The article written by Percy E. Ludgate in 1909 first gives thanks to Professor C. V. Boys, F.R.S. for his assistance on the subject of analytical machines. Ludgate also refers to the work of Charles ...

He proposes a microprocessor-based hardware implementation of the technique. The hardware implementation requires two reduced tables: a sine table and a cosine table. If each table has i(i+5)/2 ...

Abstract: We propose fast algorithms for a class of trigonometric transforms. These algorithms have a unified structure and simple data exchange similar to the constant geometry Pease (1968) algorithm ...

We prove for the skew Brownian motion the analogues of the arc-sine laws for Wiener process. Unlike of existing results, we are forced to consider a stochastic differential equation with discontinuous ...