We introduce a generalization of symmetric (v, k, λ) block designs, and show how these could potentially be used to construct projective planes of non-prime-power order. If q is a prime power and n2+n+1 = N(q2+q+1), then conceivably we could construct a projective plane of order n by gluing together N planes of order q. For example, 182+18+1 = 343 = 49 ·7. Can we make a projective plane of orde...

The solution of differential equations is an important problem that arises in a host of areas. Many differential equations are too difficult to solve in closed form. Instead, it becomes necessary to employ numerical techniques. Differential equations have a major application in understanding physical systems that involve aerodynamics, fluid dynamics, thermodynamics, heat diffusion, mechanical o...

Let P be a set of n points in the plane. A connecting line of P is a line that passes through at least two of its points. A connecting line is called ordinary if it is incident on exactly two points of P. If the points of P are not collinear then such a line exists. In fact, there are Ω(n) such lines [8]. In this note, we present a very simple algorithm for finding an ordinary line, assuming th...

Despite various parallels between quantum states and ordinary information, quantum no-go-theorems have convinced many that there is no realistic framework that might underly quantum theory, no reality that quantum states can represent knowledge about. This paper develops the case that there is a plausible underlying reality: one actual spacetime-based history, although with behavior that appear...

(Tavistock Publications, 32s. 6d) The family doctor, sitting at the centre of his observed world over years, has unique facilities for observation and record. All general practitioners in the National Health Service have two other advantages: that patients cared for on the 'list' comprise a practice population nearly representative of the community at large and that the doctor seems to be the b...