Concept

Cardinality of the continuum

Related publications (32)

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Minimum d-blockers and d-transversals in graphs

Dominique de Werra

We consider a set V of elements and an optimization problem on V: the search for a maximum (or minimum) cardinality subset of V verifying a given property a"similar to. A d-transversal is a subset of V which intersects any optimum solution in at least d el ...

2011

Ordered Sets in the Calculus of Data Structures

Viktor Kuncak, Philippe Paul Henri Suter, Ruzica Piskac

Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints with a rich set of operations. A key challenge is to define such classes of ...

Springer2010

New Results on Optimizing Rooted Triplets Consistency

A set of phylogenetic trees with overlapping leaf sets is consistent if it can be merged without conflicts into a supertree. In this paper, we study the polynomial-time approximability of two related optimization problems called the maximum rooted triplets ...

Springer2008

Theory of trapped polaritons in patterned microcavities

Vincenzo Savona, Davide Sarchi, Pierre Lugan

We consider the system of a quantum well embedded in a planar semiconductor microcavity with a shallow circular mesa patterned on top of the cavity spacer. For this system we develop the linear coupling theory of polaritons. We then compute polariton eigen ...

V C H PUBLISHERS, SUITE 909, 220 E 23RD ST, NEW YORK, NY 10010 USA2006

L'espace contre l'architecture

Grégory Azar

This research work analyses Theo van Doesburg's Counter-constructions presented in Paris in 1923 at the "L'Effort Moderne" exhibition. These Counter-constructions stand as icons of the Modern Movement due to their role as precursors of a new "boundless" sp ...

EPFL2005

Multiscale plasticity modeling: coupled atomistics and discrete dislocation mechanics

William Curtin, Ronald Earle Miller

A computational method (CADD) is presented whereby a continuum region containing dislocation defects is coupled to a fully atomistic region. The model is related to previous hybrid models in which continuum finite elements are coupled to a fully atomistic ...

2004

Atomistic/continuum coupling in computational materials science

William Curtin, Ronald Earle Miller

Important advances in multi-scale computer simulation techniques for computational materials science have been made in the last decade as scientists and engineers strive to imbue continuum-based models with more-realistic details at quantum and atomistic s ...

2003

On the capacity of large Gaussian relay networks

Martin Vetterli, Michael Christoph Gastpar

We determine the capacity of a particular large Gaussian relay network in the limit as the number of relays tends to infinity. The upper bounds follow from a cut-set argument, and the lower bound follows from an argument involving uncoded transmission. We ...

2002

The microcavity AC Stark triplet: Excitation in the exciton continuum

Benoît Marie Joseph Deveaud, Ursula Oesterle, Cristiano Ciuti, Michele Saba

The coherent optical response of high quality microcavities containing quantum wells is investigated. The dynamics of the ac Stark effect is investigated by degenerate pump-probe experiments, by exciting the quantum well excitons at various intensities and ...

2000

Results from 3D Electroweak Phase Transition Simulations

We study the phase transition in SU(2)-Higgs model on the lattice using the 3D dimensionally reduced formalism. The 3D formalism enables us to obtain highly accurate Monte Carlo results, which we extrapolate both to the infinite volume and to the continuum ...

1996