Sentence examples for plane of order from inspiring English sources

Thompson made further contributions to Galois theory, representation theory, coding theory, and, working on the proof of the nonexistence of a plane of order 10, the theory of finite projective planes.

Let f be a function transcendental and meromorphic in the plane of order <1.

Let f be a transcendental meromorphic function in the plane of order less than one.

Let g be a function transcendental and meromorphic in the plane of order less than one.

Let g be a nonconstant meromorphic function in the plane of order less than 1, and let (h>0).

Theorem 3 Let Π be a finite projective plane of order n with a proper subplane Π ′ of order m.

We determine the minimum weight of the ternary dual codes of each of the four projective planes of order 9, and of the seven affine planes of order 9.

Such designs are shown to contain embedded Desarguesian projective planes of order q and a PSU 3,q -invariant oval.

For the latter unital, we determine the full group of automorphisms and show that there are no group-preserving embeddings into (dual) translation planes of order 16.

Several new infinite families of maximal arcs in PG 2, q) are presented and a complete enumeration is carried out for Desarguesian planes of order 16, 32, and 64.

Let f (z) be a meromorphic function in the finite complex plane C of order 0 < ρ(f) < ∞.