Publications related to Sine and cosine

Multiplicative chaos of the Brownian loop soup

Antoine Pierre François Jego, Titus Lupu

We construct a measure on the thick points of a Brownian loop soup in a bounded domain D

D

of the plane with given intensity theta>0

\theta >0

, which is formally obtained by exponentiating the square root of its occupation field. The measure is construct ...

WILEY2023

Function Integration, Reconstruction And Approximation Using Rank-1 Lattices

Fabio Nobile, Giovanni Migliorati

We consider rank-1 lattices for integration and reconstruction of functions with series expansion supported on a finite index set. We explore the connection between the periodic Fourier space and the non-periodic cosine space and Chebyshev space, via tent ...

2021

Imaginary Multiplicative Chaos: Moments, Regularity And Connections To The Ising Model

Janne Matias Junnila

In this article we study imaginary Gaussian multiplicative chaos-namely a family of random generalized functions which can formally be written as e(iX(x)), where X is a log-correlated real-valued Gaussian field on R-d, that is, it has a logarithmic singula ...

INST MATHEMATICAL STATISTICS2020

Practical Product Path Guiding Using Linearly Transformed Cosines

Wenzel Alban Jakob

Path tracing is now the standard method used to generate realistic imagery in many domains, e.g., film, special effects, architecture etc. Path guiding has recently emerged as a powerful strategy to counter the notoriously long computation times required t ...

WILEY2020

Measuring the Safety Climate of Academic Laboratories to Improve Safety Behaviours

Thierry Meyer, Damien Stricker, Nadia Gerweck

In 2005, two major accidents occurred at the Ecole Polytechnique Fédérale de Lausanne (EPFL). Although there were no injuries, the material damages resulted in high financial losses. The management of safety was restructured as a consequence. One of the ma ...

2019

Approximate FPGA Implementation of CORDIC for Tactile Data Processing using Speculative Adders

Christian Enz, Vincent Frédéric Camus

In most robotic and biomedical applications, the interest for real-time embedded systems with tactile ability has been growing. For example in prosthetics, a dedicated portable system is needed for developing wearable devices. The main challenges for such ...

2017

One-dimensional linear advection-diffusion equation: Analytical and finite element solutions

Michel Deville

In this paper, a time dependent one-dimensional linear advection-diffusion equation with Dirichlet homogeneous boundary conditions and an initial sine function is solved analytically by separation of variables and numerically by the finite element method. ...

Pergamon-Elsevier Science Ltd2015

Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy

Jonathan Graves, Wilfred Anthony Cooper, David Pfefferlé

To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel currents and the lo ...

Iop Publishing Ltd2015

Measurement of the B s 0 → ϕϕ branching fraction and search for the decay B 0 → ϕϕ

Olivier Schneider, Aurelio Bay, Yiming Li, Guido Haefeli, Frédéric Blanc, Christoph Frei, Tatsuya Nakada, Julien Rouvinet, Michel De Cian, Luca Pescatore, Elena Graverini, Chitsanu Khurewathanakul, Renato Quagliani, Alessandro Mapelli, Jian Wang, Zhirui Xu, Yi Zhang, Lei Zhang, Jessica Prisciandaro, Mark Tobin, Minh Tâm Tran, Niko Neufeld, Matthew Needham, Marc-Olivier Bettler, Greig Alan Cowan, Maurizio Martinelli, Donal Patrick Hill, Cédric Potterat, Liang Sun, Pietro Marino, Mirco Dorigo, Xiaoxue Han, Sebastiana Gianì, Liupan An, Federico Leo Redi, Ilya Komarov, Thibaud Humair, Maxime Schubiger, Guido Andreassi, Bastien Luca Muster, Violaine Bellée, Maria Vieites Diaz, , , , , , , , , , , ,

Sequences with Minimal Time-Frequency Uncertainty

Martin Vetterli, Reza Parhizkar, Yann Barbotin

A central problem in signal processing and communications is to design signals that are compact both in time and frequency. Heisenberg's uncertainty principle states that a given function cannot be arbitrarily compact both in time and frequency, defining a ...

