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Concept

Heaviside step function

Related publications (15)

Stability: a search for structure

Wouter Jongeneel

In this thesis we study stability from several viewpoints. After covering the practical importance, the rich history and the ever-growing list of manifestations of stability, we study the following. (i) (Statistical identification of stable dynamical syste ...

EPFL2024

Addressing fairness in classification with a model-agnostic multi-objective algorithm

Boi Faltings, Diego Matteo Antognini, Claudiu-Cristian Musat

The goal of fairness in classification is to learn a classifier that does not discriminate against groups of individuals based on sensitive attributes, such as race and gender. One approach to designing fair algorithms is to use relaxations of fairness not ...

2021

Statistical and physical characterization of rainfall-driven overland flow morphologies

Mohsen Cheraghi

Environmental transport processes are highly coupled with the shape of landscapes. Modern catchment analysis with high-resolution data and huge computational powers demand more detailed within-cell metrics for surface evolution modeling. This dissertation ...

EPFL2019

Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth

Michaël Unser, John Paul Ward, Quy Ha Nguyen

The Poisson summation formula (PSF) describes the equivalence between the sampling of an analog signal and the periodization of its frequency spectrum. In engineering textbooks, the PSF is usually stated formally without explicit conditions on the signal f ...

2017

Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions

Robert Dalang, Le Chen

We study the nonlinear stochastic heat equation in the spatial domain R, driven by space-time white noise. A central special case is the parabolic Anderson model. The initial condition is taken to be a measure on R, such as the Dirac delta function, but th ...

Inst Mathematical Statistics2015

Numerical simulation of 3D free surface flows, with multiple incompressible immiscible phases. Applications to impulse waves

Marco Picasso, Alexandre Caboussat

A numerical method for the solution to the density-dependent incompressible Navier-Stokes equations modeling the flow of N immiscible incompressible liquid phases with a free surface is proposed. It allows to model the flow of an arbitrary number of liquid ...

Wiley-Blackwell2014

Geomorphic signatures of deltaic processes and vegetation: The Ganges-Brahmaputra-Jamuna case study

Andrea Rinaldo

Deltas are complex ecogeomorphic systems where features such as channels and interchannel islands are present over a wide range of spatial scales. A quantitative description of the morphology of deltas is fundamental to address how they react to changes in ...

Amer Geophysical Union2013

An actin length threshold regulates adhesion maturation at the lamellipodium/lamellum interface

Jean-Jacques Meister, Benoît Vianay, Céline Jeanne Labouesse

The mechanical coupling between adherent cells and their substrates is a major driver of downstream behavior. This coupling relies on the formation of adhesion sites and actin bundles. How cells generate these elements remains only partly understood. A pot ...

Royal Soc Chemistry2013

Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions

Le Chen

In this thesis, we study several stochastic partial differential equations (SPDE’s) in the spatial domain R, driven by multiplicative space-time white noise. We are interested in how rough and unbounded initial data affect the random field solution and the ...

EPFL2013

Simplified Brillouin fiber slow light systems in loss regime using step current modulation

Luc Thévenaz, Sang Hoon Chin

We propose a simple technique to realize Brillouin slow light in nearly transparent regime. A current-modulated semiconductor laser by a step function is used as Brillouin pump to generate a Brillouin loss doublet. ...

Optical Society of America2011

Towards microstructured glazing for daylighting and thermal control

Jean-Louis Scartezzini, Andreas Schueler, André Gabriel Kostro, Mario Geiger

Glass is a central element to modern architecture and can cover up to 100% of a building façade. The main purpose of large glazed areas is to create bright, comfortable and healthy spaces. It was shown that increasing natural light in offices reduces sickn ...

EPFL2011

A DSS to Optimize Facings on the Shelf of a Retail Store

This paper aims to maximize the profitability of a set of brand SKUs stocked at a particular retailer by optimizing the number of facings for each product. Based on the past data, a set of variables such as retail price of different SKUs, linear footage th ...

2010

Principe d'alimentation par convertisseurs multiniveaux à stockage intégré : application aux accélérateurs de particules

Facilities operating in cycles, such as particles accelerators, require pulsed power. Directly drawing this pulsed power from the industrial network is generally not acceptable. A system with a local energy storage system lessens the impact on the network. ...

EPFL2008

Inversion de Fourier ponctuelle

Emanuel Enrico Seifert

Let f be an integrable function on RN, a a point in RN and B a complex number. If the mean value of f on the sphere of centre a and radius r tends to B when r tends to 0, we show that the Fourier integral at a of f is summable to B in Cesàro means of order ...

EPFL2007

Light distribution through advanced fenestration systems

Marilyne Andersen

Most energy-saving applications of advanced fenestration systems, e.g. solar blinds, novel types of glazing and daylight redirecting devices, require a precise knowledge of their directional light-transmission features. These photometric properties are des ...

Taylor & Francis2002