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In [10], the authors gave optimal relationships among invariant δ ( n 1, …, n k ), the intrinsic curvatures and the extrinsic curvatures.
Generally speaking, like the social contract theory developed by Hobbes, Locke, Hume, and Rousseau, which described the optimal relationships between individuals and government, society's contract with science was also intended to function for the reciprocal benefit of both.
From the aforementioned, it is difficult to apply Nash' theorem, because it requires a very large codimension and there is no general optimal relationships between the known intrinsic invariants and the main extrinsic invariants for Riemannian submanifold of Euclidean spaces.
The fundamental optimal relationships between: (1) the coefficient of performance (COP) and the cooling load; (2) the maximum COP and the corresponding cooling load; and (3) the maximum cooling load and the corresponding COP of the cycle, all coupled to constant-temperature heat reservoirs, are derived by using finite-time thermodynamics.
We configured the optimal relationships among the tables and in the data structure to obtain the best searching efficiency.
Taking into consideration the entire time course of SN-38 concentrations (AUC500 h), the most optimal relationships were observed for the AOCs.
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Finally, according to the optimal relationship, a traverse optimization process is designed, and the maximum system efficiency and safe operating parameters at any efficient SV operating point are calculated.
For coaching staff, maintaining the optimal relationship with riders is no easy task.
And finding that balance — the optimal relationship with Congress that is at once neither too removed nor too meddlesome — has proved to be a significant challenge for Obama's young administration in other legislative forays leading up to the health care debate.
However, the optimal relationship has not yet been determined.
The optimal relationship between the round trip efficiency and the power output is obtained.
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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