Abstract: A cascaded magnetron device has an elongate cathode shank extending along its axis and a series of tubular anode elements placed end to end in a linear cascade surrounding the cathode shank along at least part of its length. Each adjacent pair of anode elements is separated by a conductive, annular pin down disc, and the cathode shank has a series of spaced bands of field emitting material separated by non-emitting regions, each band being located within a respective one of the anode elements and spaced inwardly from the ends of that element. Suitable power inputs and magnetic field generators are provided for generating electron emission and oscillation in the interaction zone between each emitting band and the anode element surrounding that band, and suitable extraction devices are provided for extracting power from each of the interaction zones, the arrangement producing phase-locking of the cascaded magnetron bodies.

Abstract: A system for calculating the dot product of the vectors A(k) and B(k) of dimension Q written in two's complement representation. A bus has a width sufficient for communicating signals representing a plurality of bit planes A(j,Q) and B(n,Q) corresponding to the two's complement representations of A(k) and B(k), respectively. Circuitry connected to the bus calculates C(j,n)=A(j,Q).B(n,Q) for each of said bit planes. An adder sequentially determines R(n)=C(0,n)2.sup.0 +C(1,n)2.sup.1 + . . . C(N-1,n)2.sup.(N-1) -C(N,n)2.sup.N for n=0,1,2 . . . N.