constant communication with an intelligence analyst at operations command, and receives orders through an earpiece to don chemical-protection equipment because of new chemical weapons threat intelligence in the area. The chemical-protection suit is similar to but weighs less than those in use today. Most importantly, because it encloses the soldier's head, the suit has an augmented hearing syst...

Georg introduced a new kind of trapezoidal rule and midpoint rule to approximate a surface integral over a curved triangular surface and conjectured the existence of an asymptotic expansion for this approximation as the subdivision of the surface gets finer. The purpose of this paper is to prove the conjecture.

The properties of plane electromagnetic waves in free space, and evanescent waves which can exist near planar boundaries are discussed in detail, and their physical characteristics compared. The discussion is then generalised to other configurations, and with the help of Fourier synthesis several problems are considered from a unified physical viewpoint. Topics covered include particle accelera...

We prove a new isoperimetric inequality which relates the area of a multiply connected curved surface, its Euler characteristic, the length of its boundary, and its Gaussian curvature.