Concept

Nonstandard analysis

Related publications (33)

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Modélisation physique et analyse numérique de la propagation d'une masse granulaire

Claire Sauthier

Rock avalanches are processes involving a huge amount of mobilised material, larger than 106 m3, and their propagation is characterised by a very high energy, such that no active mitigation measure is capable of protecting human lives and properties potent ...

EPFL2012

Compressed Sensing of Simultaneous Low-Rank and Joint-Sparse Matrices

Pierre Vandergheynst, Mohammad Golbabaee

In this paper we consider recovery of a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model which can efficiently restricts the degrees of freedom of data and, at the same time, is generic so that f ...

2012

A numerical model of the ankle to analyze joint prostheses

Valérie Parvex

The ankle is one of the most injured joint in the body. However, it remains a new field of study in biomedical orthopedics. With the increased life span, more people suffer from arthosis and joint problems. That is why the improvements done in arthroplasty ...

2012

Desargues and Leibniz: In the Black Box - A Mathematical Model of the Leibnizian Monad

Bernard Cache

Here Bernard Cache provides a detailed analysis of a paper written in 1636 by the French mathematician, architect and engineer, Girard Desargues. Desargues is best known as the founder of projective geometry. Cache explains how he initally developed this s ...

Wiley-Blackwell2011

Competition of Wireless Providers for Atomic Users: Equilibrium and Social Optimality

Bixio Rimoldi, Vojislav Gajic

We study a problem where wireless service providers compete for heterogenous and atomic (non-infinitesimal) wireless users. The users differ in their utility functions as well as in the perceived quality of service of individual providers. We model the int ...

2009

Distributed Karhunen-Loeve Transform With Nested Subspaces

Michael Christoph Gastpar, Naveen Goela

A network in which sensors observe a common Gaussian source is analyzed. Using a fixed linear transform, each sensor compresses its high-dimensional observation into a low-dimensional representation. The latter is provided to a central decoder that reconst ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Turbulence in basic toroidal plasmas

Stefan Müller

This thesis work contributes to the improvement of the experimental assessment of turbulence in fusion-relevant toroidal plasmas via the construction and dedicated exploitation of the TORPEX basic toroidal plasma experiment. Several contributions to the co ...

EPFL2007

Gravitating field-theoretical branes and their excitations

Katarzyna Zuleta Estrugo

This thesis is devoted to studying field-theoretical branes in warped geometries, with emphasis on brane excitations and properties of background solutions. Firstly, we examine the features of a model in which our universe is represented by a local string- ...

EPFL2005

Pade-Jacobi Approximants

Jan Sickmann Hesthaven

We discuss projection based Pad ́e-Jacobi approximants in general and present in particular an exact rational approximation to the Sign function. This serves as vehicle to analyze the behavior of Pad ́e-Jacobi approximants for discontinuous functions. The ...

2004

Dot trajectories in the superposition of random screens: Analysis and synthesis

Isaac Amidror

Moire effects that occur in the superposition of aperiodic layers such as correlated random dot screens are known as Glass patterns. One of the most interesting properties of such moire effects, which clearly distinguish them from their periodic counterpar ...

Optical Society of America, Washington, United States2004