The Coordinate Rotational Digital Computer (CORDIC) algorithm is another classic approach for sine wave generation. This trigonometric iteration based approach relies on vector rotations for performing successive mapping between polar and rectangular co-ordinates (and vice versa)

This lecture is about some of the basics of uncertainty: the use of variances and covariances to express statistical uncertainty (“error bars”, error ellipses); we are concentrating on the uncertainties of geographic co-ordinates. This makes it necessary to talk about geodetic datums – alternative ways of fixing the starting point(s) used for fixing geodetic co-ordinates in a network solution. ...

The results of the previous investigation lead to a very interesting conclusion, which is here to be deduced. I based that investigation on the Maxwell-Hertz equations for empty space, together with the Maxwellian expression for the electromagnetic energy of space, and in addition the principle that:— The laws by which the states of physical systems alter are independent of the alternative, to ...

In the time series literature one can often nd the claim that the periodogram ordinates of an iid sequence at the Fourier frequencies behave like an iid standard exponential sequence. We review some results about functions of these periodogram ordinates, including the convergence of extremes, point processes, the empirical distribution function and the empirical process. We show when the analog...