One of the links in this genealogy deserves a special mention. Lagrange was largely self-taught, did not earn a doctoral degree, and did not produce a formal thesis, but his early academic and intellectual heritage is strongly linked to Euler. In particular, in 1755 Lagrange (at the age of 19) developed the foundations of variational calculus in correspondence with Euler. Out of this collaboration came the work that is known today as the Euler-Lagrange Equation. Later on, partly on the recommendation of Euler, Lagrange was appointed as director of mathematics at the Prussian Academy of Sciences.

At the top of the diagram, the lineage of Leibniz can be traced further, via his adviser Christiaan Huygens, back to the late 15th century (see here for more details) and eventually to Desiderius Erasmus, the famous humanist.

A few contemporary names in signal processing and information theory are also noted below that belong to the same tree.