Sentence examples for for which relations from inspiring English sources

We say that f has the limit shadowing property on Λ if there exists δ > 0 with the following property: if a sequence { x i } i ∈ Z ⊂ Λ is a δ-pseudo orbit of f for which relations d ( f ( x i ), x i + 1 ) → 0 as i → + ∞, and d ( f − 1 ( x i + 1 ), x i ) → 0 as i → − ∞ hold, then there is a point y ∈ M such that d ( f i ( y ), x i ) → 0 as i → ± ∞.

We say that f has the weak limit shadowing property on Λ (or Λ is weak limit shadowable for f) if there exists a δ > 0 with the following property: if a sequence { x i } i ∈ Z ⊂ Λ is a δ-pseudo orbit of f, for which relations d ( f ( x i ), x i + 1 ) → 0 as i → + ∞ and d ( f − 1 ( x i + 1 ), x i ) → 0 as i → − ∞ hold, then there is a point y ∈ M such that d ( f i ( y ), x i ) → 0 as i → ± ∞.

The two are experts in arranging the types of events for which public relations is a phrase you might whisper.

As a consequence, very few words for which semantic relations were selected appear in transcripts, therefore leaving the segmentation mostly unchanged with respect to the baseline segmentation algorithm.

Given that there were 1,215 genes with significant changes in gene expression for which regulatory relations were known, we were therefore able to capture between 8% (= 99 initial model genes/1,215 genes with significant expression changes and known regulatory relations) and 11%99+36additionalional genes = 135/1,215) of the explainable response.

In the general case, hand contours are not star-shaped since it is (nearly) impossible to find a pole for which the relation ρ=f holds for all contour pixels.

The following problem is studied: given natural k ≥ 1 and a random sequence η = ( η n ) n = 1 ∞ to determine a random process ξ = ( ξ n ) n = 1 ∞ for which the relation ξ ( k ) = η holds.

In the first case the organ is represented as a black box, for which the relation for each input and output is known.

We obtain a class containing 46 of the 55 WHO-ART concepts mapped to corresponding MedDRA Hemorrhage SSC concepts, 3 are not mapped (14% of WHO-ART terms are not mapped to SNOMED CT) and the remaining 6 are concepts for which the relation to "Hemorrhage" is not in SNOMED CT.

At the afternoon session, Nurse Jean Jameson, whose affidavit primarily caused the charge of murder against Arbuckle, testified that the dead girl, Virginia Rappe, told witness before her death that she did not know whether she had been assaulted or not and had suffered a six weeks' ailment, for which she blamed relations with another.

Let us define the class of composite materials, for which the "energy" relations (12) give an accurate description, i.e., are coincide with (23, 25).