This is also not a trivial issue.
For certain gravity models, it is possible that A Open image in new window is not transitive but the restriction of a Lie algebroid to a leaf q⊂M,E q →q is transitive (we can also consider a trivial embedding of E q into a higher dimension which allows a surjective map).
Selecting climate models is also not a trivial task, given the strengths and weaknesses of various GCMs.
For a baseline comparison, we also include a trivial algorithm, OneCluster, which always outputs a single cluster that includes all proteins in the network.
There are trivial equilibrium points where one allele is fixed in each species throughout the metapopulation but there is also a non-trivial, interior equilibrium where R i = R i ′ = R ^ i and A i = A i ′ = Â i.
Thus while under best-case scenarios a public option could reduce many inefficiencies in our current system, there is also a non-trivial danger of making things worse.
Then X ( t ) is also a non-trivial solution of equation (3.17).
Thus, our Theorem 3 is also a non-trivial extension of Kadak et al. [1], p. 85, Theorem 3, and [21].
False-positive somatic mutation calls from paired genomes are also a non-trivial concern and may derive from multiple sources.
The median TTP with BVD was also a non-trivial 10 months in this small subgroup at adverse risk.
