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Mayor Rudolph W. Giuliani's proposal to serve an extra three months is dangerous to the democratic process because it is arrived at by an arbitrary set of circumstances (news article, Oct. 5).
"You can't just live by an arbitrary set of rules that says, 'Hop,' or 'Don't hop.' Nor can you rely on the human resources department to look out for you.
Based on Auslender's results, Studniarski [4] proved necessary and sufficient conditions for the problem of the feasible set defined by an arbitrary set.
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For example, start by assigning an arbitrary set of distinct nodes to each machine.
The dehydration inactivaton is quantified by fitting an arbitrary set of equations to the measured inactivation data obtained at a drying temperature of 30°C.
In that case, the holonomy properties of any loop will be determined by those of an arbitrary set of smaller loops that compose it in this way.
For an arbitrary set A, we denote by ♯A the cardinal number of A. Let ((X, d)) be a metric space.
Although this study has utilised prior knowledge to structure a decision tree specific to our regulatory context of interest (methylated and bivalent promoters), the approach can be extended to an arbitrary set of epigenetic markers by systematically evaluating all possible tree structures.
Generations of schoolchildren were taught grammar as an arbitrary set of dos and don'ts laid down by people who knew, or thought they knew, best.
Again, I imposed an arbitrary set of rules.
where is the characteristic function for an arbitrary set.
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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