Sentence examples for be a complete probabilistic from inspiring English sources

Let ((X, F,Delta) ) be a complete probabilistic Menger space such that Δ is a t-norm of H-type.

Let E be a nonempty set, S be a measurable space which consists of some metrics on E, ((Omega, P)) be a complete probabilistic measure space and (f : Omegarightarrow S) be a measurable mapping.

Let X be a nonempty set, S be a measurable space which consists of some metrics on the X, ((Omega, P)) be a complete probabilistic measure space and (f : Omegarightarrow S) be a measurable mapping.

Example Let X be a nonempty set, S be a measurable space which consist of some metrics on the X, ( Ω, P ) be a complete probabilistic measure space and f : Ω → S be a measurable mapping.

Let E be a linear space, S be a measurable space which consists of some norms on E, ((Omega, P)) be a complete probabilistic measure space and (f : Omegarightarrow S) be a measurable mapping.

Let ((X, F,Delta) ) be a complete probabilistic Menger space such that Δ is a t-norm of H-type, and (A,B subseteq X ) be such that (A_{0} ) is a nonempty closed set.

Then, ( S, F, T ) from Proposition 3 is a complete probabilistic metric space.

Then ((M,F,tau_{T_{M}})) is a complete probabilistic b-metric space with (s=2^{n-1}).

Clearly, ((X,F,Delta_{m})) is a complete probabilistic Menger space.

A PN space ((X,nu, Delta) ) is said to be a probabilistic Banach space if ((X,F^{nu}, Delta) ) is a complete probabilistic Menger space.

Since P is closed and ((X,N,T)) is a complete probabilistic normed space, there is (x^in P) such that ({u_{2n}}) converges to (x^).