Concept

Mathematical beauty

Related publications (34)

On the scaling of polar codes: II. The behavior of un-polarized channels

We provide upper and lower bounds on the escape rate of the Bhattacharyya process corresponding to polar codes where transmission takes place over the the binary erasure channel. More precisely, we bound the exponent of the number of sub-channels whose Bha ...

IEEE2010

Verso un'oggettività della bellezza. L'insegnamento dei Grigioni.

Stefano Zerbi, Luca Conti, Marco Svimbersky

Contemporary society is based on a perpetual evolution of personal opinions and likings. The transmission of knowledge is questioned, but if the education and teaching about a critical vision is considered an essential instrument, so the schools and the ma ...

2010

Some Mathematical and Numerical Aspects in Aluminum Production

Jacques Rappaz, Marco Picasso, Gilles Steiner, Christophe Laurent

In this paper, we present a mathematical modeling of some magnetohydrodynamic effects arising in an aluminum production cell as well as its numerical approximation by a finite element method. We put the emphasis on the magnetic effects which live in the wh ...

Springer US2010

Theoretical Model of Polymer Plasma Laser Ablation

Maria-Alexandra Paun

Polymer plasma laser ablation has been investigated theoretically. An elegant mathematical tool using the fractal structure of space-time was developed. The model was verified with good accuracy on the existing experimental results. ...

2009

Mathematics in the Wind

Alfio Quarteroni, Nicola Parolini

In any sport or human endeavor, coaches regularly state “play to your strengths.” One might not guess that a land-locked, mountainous country like Switzerland would have strengths that would give them a chance at winning the oldest, most competitive sailin ...

2009

River Networks as Ecological Corridors: a Complex Systems Perspective for Integrating Hydrologic, Geomorphological and Ecologic Dynamics

Andrea Rinaldo, Enrico Bertuzzo

This paper synthesizes recent works at the interface of hydrology, geomorphology, and ecology under an integrated framework of analysis with an aim for a general theory. It addresses a wide range of related topics, including biodiversity of freshwater fish ...

American Geophysical Union2009

Mechanistic interpretation of alpine glacierized environments: Part 1. Model formulation and related dynamical properties

Paolo Perona

Understanding the long-term seasonal dynamics of alpine glacierized basins is essential to evaluating their relation to climatic forcing. We focus on process knowledge by following a minimalist approach, and propose a spatially lumped nonlinear differentia ...

Elsevier2008

Which Distributed Averaging Algorithm Should I Choose for my Sensor Network?

Martin Vetterli, Patrick Thiran, Florence Bénézit, Patrick Denantes

Average consensus and gossip algorithms have recently received significant attention, mainly because they constitute simple and robust algorithms for distributed information processing over networks. Inspired by heat diffusion, they compute the average of ...

Institute of Electrical and Electronics Engineers2008

Alexandre Sarrasin (1895-1976) et l'esthétique de l'ingénieur

Philippe Mivelaz

Alexandre Sarrasin (1895-1976) studied at Zürich Federal Swiss Institute of Technology (ETH) from 1913 to 1918. Despite First World War's conflicts surrounding the neutral Switzerland, the intellectual climate inside ETH was cosmopolitan and liberal. As un ...

EPFL2007

Image Scrambling without Bandwidth Expansion

Dimitri Nestor Alice Van De Ville

Image-scrambling schemes are designed to render the image content unintelligible. Wyner has proposed an elegant one-dimensional (1-D) scrambling scheme without bandwidth expansion, making use of the discrete prolate spheroidal sequences (DPSS). The DPSS ar ...

IEEE2004

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.