Elsevier2015

Euclidean Distance Matrices : Properties, Algorithms and Applications

Reza Parhizkar

Euclidean distance matrices (EDMs) are central players in many diverse fields including psychometrics, NMR spectroscopy, machine learning and sensor networks. However, they are not often exploited in signal processing. In this thesis, we analyze attributes ...

EPFL2013

Measurement of the CKM angle gamma from a combination of B-+/- -> Dh(+/-) analyses

Olivier Schneider, Aurelio Bay, Yiming Li, Guido Haefeli, Frédéric Blanc, Christoph Frei, Tatsuya Nakada, Julien Rouvinet, Barinjaka Rakotomiaramanana, Raluca Anca Muresan, Michel De Cian, Christophe Salzmann, Johan Luisier, Anne Keune, Jian Wang, Vincent Fave, Yi Zhang, Lei Zhang, Jessica Prisciandaro, Mark Tobin, Minh Tâm Tran, Niko Neufeld, Matthew Needham, Marc-Olivier Bettler, Greig Alan Cowan, Maurizio Martinelli, Vladislav Balagura, Donal Patrick Hill, Cédric Potterat, Liang Sun, Jean Wicht, Ilya Komarov, Plamen Hristov Hopchev, Bastien Luca Muster, Frédéric Guillaume Dupertuis, Pierre Jaton, Joël Bressieux, Songmei Wu, Hans Dijkstra, Gerhard Raven, Peter Clarke, , , , ,

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

A method to determine the onset voltage of single and arrays of electrospray emitters

Herbert Shea, Renato Krpoun

This paper reports on an accurate and rapid method to compute the onset voltage for a single or for an array of electrospray emitters with complex geometries and on the correlation of the simulation with experimental data. This method permits the exact det ...

American Institute of Physics2008

Effects of homonuclear scalar couplings during multiple refocusing sequences in nuclear magnetic resonance

Nicolas Aeby

Multiple refocusing cycles can be used to extract transverse relaxation rates, R2, while homonuclear scalar couplings do not interfere. In this work, I have demonstrated the usefulness of a hybrid sequence, which is a compromise between single and multiple ...

EPFL2008

About the determination of the thermal and athermal stress components from stress-relaxation experiments

Jean-Luc Martin

The determination of the thermal and athermal stress components using relaxation experiments along a stress-strain curve is critically evaluated. Short-term stress-relaxations are performed along the stress-strain curve of single crystals of Ge at 850 K, C ...

2008

Measurement of the running of the electromagnetic coupling at large momentum-transfer at LEP

Aurelio Bay, Qian Wang, Horst Vogel, Eduardo Sanchez, Zhirui Xu, Werner Lustermann, Liang Sun, Jian Zhao, Ji Hyun Kim, Zheng Wang, Matthias Weber, Xiao Wang

The evolution of the electromagnetic coupling, α, in the momentum-transfer range 1800 GeV2 < -Q2 < 21600 GeV2 is studied with about 40 000 Bhabha-scattering events collected with the L3 detector at LEP at centre-of-mass energies √s = 189-209 GeV. The runni ...

2005

Niobium nitride based thin films deposited by DC reactive magnetron sputtering : NbN, NbSiN and NbAIN

Due to their high hardness, high melting point and high chemical stability, transition metal nitrides present a great interest for various applications. This work constitutes a contribution to the understanding of the properties of Nb based binary and tern ...

EPFL2005

Analysis of the S. pombe signalling scaffold protein Cdc11p reveals an essential role for the N-terminal domain in SIN signalling

Viesturs Simanis, Andrea Krapp, Elena Cano

The initiation of cytokinesis in the fission yeast Schizosaccharomyces pombe is signalled by the septation initiation network (SIN). Signalling originates from the spindle pole body (SPB), where SIN proteins are anchored by a scaffold composed of cdc11p an ...

2004