Sentence examples for union of measure from inspiring English sources

(A countable union of measure zero sets also has measure zero, so all countable sets of sequences are also of measure zero).

The so-called limited industrial action by members of Unite, a trade union, consists of measures like a refusal to work overtime.

The EU's executive has vowed to create a security union – a host of measures to deepen co-operation on counter-terrorism – as a complement to economic union.

California, with the ninth-largest economy in the world, would rank an embarrassing 55th on the Inter-Parliamentary Union's measure of women's representation.

The new rankings used a methodology developed by the US-based Union of Concerned Scientists to measure corporate positions on climate legislation against criteria such as transparency, company performance and lobby interventions.

Finally is null because it is the union of countably many null measure sets.

The measure of a union of disjoint sets is the sum of the measures of the sets, so if the open set G decomposes into disjoint basic sets N σ1), N σ2), …, then μ(G) = ∑i μ(N σi)).

If there are only countably many φ (as there are on Church's conception of place selections), since the measure of the union of countably many sets is less than or equal to the sum of their measures, the measure of the non-random sequences is zero, and the von Mises-random sequences therefore exist and form a measure one subset of all infinite binary sequences.

If E1, E2, … is a countable sequence of pairwise disjoint sets in the probabilistic space, the measure of the union of all the events Ei is equal to the sum of the measures of each Ei.

We have begin{aligned} lambda _2(Omega ):=min left{ int _Omega |nabla f|^2,dx:,Vert fVert _{L^2(Omega )}=1,,,fin H^1_0(Omega ),quad int _Omega ff_Omega,dx=0right}. end{aligned}Then Krahn Szegö inequality states that among all open sets of given measure the unique minimizer of (lambda _2) is given by the union of two disjoint balls of equal measure.

The support of the Plancherel measure is a union of many series of representations.