Sentence examples for exists points from inspiring English sources

So there exists points and such that,, for and for.

If is not subordinate to, then there exists points and, for which, (2.7).

Also, we note that there exists points 0, 1 ∈ X such that ( F ( 0, 1 ), F ( 1, 0 ), 0, 1 ) ∈ M. Thus, by Theorem 3.2, we have F has a coupled fixed point that is a point ( 0, 0,).

b and b n have the same zeros and poles with the same multiplicity; for all n ∈ N and all z ∈ D, f n ( k ) ( z ) ≠ b n ( z ) ; there exists points z n in Δ such that f n ( z n ) = 0 and z n → 0 ; and.

Now suppose that F is not subordinate to G, then by Lemma 1.3, there exists points z 0 ∈ U and ζ 0 ∈ ∂ U such that F ( z 0 ) = G ( ζ 0 ) and z 0 F ( z 0 ) = ( 1 + t ) ζ 0 G ′ ( ζ 0 ) ( 0 ≤ t < ∞ ).

What little evidence exists, points to a region experiencing an epidemiological polarization, with different segments of the population experiencing rapidly-diverging rates of morbidity and mortality related to different etiological patterns of communicable, non-communicable, acute and chronic illness and disease.

Now, take any point Then there exists point such that (4.34).

Now, take any point Then there exists point such that By using monotonicity of the map we obtain (4.10).

Apart from the promoter-proximal σ-dependent pausing, no convincing data exists pointing to the larger role of initiation factor during the elongation phase of transcription.

Almost none of the big technology companies of 20 years ago still exist, points out Fred Hickey, the editor of the High-Tech Strategist, a newsletter.

From Theorem 3.4, there exist points such that, and.