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This happens iff Ω (after correction by a null set) forms a system of representatives for the quotient of Rn by some subgroup, i.e., iff Ω is essentially a fundamental domain.
One example of a regularity property is the Lebesgue measurability: a set of reals is Lebesgue measurable if it differs from a Borel set by a null set, namely, a set that can be covered by sets of basic open intervals of arbitrarily-small total length.
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MR. ROMNEY: Well, the question is kind of a non sequitur, if you will, and what I mean by that — or a null set.
"The question is kind of a non sequitur, if you will, and what I mean by that — or a null set," he said.
Pick such that is not a null set.
A set (Ninmathcal{L} ( T ) ) is called a null set if (lambda ( N ) =0).
S 0 = is the set of selected users, initially assigned to a null set.
The gene pool of Deaf and gay individuals was a null set.
Each of the 5,475 functions were assigned a probability of being regulated by a random null set of 8 miRNAs (See Methods) and this probability was compared to the observed regulation by the 8 HPD-miRNAs.
Getting a busy signal after dialing 9-1-1 is the closest thing you can have to a mental null set.
Since is absolutely continuous on the set is a null measure set for each.
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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