Three Towns'. They were separated by long sea inlets and marshy areas, now bridged or filled in. There was some rivalry between the three, but this did not extend to the medical men in practice in each town. Fifteen of them met in 1794 and formed the Plymouth Medical Society to promote professional knowledge, and later to dine together. It is either the 6th or 7th earliest Medical Society in th...

It is well known that every non-degenerate quadratic form admits a decomposition into an orthogonal sum of its anisotropic part and hyperbolic form. This unique up to isometry. In this paper we present algorithm for constructing given with coefficients in arbitrary number field.

The Particle Measurement Programme (PMP) informal working group co-ordinated a global interlaboratory study (ILS) on brake wear particle emissions with the participation of 16 laboratories in 2021. Two articles present results ILS: (I) particulate matter mass (PM) and (II) number (PN) emissions. test matrix covered different systems, including ECE NAO pad materials grey cast iron discs drum bra...

By “number theory” I mean algebraic number theory, and by Part 1, roughly the years 1900–1940. The treatment is very sketchy; I hope at some later date to cover the rest of the century and to fill in some of the gaps and correct any errors in this hasty account. At the end of the 19th century, Kurt Hensel introduced the idea of the completion kv of a field k with respect to a discrete valuation...

This paper and its companion (Part I) are devoted to to the analysis of the application of a chaotic piecewise-linear one-dimensional (PL1D) map as Random Number Generator (RNG). In Part I, we have mathematically analyzed the information generation process of a class of PL1D maps. In this paper, we find optimum parameters that give an RNG with lowest redundancy and maximum margin against parasi...