The law of correspondence is the modern definition for the subject of functions. In addition, it is important to define concepts of domain and image, already explained in the function introduction post, under the vision of René Descartes. Tribute to the Bernoulli family No family in the history of mathematics has produced as many famous mathematicians as the Bernoulli family. Originally from the Spanish Netherlands, this family emigrated in 1583 to Basel, Switzerland, fleeing the war. About a dozen members of the family achieved renown in Mathematics and Physics, four of them being elected as members foreigners from the French Academy of Sciences.