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A maybe less trivial result is presented in Fig. 4b.
This trivial result seemingly contradicts the notion of a comparative advantage, familiar from Ricardian economics28, where there is a benefit from trade even if one agent is better at producing all goods.
However, supplying both of these nitrogen sources and directly applying either flux minimisation or carbon usage minimisation would lead to the trivial result that the model selects ammonium as the source, because it is 'cheaper' in terms of energy and reductant (see Supplementary Text 7 and Supplemetal Dataset 1).
We prove the following result: if T is strongly singular with respect to A in the sense that Ker T is dense in the Hilbert space H1(A)=D A1/2) equipped by the graph-norm, then any suitable approximation by positive operators, Tn→T, gives a trivial result, i.e., ATn→A in the strong resolvent sense, where ATn is defined as a form-sum of A and Tn.
When, it is a trivial result.
For (tau = 1), it is a trivial result.
Similar(36)
These are not trivial results.
In the end of the paper, we also discuss the other two invariance conditions which lead to some trivial results.
Proofs of trivial results are not provided.
An extra negotiating session convened in New York that ended on 2 June has resulted in a document that is only about 20% agreed; and many of the divisions that remain are anything but trivial, resulting from fundamentally different views about how the world should be.
Consequently, despite the fact that the core in such setups is empty, the analysis of the least core may provide more than trivial results on the stability, as well as on the prevalence of the marginal-rate progressivity in income taxation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com