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All conditions of Theorems 2.1 and 2.3 are therefore fulfilled; the result follows from an argument similar to those in the proofs of Theorems 2.1 and 2.3.
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If this condition is not fulfilled, the results would be invalid.
After all quality checks were fulfilled, the resulting codon alignment was handed to the software yn00 for obtaining the Ks substitution ratio utilizing BioPerl objects and modules.
If the assumption of independence is not fulfilled, the results of the Kaplan-Meier method will be biased because it estimates the probability of an event occurring in a hypothetical population where competing events do not exist.
We will later illustrate how fulfilling the resulting obligations leads to equity in financing global health.
In summary, if all LICs are required to allocate a uniform optimal percentage of their domestic budgets to health, fulfilling the resulting obligation by each country and using the resulting deficits to determine the sizes of HIC governments' obligations to each LIC will have two kinds of effects: the pragmatic effect and fairness effect.
We demonstrate the effectiveness of this mechanism in determining LIC and HIC governments' fair and optimal financial obligations for health financing and go ahead to show how fulfilling the resulting obligations by each country will lead to equity in global health financing as one of the steps towards global health justice.
The third class included predictions that fulfilled the BLAST result conditions with at least one domain from the InterPro or Pfam database corroborating by the consensus BLAST description.
The second class, termed "hypothetical proteins," included proteins with at least one domain identified by InterProScan in the InterPro or Pfam databases (Hunter et al. 2012; Coggill et al. 2008) or that fulfilled the BLAST result criteria defined by Grandaubert et al. (2014) and for which the description indicated "hypothetical protein" in more than 90% of the BLAST hits.
On the other hand, if ∥ β 1 ∥ > R 1, we know that β 1, T β 1 ∈ K 5 and, since T is non-increasing in K 5 and T β 1 belongs to the interior of K, we deduce that 0 ≪ T β 1 ≤ T ( T β 1 ), i.e., T β 1 ∈ K is a non-zero lower solution of the operator T. As consequence, all the conditions of Theorem 2.1 are fulfilled and the result holds.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com