measurable space

measurable space

[′mezh·rə·bəl ′spās]
(mathematics)
A set together with a sigma-algebra of subsets of this set.
References in periodicals archive ?
Let X be a measurable space whose cardinal is larger than continuum.
3) Let us consider the measurable space Ow = (B(H), [B.
By a measurable space, we shall mean as usually the pair ([OMEGA], [summation]), where the set [OMEGA] is equipped with a [sigma]-algebra [summation] of subsets.
Let ([OMEGA], [summation]) be a measurable space and Y be a separable metric space.
The material is grouped by session, with individual paper topics that include model checking multivariate state rewards, a prediction model for software perfomance in symmetric multiprocessing environments, and the measurable space of stochastic processes.
Some terms: measurable space, probabilistic space, elementary event, the space of elementary events, sigma algebra, complex event, the function of probability, the probability of events, axioms of probability theory and Borel [sigma]-algebra as defined in (Sarapa, 1993).
Let (X, [OMEGA] )be a measurable space where [OMEGA] is a non-empty class of subsets of X.
Bonnefoy concludes that Masaccio used both metaphysical and measurable space and time.
If (X,F) is a measurable space and Y is a topological space, the multifunction [PHI]: X [right arrow] [2.
The neutrosophic measurable functions and their neutrosophic measurable spaces form a neutrosophic category, where the functions are arrows and the spaces objects.
Both extensions include measurable spaces on the ground floors (clean room area in IPT) and office space for the evaluation of research on the upper floors.