Sentence examples for give the increasing from inspiring English sources

If n > 2, then we give the increasing homeomorphisms f k : I k → I k − 1 and f k ∗ : I k ∗ → I k − 1 ∗ for k = 2, …, n − 1, arbitrarily.

Let X k : = ( x k, x k + 1 ] for integers k ≥ 0. We give the increasing homeomorphisms β k : X k → X k − 1 for k = 1, …, n − 1, arbitrarily. Now put x n + k : = F − 1 ( x k ), x n + k ∈ [ a, b ] (4.6).

We have announced measures to give the increasing number of families who rent from a private landlord more security – and effective redress if their landlord is not maintaining their property.

This process is unlikely to reverse given the increasing concentrations of greenhouse gases in the atmosphere.

Now, given the increasing number of homes in vulnerable areas, firefighting efforts have grown more urgent.

ITV has decided it no longer wants to produce regional news, given the increasing costs.

This is an important question, given the increasing realization that toxicity may reside in soluble conformers.

Given the increasing frequency of the achievement, it is perhaps not surprising the prize money shrank.

These findings are of particular interest, given the increasing clinical use of this BTK inhibitor.

But General Abizaid would like to accelerate and increase that force, given the increasing sophistication and frequency of guerrilla attacks.

Given the increasing price disparity, however, more New Yorkers are said to be giving New Jersey a look.