From the Watches to the Wavelets (through the "Discrete Fourier Transformations")

From a few interpretation about the behaviour and characteristics of a hands watch, we will show that this usual wide-spread object can constitute a very valuable didactical tool for the study and the illustration of the Fourier transformations and in going further the same way for the discover of the Wavelets methodology for the signals and shapes analysis.

By means of this way of thinking we are trying to elaborate a highly synoptical procedure for exploring the deep stuctures of some transformations from Time domain into Frequency or Spectral domain.

It will become possible to underline the linkages between every transitions of domains and the "Jacobien's Operators" and the "Z Operators".