Concept

Functional equation

Related publications (40)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Numerical Mathematics

Alfio Quarteroni

Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and ...

Springer2007

Cellular toxicity of carbon-based nanomaterials

László Forró, Arnaud Magrez, Sandor Kasas, Jin Won Seo

The cellular toxicity of carbon-based nanomaterials was studied as a function of their aspect ratio and surface chemistry. These structures were multiwalled carbon nanotubes, carbon nanofibers, and carbon nanoparticles. Their toxicity was tested in vitro o ...

2006

Variational reconstruction of scalar and vector images from non-uniform samples

Muthuvel Arigovindan

We address the problem of reconstructing scalar and vector functions from non-uniform data. The reconstruction problem is formulated as a minimization problem where the cost is a weighted sum of two terms. The first data term is the quadratic measure of go ...

EPFL2005

Semantics-based representation of virtual environments

Daniel Thalmann, Frédéric Vexo

In this paper we present an object representation based on the semantics and functionality of interactive digital items - virtual objects - within a virtual environment (VE). We consider every object participating in a VE application not only as a 3D shape ...

2005

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

On and around the bounded cohomology of SL2

Nicolas Monod

We establish how the spectral decomposition for a Riemann surface determines the allocation of the bounded cohomology over the representations of SL2(R). Then we explore the connections of the Dilogarithm with the continuous bounded cohomology of SL2(R) an ...

Springer2002

Multigrid Image Reconstruction from Arbitrarily Spaced Samples

Michaël Unser, Michael Sühling, Muthuvel Arigovindan

We propose a novel multiresolution-multigrid based signal reconstruction method from arbitrarily spaced samples. The signal is reconstructed on a uniform grid using B-splines basis functions. The computation of spline weights is formulated as a variational ...

IEEE2002

Embryonics: The Birth of Synthetic Life

Eduardo Sanchez, Daniel Mange

A novel architecture descending from the work of von Neumann, has been developed. This architecture borrows its main principles from living systems. Like living beings, the organisms considered here are able to autonomously develop, maintain their function ...

Springer-Verlag1996

A Class of Adaptive Nonlinear Hoo Filters with guaranteed I_2 Stability

Ali H. Sayed

We pose an identification problem that involves a nonlinear output equation and proceed to suggest an approximate linear solution. The approximation is obtained in two stages. We first replace the nonlinear functional by a linear relation, thus reducing th ...

1995

The magic words are squeamish ossifrage [RSA public key cryptography]

Arjen Lenstra, Pénélope Leyland

We describe the computation which resulted in the title of this paper. Furthermore, we give an analysis of the data collected during this computation. From this data, we derive the important observation that in the final stages, the progress of the double ...

1995