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Similar Expressions
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Fix l ∈ N and k ≥ k 0, the definitions of d k and d k + l give that there exists a large n such that d n, k > d ∗ − δ and d n, k + l < d ∗ + δ for small δ ∈ ( 0, 1 ).
Hence, the estimate in Theorem 4.1 applies giving that there exists c 0 ∈ R + such that ∥ η s u ∥ W 2, p ≤ c 0 ∥ L ( η s u ) ∥ L p , (4.5).
It is even odder, given that there exists a private-sector proposal to do exactly the same thing.
For and, the delta derivative of at (if exists) is defined by the following Given that, there exists a neighborhood of such that (1.2).
All I am saying is that there exists some similarity between his eyes and pearls, when it is a given that there exists a veritable infinitude of rapports between any pair of things.
While these studies require further development and validation, the findings are intriguing given that there exist a number of drugs to effectively inhibit MMP-8 activity in the clinical setting [ 71].
Using a Hyb-Seq approach (Weitemier et al., 2014), it is possible to obtain large amounts of organellar data from enrichment experiments, but the need for additional organellar genomes in the Saxifragaceae and other plant groups is acute given that there exists only one unpublished chloroplast genome for the family, and there is no mitochondrial genome available even for the Saxifragales.
Given that there exists considerable evidence that unmethylated promoters can maintain a 'permissive' chromatin state [ 72, 74], we hypothesize the following: promoters with lower level of DNA methylation are more likely to adopt and maintain a permissive transcriptional state (similar to the 'ON' state referred to above) and exhibit little transcriptional bursting.
ABO variation in primates is unlikely to be maintained by this mechanism, however, given that there exist haplotypes encoding the AB phenotype (" cis-AB" alleles), which are fixed in Mus musculus for instance 15, and yet these are found only at very low frequencies in humans and have not been reported in other primates 6.
Given that there exists no explicit cost-effectiveness threshold for Germany, net benefits were calculated with the frequently quoted willingness to pay (WTP) threshold of €50,000, which was chosen for illustration only to incorporate impacts on both effects and costs [ 49, 50].
In fact, early diagnosis is extremely important, given that there exists non-pharmacological and, to a lesser extent, pharmacological treatment capable of decreasing the severity of symptoms, retarding disease progression, and strengthening the residual cognitive abilities when neuronal impairment/death is not complete [ 6- 11].
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The phrase "given that there existed " functions as a subordinating conjunction , introducing a dependent clause that provides the reason or condition for the main clause. It sets the stage by referencing a pre-existing state, acting as a causal connector.
Expression frequency: Missing
