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Benchmark 1 is developed by observing the optimality conditions and it has been proven to be Pareto optimal within a large neighbourhood of the solution obtained by the algorithm [5].
In most instances, the lizard's "performance," (that is, the lizard's ability to execute various behaviours or function well metabolically) is optimal within a small range of temperatures.
It follows that Balance is optimal within a constant factor.
The resulting optimal filters are globally optimal within the unbiased minimum-variance filtering over all linear unbiased estimators.
A design of an experiment is called optimal within this set of designs if it maximizes the expected gain of knowledge about the parameters.
We also prove that our algorithms are optimal within a factor of 2, unless problems in NP have quasi-polynomial-time algorithms.
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Limited availability of resources should also promote trade-offs between fitness-related traits that compete for the same resource pool (e.g. somatic maintenance vs. reproductive investment), and thus the optimal within-individual allocation of resources is likely to change across resource regimes [1] [3].
For behavioral tests, the field would benefit from new translatable behavioral tests that are sensitive to early changes and progression in cognitive function across lifespan and those that lend themselves to repeated testing for optimal within-subject experimental design.
The notation int(x) is used for the greatest integer not exceeding the number x. Sufficient conditions for a design to be E-optimal within these classes are derived.
Using a new ratio MaxWeight rule, we design admission control and channel scheduling policies that stabilize the network with throughput utility that is near-optimal within the reduced throughput region.
In particular, it is shown that a design d∗ having n copies of the blocks (1, 2, 3), (2, 3, 1), (3, 1, 2) and one copy of (1, 3, 2) is MV-optimal within the class of all equally replicated connected designs.
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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