Apart from three distinguished points, the set of Fq3-rational points of such curves can be partitioned into 2− q2+q+1,q+1,1) designs each isomorphic to the finite projective plane P2(Fq).
The algebraic k –varieties O h and G / L have the distinguished points h and the coset e = 1 · L respectively.
This pinch maps the equator of a pointed sphere (here a circle) to the distinguished point, producing a "bouquet of spheres" — two pointed spheres joined at their distinguished point.
As another distinguished point of this mass spectrometry, the mass spectra for both positive and negative ion clusters could be measured under the same experimental conditions except for positive or negative electric field in the electrospray.
These are defined with respect to a distinguished point in the plane called the origin, denoted O.
La and Anantharam [1] show that the Shapley value need not lie in the core of their game, but they demonstrate the existence of another distinguished point in the core.
The situation for our semigroup (mathrm {H} (W^s)) is analogous except for the minor complication that the distinguished point (e = mathrm {Id}) does not lie in (mathrm {H}(W^s)) but lies in the closure of (mathrm {H}(W^s)).
The two maps to be added map the upper and lower spheres separately, agreeing on the distinguished point, and composition with the pinch gives the sum map.
That individual presumably interpreted the question as (in math-problem-speak): "How many ways are there to order five points on a non-oriented circle having no distinguished point?" If that is the question, the answer is indeed 12.
Today at 11 A.M., Barry Lewis leads a Queens Historical Society tour of part of the neighborhood, one that will point out its distinguished architecture.
