Sentence examples for intervals of constancy from inspiring English sources

Hence, ξ* is only singular on intervals of constancy.

Then, so both and are intervals of constancy of, and therefore (3.8).

This involves that all intervals where q* presents a staircase shape are intervals of constancy, thus allowing to derive conditions (12)–(13) from (25), by basing the argument upon continuity reasons.

And second, there arises one or several integral conditions, applying like (12) at intervals of constancy, which depict the existence of corners in the optimal policy-functions P q).

Denote by, where, the maximal interval of constancy of.

Let be an interval of constancy of having the maximal length.

Together, Restrictions i ii also entail the continuity of q* at every end-point of any maximal interval of constancy.

To do this, suppose that is constant on a neighbourhood of, and denote by, where, the maximal interval of constancy of.

This, together with (46), leads by continuity to condition (12) provided that, thanks to Lemma 1, any interval of singularity must be an interval of constancy.

We have thus shown that if is not injective, then any interval of its constancy is contained in for an.

The Olympic flag, though, has provided one source of constancy.