We address here the problem of coding on a noisy channel. The goal is to encode information in order to protect it against transmission errors. We consider a source that is optimally or near optimally ...

We present here Shannon's first theorem, which concerns optimal source coding and the transmission of its information on a non-perturbed channel, while also giving limits to the compression rate which ...

Alexander polynomial: knot theory -- Hopf bifurcation theorem: dynamical system theory -- Kalman filter: control theory -- Hahn-Banach theorem: functional analysis -- Shannon coding theorem: ...