Sentence examples for essential for the set from inspiring English sources

Exact(1)

Remark 3.6 It is easy to see that if G includes internal points, then all internal points of G are essential for the set G. Every external point of G is either nonessential for the set G, or an atom for the measure μ.

Similar(59)

A total of 3,598 pairs (1,233 monozygotic; 1,196 dizygotic same sex; 1169 dizygotic opposite sex) met the inclusion criteria listed above, and had complete language measures at ages 2 and 4 years, essential for defining the set of children with ELD, and further dividing that set into those with recovery versus those with continuing difficulties.

Because (C^{N}) is essential, for the open set (B(C^{0},varepsilon)), there is a (delta>0) such that for any (f') with (|f-f'|

While genes from the core genome (i.e., the set of genes conserved among all strains) code for essential genes, the set of variable genes might be composed of a) genes necessary for living in particular micro-environments (to which each strain is adapted); b) genes relatively neutral to cell fitness that might have arrived by HGT; and c) selfish genetic elements [ 4].

Our study provides evidence that changes outside the V3 domain may be essential for setting the background for the emergence HIV-1 X4 strains in vivo, in agreement with reports indicating that other Env regions outside V3 contribute to CXCR4 coreceptor use and cell tropism [9], [14] [16].

The articles collected in Thematic Forest Series form a diversity of ideas which is essential for setting the levels below which the countries' reduced emissions could be measured and credited.

Few romantics operate on the assumption that the glandular secretions of the male musk deer are essential for setting the mood.

But this is not an ideal Sam Cooke set: the dream box would, among other things, excise the supper-club crooning included here and replace it with selections from Cooke's gospel days with the Soul Stirrers, essential evidence for the argument set forth in the title of this boxed set.

Taken together, these results demonstrate that NF-κB is essential for the activation of a set of proinflammatory target genes in TNFα-treated AC16 cells.

All this, however, is only a palliative, and it is essential to provide for the setting up of new forestry schools for advanced training.

An American radio operator sprinting for his life, leaping over rocks, bullets smacking stone all around, as he escapes a Taliban kill zone in the Korangal Valley, which one set of officers said was essential for the war effort and the next set of officers abruptly closed.

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