Given a countably additive measure ? on " X ", a measurable set is one that differs from a Borel set by a null set.
32.
Furthermore, if Odd perfect number is ever an article by itself, we will be dealing with the somewhat vacuous concept of the null set as a sequence.
33.
The set of non-normal numbers, though " small " in the sense of being a null set, is " large " in the sense of being uncountable.
34.
If the constraints of an optimization problem are mutually contradictory, there are no points that satisfy all the constraints and thus the feasible region is the null set.
35.
He played with the Sydney outfit after Theredsunband's first drummer Kate Wilson ( formerly of The Null Set and current drummer in The Laurels ) left the band.
36.
In a Polish group " G ", the ?-algebra of Haar null sets satisfies the countable chain condition if and only if " G " is locally compact.
37.
A convenient fact is that this logic can also accommodate the domain of the null set, as quantificational claims will not need to assume an element in the domain.
38.
Analogous results for better behaved classes of continuous functions do exist, for example the Lipschitz functions, whose set of non-differentiability points must be a Lebesgue null set ( Rademacher's theorem ).
39.
For the nihilists among the University of Chicago's students, one suggestion has been to call the Class of'00 the Null Set, a mathematicians'term for a set of numbers that has no members.
40.
The cardinal characteristic non ( \ mathcal N ) is the least cardinality of a non-measurable set; equivalently, it is the least cardinality of a set that is not a Lebesgue null set.
