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We are able to give either a theoretical bound on how much one formulation is better than another, or examples that show such a bound does not exist.
Results: The representation of a sufficiently large portion of genome enables computation of an upper bound on how much confidence one may place in influences between genes on the basis of expression data.
Because, frankly, the jury is still out, and we don't have enough evidence to provide an upper bound on how much sea level rise would take place.
This can be seen as an upper bound on how far the generalizations of Skolem sequences can be taken while still hoping to resolve the existence question.
"While it's safe to say that Missouri is likely a center-right state now," Mr. Calfano said, "the Akin controversy might be an indicator of an upper bound on how much the state electorate will tolerate right-wing rhetoric".
What the above theorem shows is that in ZFC there is a provable bound on how big the jump can be.
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(3) Maximum Coverage Problem: Given a bound on the cost, how can we get the maximum possible coverage?
This method maintains a lower bound on α k (how to maintain this lower bound will be explained in Section 4.3).
It is clear that the tightness of the bound depends on how large the feasible set X ( m ) and how accurate the estimate x ̂ ( m ) is.
We also see how the bound on the rank of the gauge group of the perturbative heterotic string has a natural interpretation on the type IIA side.
Dr. Kent, in a 2003 paper, used the standard insurance company method to calculate expected losses to explore how stringent this bound on danger was.
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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