Sentence examples for increasing such that from inspiring English sources

Consider inequality (1.3), where we suppose that is strictly increasing such that, and are nondecreasing, such that and,, and are given, and are functions satisfying and for all.

Let T : A → B satisfy the following conditions: (a) T is continuous, increasing such that T ( A 0 ) ⊆ B 0 and x ⪯ y d ( u, T x ) = d ( A, B ) d ( v, T y ) = d ( A, B ) } ⟹ d ( u, v ) ≤ α ( d ( x, v ) + d ( y, u ) ), (2.15).

We shall say that x is of type 1 if there are sequences of positive integers { k m } m ≥ 0 and { i m } m ≥ 0, the first one strictly increasing, such that for all m ≥ 0 we have i m ≥ s k m and card ( S k m, i m x ) < card ( S k m + 1, i m + 1 x ) ; here and henceforth, for a finite set P, we denote by card ( P ) the number of its elements.

But HPV throat cancer is not a rare disease, its numbers are increasing such that doctors are calling it a pandemic.

The numbers of patients attending for psychological treatment at IAPT services has been steadily increasing, such that, this is now the commonest route of talking therapy for mild to moderately affected people.

Demand by patients for mental-health care has increased such that if primary-care doctors didn't offer it, many people would go without it.

One might just hope that awareness of this dynamic will increase such that other companies come to join Google in pushing for a less onerous zoning code.

In this article, we consider the case where the signaling density is increased such that inter-pulse interference is unavoidable.

The socioeconomic burden of hip fragility fractures in elderly individuals has increased such that it has become comparable to that of acute myocardial infarction and stroke [16].

As the insulin dose increased, blood glucose decreased, body weight increased, a serum maker of bone resorption decreased, and a serum marker of bone formation increased such that each end-point characteristic was linearly correlated with dose.

In other words, Eq. (5) shows that (for a constant (omega _C)) as plate size increases (left to right in Fig. 4), the driving shear stress increases such that it induces spin motion onto a larger plate.