Bijection réciproque

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Mathématiques
Analyse (mathématiques)
Analyse (mathématiques)

Publications associées (23)

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Transmission in Multimode fiber with deep learning

Demetri Psaltis, Christophe Moser, Damien Claude-Marie Loterie, Babak Rahmani, Georgia Konstantinou

Spatio-temporal control of femtosecond pulse-delivery through multimode fibers (MMF) can be used to achieve two photon photo-polymerization. Transmission-matrix method is used in linear domain to solve the scrambling effect at the fiber output and generate ...

IEEE2018

An Ergodic Theory of Binary Operations-Part II: Applications to Polarization

Rajai Nasser

An open problem in polarization theory is to determine the binary operations that always lead to polarization (in the general multilevel sense) when they are used in Arikan style constructions. This paper, which is presented in two parts, solves this probl ...

Institute of Electrical and Electronics Engineers2017

An inverse theorem for Gowers norms of trace functions over F-p

Philippe Michel

We study the Gowers uniformity norms of functions over Z/pZ which are trace functions of l-adic sheaves. On the one hand, we establish a strong inverse theorem for these functions, and on the other hand this gives many explicit examples of functions with G ...

Cambridge University Press2013

Left-inverses of fractional Laplacian and sparse stochastic processes

Michaël Unser

The fractional Laplacian (-Delta)(gamma/2) commutes with the primary coordination transformations in the Euclidean space Rd: dilation, translation and rotation, and has tight link to splines, fractals and stable Levy processes. For 0 < gamma < d, its inver ...

Springer2012

Combining cellular automata and lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition

Davide Alemani

In the last decades the Lattice Boltzmann method (LB) has been successfully used to simulate a variety of processes. The LB model describes the microscopic processes occurring at the cellular level and the macroscopic processes occurring at the continuum l ...

2012

An unusual tandem-domain rhodanese harbouring two active sites identified in Desulfitobacterium hafniense

Christof Holliger, Julien Maillard, Emmanuelle Rohrbach, Laure Prat

The rhodanese protein domain is common throughout all kingdoms of life and is characterized by an active site cysteine residue that is able to bind sulfane sulfur and catalyse sulfur transfer. No unique function has been attributed to rhodanese-domain-cont ...

Wiley-Blackwell2012

Inverse solutions for classifying Event Related Potentials

José del Rocio Millán Ruiz, Ricardo Andres Chavarriaga Lozano, Mohit Kumar Goel

In this paper we want to show the use of inverse solutions ‒in particular cortical current density (CCD)‒with respect to the current surface electroencephalogram (EEG) in classifying event related potentials. We construct feature vector from selected chann ...

2011

Collections, Cardinalities, and Relations

Viktor Kuncak, Ruzica Piskac

Logics that involve collections (sets, multisets), and cardinality constraints are useful for reasoning about unbounded data structures and concurrent processes. To make such logics more useful in verification this paper extends them with the ability to co ...

2010

Direct evaluation of the temperature dependence of the rate constant based on the quantum instanton approximation

Jiri Vanicek, Marcin Rafal Buchowiecki

A general method for the direct evaluation of the temperature dependence of the quantum-mechanical reaction rate constant in many-dimensional systems is described. The method is based on the quantum instanton approximation for the rate constant, thermodyna ...

American Institute of Physics2010

Data-driven Precompensator Tuning for Linear Parameter Varying Systems

Alireza Karimi, Roland Longchamp, Mark Edward John Butcher

Methods for direct data-driven tuning of the parameters of precompensators for LPV systems are developed. Since the commutativity property is not always satisfied for LPV systems, previously proposed methods for LTI systems that use this property cannot be ...

IEEE2008

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Combining cellular automata and lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition

Davide Alemani

2012