partial plane

This quantity can be computed from (6), (7), and (9) by using N =1 for the full-plane receiver and N >1 for the partial plane. The decrease in output power is generally less than or equal to "N" (the area reduction ratio).

Dotted lines: partial plane; plain lines: full plane.

Consequently, two lines of a partial plane have at most one point in common.

A Latin square has clearly girth g = [infinity] because the position matrices of its elements are permutation matrices yielding the incidence matrix of a partial plane consisting in a set of parallel lines (since they have no common point).

Thus if there exists z [not equal to] 0, z [not equal to] x, y, such that (z; z) [member of] ([A.sup.u])i x ([A.sup.w])i" , then lines i(u) and i"(w) have the point j"(z) in common, j" [not equal to] j, j', yielding that the partial plane defined by the position matrix of F contains the triangle j(x)j'(y)j"(z).

It is easy to see that the position matrix of [O.sub.rn] is the incidence matrix of a partial plane consisting in r parallel lines, each one having n points.