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Having the mutational pressure in terms of nucleotide turnover, one can estimate the selection pressure exerted on any sequence or position in codons.
The existence of a unique closed finite limiting sequence on any sequence of iterations from any initial point in the union of the subsets is proven if X is a uniformly convex Banach space and all the subsets of X are nonempty, convex and closed.
The existence of a unique closed finite limiting sequence on any sequence of iterates from any initial point in the union of the subsets is proven if X is a uniformly convex Banach space and all the subsets of X are non-empty, convex and closed.
For example it may be the case that, in children, the experience of training on any sequence of finger opposition movements may affect the performance of the individual component movements rather than the syntactic rule which has been implicated in the learning of the task by adults [13], [15], [36].
It is important to note that this does not apply to grossly calcified nodules, which appear black on any sequence.
The method described in this manuscript is applied to HIV but can be used on any sequence dataset.
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A stronger notion amounts to requiring that time-varying stabilizing control laws designed on the basis of any sequence of elements in the set asymptotically or quadratically stabilizes any other fixed member of the set.
This works well provided we can place a tight upper bound on the maximum length of any sequence.
A set-valued map from to is. (i closed, on, if for any sequence with and with, one has ; (ii)lower semicontinuous (l.s.c. in short) at, if,, and imply that there exists a sequence satisfying such that for sufficiently large.
The mapping T is said to be closed on C if, for any sequence {x n } such that limn→∞x n = x0 and limn→∞Tx n = y0, then Tx0 = y0.
We say that f has the usual limit shadowing property on Λ if for any sequence ξ = {x i }i∈ℕ⊂ Λ such that d(f(x i ), xi+1) → 0 as i → ± ∞, there exists a point y ∈ M such that d(f i (y), x i ) → 0 as i → ± ∞.
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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