Sentence examples for exactly the sets from inspiring English sources

For example, the projective sets are exactly the sets which are definable (with parameters) in second-order arithmetic.

It fails badly in general to be a homeomorphism (see [86, 114]): for instance Teichmüller space, in the case of the Hirzebruch Segre surface ({mathbb {F}}_{2n}) (blow up of the cone onto the rational normal curve of degree 2n), consists of (n+1) points (p_0, p_2, ldots,p_{2n}), such that the open sets are exactly the sets ({ p_{2i} | i le k}).

But this is exactly the setting that creates a blind spot on both sides.

The bulk of the concert — apparently the framework of his coming arena tour — was almost exactly the set Mr. Springsteen played at the Apollo Theater.

Then is exactly the set, for all.

The set of all fixed point of is exactly the set.

Therefore, in these cases the dynamical state must generate a probability measure over exactly the set of possible measurement results.

The set of Δ-cluster points is exactly the set ({1,1/2,1/3,ldots}cup{0}). Now we shall show that (0notinLambda_{f}).

This is also exactly the set of problems, on the front end, that Famo.us is fixing for web apps.

And indeed, as Camp (2002, 157) observes, the set of implications valid according to his semantics is exactly the set of implications of the entailment system Efde.

The set of fixed points of T is exactly the set A. An easy consequence of Theorem 3.1 is the following result.