Search results for "Topology"

Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group

2018

A Semmes surface in the Heisenberg group is a closed set $S$ that is upper Ahlfors-regular with codimension one and satisfies the following condition, referred to as Condition B. Every ball $B(x,r)$ with $x \in S$ and $0 < r < \operatorname{diam} S$ contains two balls with radii comparable to $r$ which are contained in different connected components of the complement of $S$. Analogous sets in Euclidean spaces were introduced by Semmes in the late $80$'s. We prove that Semmes surfaces in the Heisenberg group are lower Ahlfors-regular with codimension one and have big pieces of intrinsic Lipschitz graphs. In particular, our result applies to the boundary of chord-arc domains and of redu…

Closure to “Explicit Equations for Uniform Flow Depth” by Vito Ferro and Michele Sciacca

2018

Closure to “New Theoretical Solution of the Stage-Discharge Relationship for Sharp-Crested and Broad Weirs” by V. Ferro

2013

A Closure to the paper “A new theoretical solution of the stage-discharge relationship for sharp-crested and broad weirs” is presented

Active spike transmission in the neuron model with a winding threshold manifold

2012

International audience; We analyze spiking responses of excitable neuron model with a winding threshold manifold on a pulse stimulation. The model is stimulated with external pulse stimuli and can generate nonlinear integrate-and-fire and resonant responses typical for excitable neuronal cells (all-or-none). In addition we show that for certain parameter range there is a possibility to trigger a spiking sequence with a finite number of spikes (a spiking message) in the response on a short stimulus pulse. So active transformation of N incoming pulses to M (with M>N) outgoing spikes is possible. At the level of single neuron computations such property can provide an active "spike source" comp…

Distributed Pseudo-Gossip Algorithm and Finite-Length Computational Codes for Efficient In-Network Subspace Projection

2013

In this paper, we design a practical power-efficient algorithm for Wireless Sensor Networks (WSN) in order to obtain, in a distributed manner, the projection of an observed sampled spatial field on a subspace of lower dimension. This is an important problem that is motivated in various applications where there are well defined subspaces of interest (e.g., spectral maps in cognitive radios). As opposed to traditional Gossip Algorithms used for subspace projection, where separation of channel coding and computation is assumed, our algorithm combines binary finite-length Computational Coding and a novel gossip-like protocol with certain communication rules, achieving important savings in conve…

Graphic syntax and representational development

2008

International audience; This chapter focuses specifically on the relationships between syntax and cognitive development, particularly representational development. Vinter, Picard and Fernandes promote the take-home message that changes in drawing behaviour during development result from changes in the size of the cognitive units or mental representations used to plan behaviour, and in the capacity to manage part-whole relationships. This hypothesis is first illustrated by reviewing studies in which children's adherence to the graphic rules when they copy elementary or complex figures is assessed. The authors also examine children's syntactical behaviour at a more global level, characterizin…

Implicit learning, development, and education

2010

International audience; The present chapter focuses on implicit learning processes, and aims at showing that these processes could be used to design new methods of education or reeducation. After a brief definition of what we intend by implicit learning, we will show that these processes operate efficiently in development, from infancy to aging. Then, we will discuss the question of their resistance to neurological or psychiatric diseases. Finally, in a last section, we will comment on their potential use within an applied perspective.

Evolution, development and complexity in Pere Alberch (1954–1998)

1999

Book Review: Interaction and Second Language Development: A Vygotskian Perspective

2016

FlyMove – a new way to look at development of Drosophila

2003

Development of any organism requires a complex interplay of genes to orchestrate the many movements needed to build up an embryo. Previously, work on Drosophila melanogaster has provided important insights that are often applicable in other systems. But developmental processes, which take place in space and time, are difficult to convey in textbooks. Here, we introduce FlyMove (http://flymove.uni-muenster.de), a new database combining movies, animated schemata, interactive "modules" and pictures that will greatly facilitate the understanding of Drosophila development.