Sentence examples for continuous with further from inspiring English sources

Let D be a closed, convex subset of a Banach space and (N Drightarrow D) be continuous with further property that for some (x_{0} in D) one has: (Csubset D) countable, (overline{C}=overline{operatorname{conv}} ( {x_{0} }cup N(C) ) Longrightarrowoverline{C}) compact.

Assume also that A : D → D is continuous with the further property that for some u 0 ∈ D, we have C ⊂ D countable, C ¯ = co ¯ ( { u 0 } ∪ A ( C ) ) implies that C is relatively compact.

In the brainstem, increased post-surgical CBF was identified bilaterally adjacent to the lateral mid-pons, approximating to the trigeminal ganglion/roots (Figure 4), with further continuous regions of increased rCBF in mid-pons identified as principal sensory trigeminal nucleus (Vp), extending posteriorly towards bilateral anterior cerebellar hemispheres and vermis.

High quality zeolite NaA membranes were prepared onto the inner-side of α-alumina tubular supports by the secondary growth method with a cross-flow filtration seeding combined with further semi-continuous hydrothermal syntheses (two cycles).

To compute the Mean Flow Index (MFI), vessels with continuous flow were further divided into normal and sluggish [ 34].

Two or three paragraphs of continuous text give a broad overview of the period with further political, social and cultural details provided in the many captions that accompany the full-bleed illustrations.

This exception, they further note, is continuous with a similar remark made in the Metaphysics: 'We must inquire whether any [form] survives afterward.

Analyses using cumulative UV flux as a continuous variable further suggest a more apparent increasing trend of SCC risk associated with cumulative UV flux (Table 2).

Despite the fact that there is a trend towards better outcome in the era of contemporary systemic chemotherapy for patients with pcCRC, continuous efforts for further therapeutic advancements should be undertaken.

The coating is continuous with regularly spaced droplets (Fig. 1c 9, from which further small fibres could be drawn.

The continuous analyses were further supplemented with categorical analyses.