Sentence examples for exists 1 from inspiring English sources

In case that f exists: 1.

Also since s ≤ r, there exists 1 ≤ t 0 ≤ ∞ such that s ≤ t 0 ≤ r.

Then for any eigenvalue λ of A, there exists 1 ≤ t ≤ n such that | λ − a t t | ≤ ( R t ( A ) ) α ( C t ( A ) ) 1 − α.

Then for every eigenvalue λ of A, there exists 1 ≤ i ≤ n such that | λ − a i i | ≤ P i γ ( A ) S i 1 − γ ( A ). (3.3).

Using the Gerschgorin circle theorem, we know there exists 1 ≤ t ≤ l such that | λ − a t t ′ | ≤ P t ( A / α ).

Then for each eigenvalue λ of A / α, there exists 1 ≤ t ≤ l such that | λ − a j t j t | < P j t ( A ).

In 2009 – the first full calendar year for which the data exists – 1,211 crimes were reported.

These classifications will be based on empirical data where it exists [1, 2, 18].

Determining bone union and the timing of frame removal can be difficult, and currently no gold standard method exists [1].

High levels of DCE showed detectable catalyst deactivation after a few hours under reaction conditions, hence an optimum level exists (1 2 ppm) that maximizes ethylene oxide yield while maintaining a reasonably high stable catalyst activity.

As upwards of 48% of HIV-infected persons have a probable psychiatric disorder, the possibility of cross-class drug interactions causing adverse effects or fatalities exists [1, 2].