on Manifolds applied to Shape Theory

Matthieu Martin Jean-André Simeoni

In this report, we use a variety of tools from differential geometry to propose a nonlinear extension of the principal components analysis (PCA) into manifolds setting. This extension, that we shall call principal geodesics analysis (PGA), attempts to find ...

2013

The effect of magnetic anisotropy on the spin configurations of patterned La0.7Sr0.3MnO3 elements

André Bisig

We study the effect of magnetocrystalline anisotropy on the magnetic configurations of La0.7Sr0.3MnO3 bar and triangle elements using photoemission electron microscopy imaging. The dominant remanent state is a low energy flux-closure state for both thin (1 ...

Iop Publishing Ltd2013

High-speed CMOS magnetic angle sensor based on miniaturized circular vertical Hall devices

Radivoje Popovic, Mirjana Banjevic

We present a high-speed CMOS integrated magnetic angle sensor consisting of two 8-contact circular vertical Hall devices (CVHD). The biasing and sensing of the Hall voltage is rotated clockwise for the first device, and counter clockwise for the second one ...

2012

Oblique incidence design of meander-line polarizers for dielectric lens antennas

Juan Ramon Mosig, Jean-François Zürcher, Marco Letizia, Benjamin Fuchs

A method to design planar multilayer meander-line polarizers is given. The proposed procedure is based on transmission line circuit theory and on full-wave unit cell analysis in frequency domain. The hybrid combination of those two techniques paves the way ...

2012

Aptamer-Functionalized, Ultra-Small, Monodisperse Silica Nanoconjugates for Targeted Dual-Modal Imaging of Lymph Nodes with Metastatic Tumors

Li Tang

A dual-modal imaging probe based on size-controlled silica nanoconjugates was synthesized for targeted imaging of lymph nodes by means of both PET and near infrared fluorescence techniques. 20 nm nanoconjugates (see scheme) functionalized with an aptamer ( ...

Wiley-Blackwell2012

Degeneracy and ordering of the noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice

Frédéric Mila, Karlo Penc

We investigate the zero-temperature behavior of the classical Heisenberg model on the triangular lattice in which the competition between exchange interactions of different orders favors a relative angle between neighboring spins Phi is an element of (0,2 ...

2012

Parallel filtering in global gyrokinetic simulations

Laurent Villard, Stephan Brunner, Trach-Minh Tran, Alberto Bottino, Sébastien Jolliet, Ben McMillan, Paolo Angelino, Thibaut Vernay

In this work, a Fourier solver [B.F. McMillan, S. Jolliet, A. Bottino, P. Angelino, T.M. Tran, L Villard, Comp. Phys. Commun. 181 (2010) 7151 is implemented in the global Eulerian gyrokinetic code GT5D [Y. Idomura, H. Urano, N. Aiba, S. Tokuda, Nucl. Fusio ...

Elsevier2012

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