Sentence examples for decreasing so that from inspiring English sources

If and, for all for some, then, for all ; thus, is monotonically strictly decreasing so that it converges asymptotically to zero.

Therefore, p n ≤ p n − 1 for every n ∈ N (owing to monotonicity of ψ), i.e., the sequence { p n } is decreasing so that for the nonnegative decreasing sequence { p n }, there exists some r ≥ 0 such that lim n → ∞ p n = lim n → ∞ p ( T n x 0, T n + 1 x 0 ) = r.

For low enough values (below around 0.55), the pattern followed by type 5 individuals' is increasing in (phi ), while types 1 through 4 individuals' tax rates are decreasing, so that tax rates of type 1 and type 2 individuals would eventually become negative, as anticipated a few lines above.

Hence, d ( f x n + 1, f x n + 2 ) < d ( f x n, f x n + 1 ) and { d ( f x n, f x n + 1 ) } is monotone decreasing so that σ = lim n → ∞ d ( f x n, f x n + 1 ).

The diffusive function should be monotonically decreasing so that diffusion decreases as the gradient increases.

First, the number of patients receiving ECT has been decreasing so that the need to ensure a large enough pool from which to recruit has meant involving a large number of Trusts and ECT suites, each with their own procedural and governance requirements.

He added that the money PerkStreet earns from fees that merchants pay to accept cards has not decreased, so that wasn't what drove this decision.

These should be make contingent upon tuition decreases so that tuition can be reduced, thereby lowering the need for loans in the first place.

But in real terms, she said, there has been little change in individual giving for several years, except that the overall number of donors has decreased, so that fewer philanthropists are making larger donations.

As it becomes more and more common, however, the fitness of A gradually decreases, so that its increase in frequency eventually comes to a halt.

If he ascends rapidly, the solubility of the gases decreases so that they leave his blood suddenly, forming bubbles in the blood vessels.