Sentence examples for using a finite projective from inspiring English sources

Some general construction results are obtained by using a finite projective geometric approach.

By using a finite projective geometric formulation, Zhang and Mukerjee (2009a) characterized GMC designs via complementary designs for general s-level case, and to find GMC designs, for some special cases they proved a result that a design T can have GMC only if ¯¯¯T is contained in a specific flat.

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

Theorem 5 Let Π = ( P, L, I ) be a finite projective plane of order n with a non-Baer subplane Π ′ = ( P ′, L ′, I ′ ) of order m.

It follows from their result that, a set of type- 1,n) existype- 1 in the planes of square orders and it gives rise to either a Baer subplane or a unital of a finite projective plane of square order.

Lemma 6 Let K = ( P, L, I, ∼ ) be a finite projective Klingenberg plane with parameters t and r, and let K ′ = ( P ′, L ′, I, ∼ ) be a subplane of with parameters t, m such that r ≥ m 2 + m.

Let Π = ( P, L, I ) be a finite projective plane of order n, then it is well known that Π has n 2 + n + 1 points and n 2 + n + 1 lines.

As a result, we have to use a finite penalty.

We use a finite mixture model in this study.

They were also told that they would be required to make visual representations of their experiences of loneliness using a visual projective data-gathering instrument, the Mmogo-method® (22).

Then, this kinetic equation is integrated in time using a projective integration method.