Exact(21)
In this case, the bound M can be replaced by M 2. Proof By the logical analysis of Halpern's proof [[18], Theorem 1] in [[27], Theorem 4.2], one can replace the bound M on the diameter by a bound on d ( z t u, u ).
Note that, the accuracy of our algorithms is not only small in practice, it is also guaranteed by a bound.
This theory can be used to more complex situation, for example, K is characterized by a bound on the integral on u over Ω, namely, ∫ Ω u ( x ) d x ≥ 0, we have similar results.
We note that Theorem 1.3 together with Lemma 2.4 below shows that a bound for K p, q, r) with p ≥ 1, q > 0, r > 0 satisfying (p(q + r) q)/p ≥ 1 can be obtained by a bound of K(p(1 + (r - 1)/q), q + r - 1, 1) and as (1.8) implies that K(p(1 + (r - 1)/q), q + r - 1, 1) ≤ (p(q + r) - q)/p, it is easy to see that the assertion of Theorem 1.1 follows from the assertions of Theorem 1.3 and Lemma 2.4.
The human-fugu CNEs that overlap with the binding sites of OCT4, SOX2, NANOG [ 31], c-MYC [ 32] and SUZ12 [ 33] were identified, by comparing chromosomal coordinates of CNEs and TF bound regions and counting CNEs with at least half of its length overlapped by a bound region.
However, the last three residues of the Walker A motif adopt a 310 helical conformation, stabilized by a bound anion.
Similar(39)
Polynomial parsability is obtained by imposing a bound on the functional composition schemata.
Proofs of HD-PoS may be possible by assuming a bound on the pairwise euclidean distance of the weight vectors or the maximum difference between any two prices.
Moreover, by minimizing such a bound we get optimized scaling factor αopt.
In many cases over the years, companies simply didn't expect to receive product back from reviewers, whether or not they were employed by a publication bound by editorial guidelines against the acceptance of gifts or free products.
The fluorescent lipids contained a BY-fluorophore bound to the polar head groups.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com