Sentence examples for the distinguished point from inspiring English sources

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.

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.

The algebraic k –varieties O h and G / L have the distinguished points h and the coset e = 1 · L respectively.

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.

These are defined with respect to a distinguished point in the plane called the origin, denoted O.

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.

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.

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).

At that point, Mr. Singh, the distinguished architect of India's economic reforms, had been prime minister for five years.

When Φ is of class C2 on ¯¯¯¯¯Dn, we show that CΦ is bounded on Hp or Apα if and only if the Jacobian of Φ does not vanish on those points ζ on the distinguished boundary Tn such that Φ∈Tn.