Sentence examples for measurable space from inspiring English sources

Let μ be a probability measure on the measurable space  ( Ω, F ).

Let us show now that we can identify ϕ 0 with a measure on the measurable space ( Ω, R loc ).

be a stochastic matrix on S 2. Let μ P be a probability measure on the measurable space ( Ω, F ).

Let be the set of all probability measures on the measurable space which are absolutely continuous with respect to.

Here π is a given σ-finite measure on the measurable space ((mathcal{E}, mathcal{B}(mathcal{E}))) satisfying (int_{mathcal{E}} (1wedge |e|^{2}) pi(de)

We construct an infinite-dimensional Hilbert manifold of probability measures on an abstract measurable space.

Throughout the rest of the paper Ω denotes a measurable space with a finite measure μ, and we assume all mappings to be measurable.

Let ((Z,mathcal{B}(Z))) be a measurable space and (pi(dv)) a σ-finite measure on it.

Let ((mathcal{X,U})) be a measurable space and let μ and ν be two probability measures defined on it.

A tone is not a point on a musical plane; it is a measurable space with top and bottom limits.

We consider a random variable Y and approximations Yn, n∈N, defined on the same probability space with values in the same measurable space as Y.