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Publication# Reticular Synchorisation (Keynote)

Abstract

En à peine deux décennies, notre capacité à transmettre de l’information fut profondément transformée par le déploiement d’Internet et l’usage de plus en plus généralisé du Web. Plus qu’une technologie de synchronisation, le Web est une puissante technologie de synchorisation, c’est-à-dire de production d’un espace en commun. Notre relation à l’espace et au temps s’en trouve considérablement transformée, ce qui nous engage à reconsidérer activement les modalités pratiques de coexistence. In just two decades, our ability to transmit information has been deeply transformed with the deployment of the Internet and the increasingly widespread use of the Web. The Web is more than a technology of synchronisation. The Web is a powerful technology of synchorisation, producing an unprecedented common space. Our relation to space and time has therefore changed significantly, engaging us to reconsider actively the practical arrangements of coexistence.

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Fourier transform

In physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.

Hilbert transform

In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces another function of a real variable H(u)(t). The Hilbert transform is given by the Cauchy principal value of the convolution with the function (see ). The Hilbert transform has a particularly simple representation in the frequency domain: It imparts a phase shift of ±90° ( radians) to every frequency component of a function, the sign of the shift depending on the sign of the frequency (see ).

Discrete sine transform

In mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real matrix. It is equivalent to the imaginary parts of a DFT of roughly twice the length, operating on real data with odd symmetry (since the Fourier transform of a real and odd function is imaginary and odd), where in some variants the input and/or output data are shifted by half a sample. A family of transforms composed of sine and sine hyperbolic functions exists.

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