Sentence examples for relation of length from inspiring English sources

In particular, given a Jordan chain of the representing relation of length ℓ, we show that there exists a pole cancellation function of order at least ℓ, and, moreover, the construction shows that it is of surprisingly simple form.

The most significant scapular change is in the relation of length to breadth of a bone.

The time of fall in relation to length of stay determined that the majority of falls (57.6 %) occurred within the first week of hospitalization.

Estimated gains and losses of compounds in relation to length of metabolic pathway (Fig.  3a) and the role of dietary redundancy in sustaining elongation of metabolic pathways (Fig.  3b) both predict much more frequently occupied dietary nodes and limited diversification around these nodes.

As is apparent from the expression for the differential interval between neighboring spacetime events, ds2 = gμν dxμ dxν (here, and below there is an implicit summation over repeated upper and lower indices), the metric tensor is at once the geometrical quantity underlying measurable metrical relations of lengths and times.

The increase in hip fracture is thought to be caused by factors related to aging and not necessarily to decreases in BMD. 31 Safety of bisphosphonates in relation to length of treatment has received much attention at present.

Further investigation at a larger scale is recommended to evaluate the benefit of this organisation of the nutritional care in relation to length of stay, complication rate and readmission.

Prevalence of diabetes significantly increased in relation to length of residence in the U.S., both in the HCHS/SOL and in the 1997 2005 study by the NHIS (11).

In addition, a performance evaluation of radio over single-mode fiber system using coded OFDM and OWDM and the relation of fiber length with BER is discussed.

Adopting the empirical relation of fault length and maximum displacement by Matsuda (1975), ~6-km-long Suizenji fault zone could have brought ~0.5-m vertical displacement.

We investigated the relation of telomere length, a marker of cellular replicative history, with MD and biopsy diagnosis.