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math.HO2023
Translating scientific Latin texts with artificial intelligence: the works of Euler and contemporaries
Sylvio R. Bistafa
The major hindrance in the study of earlier scientific literature is the availability of Latin translations into modern languages. This is particular true for the works of Euler wh…
physics.hist-ph2023
Euler's variational approach to the elastica
Sylvio R. Bistafa
The history of the elastica is examined through the works of various contributors, including those of Jacob and Daniel Bernoulli, since its first appearance in a 1690 contest on fi…
physics.flu-dyn2023
Lagrangians for variational formulations of the Navier-Stokes equation
Sylvio R. Bistafa
Variational formulations for viscous flows which lead to the Navier-Stokes equation are examined. Since viscosity leads to dissipation and, therefore, to the irreversible transfer…