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Ancient Greeks
mathematical models are based on a situation and they simulate the scenario.. a mathematical model isn't based on a nound, adjective or proposition - like RELAY.. so.. you cant have a mathematical model of relay, delay.. communication, confusion, etc etc :)
Newton influenced mathematical thinking by his theory of Gravity, in using his mathematical analysis to derive Keplers Laws, mathematically. In addition his book "Principia" also influenced mathematical thinking, especially the invention of Calculus .
There is no single equation. There are different equations for different laws.
The equations of motions.