Here are treated the elements of the theory of the motion of fluids in general, the whole matter being reduced to this: given a mass of fluid, either free or confined in vessels, upon which anâ€¦ (More)

If the question were who among the philosophers was the first to realize that nature in all its operations follows the easiest path, or what amounts to the same thing, expends the least amount ofâ€¦ (More)

This chapter presents a statistical analysis of multiscale derivative measurements. Noisy images and multiscale derivative measurements made of noisy images are analyzed; the means and variances ofâ€¦ (More)

Leonhard Euler (1707â€“1783) â€“ one of the greatest mathematicians of the eighteenth century and of all times â€“ often corresponded with a friend of his, Christian Goldbach (1690â€“1764), an amateur andâ€¦ (More)

The present study considers mathematical classification of the time differential operators and then applies methods of approximation in time such as Galerkin method ( GM ), Galerkin method with weakâ€¦ (More)

The principles of mechanics are already so solidly established that it would be a great error to continue to doubt their truth. Even though we would not be in condition to prove them through theâ€¦ (More)