I tried to look where the numbering (within the lyx editor) of figures and 
tables is defined.

If I choose book doc class, a figure gets the number 
"chapter-number.figurenumber-within-the-chapter", whereas if I choose article 
doc class, it changes to "figure-number-within-the-whole-article".

Nothing is mentioned about floats numbers in stdfloats.inc, stdcounters.inc or 
the like.

I hope that if I will have the answer to how this numbering is done, I might be 
able to set nicely the numbering of a new float I want to insert into my 
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