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Joseph-Louis Lagrange was, without any rhetoric, the greatest mathematician and scientist born and lived in Turin and in Piedmont.
Born in 1736, after having been one of the founders of what would later on become the Turin Academy of Sciences, at the age of thirty he was called by Friederich II of Prussia to replace Eulero at the Berlin Academy of Sciences. In 1787, death year of Friederich, he moved to Paris upon invitation of Louis XVI and lived there till his death in 1813.
His research fundamental still today focused on the study of the variations' calculation, the theory of functions and the integration of mathematics into mechanics.
The choice of Lagrange to whom to entitle this project does not only represent a meaningful acknowledgement of his work as extraordinary mathematician but is also a precise indication of a work methodology.
In fact, Joseph-Louis Lagrange represents the economics of Nature and the mystery of our ability to know it. Science has a general principle whose concept is at the same time powerful and simple though showing the strength of an absolute paradigm: the principle of the minimum action.
It is almost metaphysical in the clear structure of its cognitive implications so it is elementary in its formulation and complex in its consequences. Together with other great thinkers of science at the end of the 1700, the Turin-born scientist did play an important role in laying the basis of such principle.
Formulated in the most essential way, the principle of minimum action establishes that, for any physical phenomenon, the laws regulating its dynamics are simply defined by the fact that dynamics itself decreases to the minimum a particular size associated to the phenomenon itself, i.e. action. Action is in turn linked to one function of the dynamical variables of the system, i.e. the "Lagrangian function", which Lagrange taught us how to calculate. His teaching revealed itself as a sort of enlightened prediction as it showed to be extended even to a context governed by laws different from the classical Newtonian ones, i.e. the laws of Einstein relativity and quantum physics, physics of the matter in its microscopic elements.
It is as if Nature managed its own resources with the attention of a good manager and skilled administrator who aims at minimizing losses or the cost generated by life and evolution. Action is that universal physical quantity representing such cost in the widest way; the Lagrangian function is the mathematical function needed to evaluate it. The principle of minimum action went unchanged through time and the extraordinary development of physical sciences and their structure, even the most recent ones, that influenced so much our way of representing the Nature's laws.
The Lagrange Project intends to follow exactly the principle of minimum while looking for a multiplying effect of the resources invested by CRT Foundation and, at the same time, avoiding useless duplications of already existing projects and organizations.
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