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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.
"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".
From the idea that the slope of the logistic curve is maximized at the center point, one can take the logistic regression coefficient β x and divide it by 4 to get an upper bound on how much a unit difference in x (e.g., whether article is about politics or not) would change the outcome variable (e.g., probability of retweeting the article).
Hence our estimates likely form a lower bound on how much of the chosen value signal might be explained away by LFP dynamics.
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But whatever happens, it's all gravy for Spotify, which is now bound to gather some interesting data on how much people are into these kinds of hardware devices liked to its service.
In this model (as in the previous model (Lou et al., 2005)), a vesicle can be in one of six different states depending on how much Ca2+ ions are bound to the Ca2+ sensor associated with the vesicle.
The extent of this difference depends on how much hormone is bound by the receptors, and thus on the receptor concentration.
Artists' pencils come in a range of hardness, depending on how much clay is used to bind the graphite.
Since 1 October employers of large companies have been bound by law to enrol employees into a workplace pension scheme, with set rules on how much should be contributed.
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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