IN several of his many writings Taylor maintained that he could cure squint without risk by a prompt and almost painless operation. As far as has been known up to now, he himself never described the theoretical basis and the method of his operation. We have had information only from his contemporaries, who described his mode of procedure. At Rouen, Lecat (1743) saw him cutting off a strip of co...

In this paper we give some background theory on the concept of fractional calculus, in particular the Riemann-Liouville operators. We then investigate the Taylor-Riemann series using Osler’s theorem and obtain certain double infinite series expansions of some elementary functions. In the process of this we give a proof of the convergence of an alternative form of Heaviside’s series. A Semi-Tayl...

Large-scale atomistic simulations are performed using both the molecular dynamics and direct simulation Monte Carlo algorithms. These simulations are used to investigate several aspects of turbulent behavior, focusing on the Rayleigh-Taylor instability, in which a heavy fluid lies on top of a light fluid in the presence of a gravitational field. The use of atomistic techniques allows us to capt...

SAMUEL TAYLOR COLERIDGE, the tenth child of the learned and eccentric Vicar of Ottery St. Mary, was an object of concern to many doctors throughout his life, and he himself showed more than a passing interest in things medical. Two medical contacts from his infancy are recalled, one when he burnt his hand at the age of two, and the pain of having it dressed stung him to exclaim 'Nasty Dr. Young...

Ten years ago Hou, Lowengrub and Shelley [4] published a state-of-the-art boundary integral simulation of a classical viscous fingering problem, the Saffman–Taylor instability [12]. In terms of complexity and level of detail, those computations [4] are still among the most ramified and accurately computed interfacial instability patterns that have appeared in the literature. Since 1994, the com...