Sentence examples for a set of measure from inspiring English sources

If (alpha= { A_{1},A_{2},ldots,A_{n} }) is a measurable partition of (Omega_{2}), then (changing it on a set of measure zero if necessary) it is also a measurable partition of (X_{2}).

For X∈L ∞ and (tin mathbb {T}), we denote by ess inft X the unique (up to a set of measure zero), the (mathcal {F}_{t} -measurable random variable, such that F}_{t} -measurableal {F}_{t}), the following equality holds trandomderset{omegain A}{mathrm{ess,inf}}~X=underset{omegain A}{mathrm{ess,inf}}~(mathrm{ess,inf}_{t}X).

Such discontinuities form a set of measure zero.

(As usual "a.e". means almost everywhere, or possibly excluding a set of measure zero).

Then (gin C [0,T] X)) (after possibly being redefined on a set of measure zero).

The idea is that points falling in a set of measure zero are 'sparse' and can therefore be neglected.

Freeman, L. C. A set of measures of centrality based on betweenness.

Use a set of measuring spoons to measure salt, baking powder and other teaspoon type measurements.

The result of Robertson Cooper's research was a set of measures to evaluate emotional wellbeing.

The SHARE data allows to analyze a set of measures on cognitive abilities.

If you buy a set of measuring spoons, they measure as follows: teaspoon – 5ml; dessertspoon –10ml; tablespoon – 15ml.