Sentence examples for existence times from inspiring English sources

where G : = { ( t, w ) : w ∈ S + ∖ K, T − ( w ) < t < T + ( w ) } ⊂ R × ( S + ∖ K ). and T − ( w ) < 0, T + ( w ) > 0 are the maximal existence times of the trajectory t ↦ η ( t, w ) in negative and positive direction.

The kind of holiday adventures that Arthur Ransome described so well in Swallows and Amazons have a much smaller readership now because it seems such an old-fashioned existence – time has robbed them of their universality.

Suppose that is the maximal existence time, then (1.4).

Let T 0 be the maximum existence time.

(2.4) Thus, the maximal existence time (T_{n,M}=+infty).

Moreover, the existence time can be chosen as follows:, where.

Let (T^) be the maximal existence time of the solution u.

For the solution of (1.1), let be the maximal existence time, that is, (1.2).

Then the existence time of a global solution for problem (1.1 - 1.2 1.1 - 1.2ise.

We need to show that the maximal existence time T of u is finite.

Let u 0 ∈ H s with s > 3 2, T > 0 be the maximal existence time.