Sentence examples for measures in the space of from inspiring English sources

We define a one-parameter family Lθ of sigma-finite (finite on compact sets) measures in the space of distributions.

In order to explain fine-tuning, the multiverse proponent would still have to show that the life-permitting universes do not have zero measure in the space of all universes (Koperski 2005, 307 309).

Likewise, if a property has zero measure in the space of possible universes, and yet that property is observed, its existence would still require an explanation (Earman 1987, 315).

An iterative variance reduction scheme is used in a framework of a measure change in the space of sample functions according to the Girsanov transformation, which is based on introducing a Markov control process.

random clusters attached to points of a Gibbs configuration with distribution g) is studied via the projection of an auxiliary Gibbs measure ˆg in the space of configurations γˆ="{ x,y¯)}⊂X×X, where x∈X indicates a cluster "center" and y¯∈X:="⊔nXn represents a corresponding cluster relative to x.

For the measures of noncompactness in the space of bounded subsets in the space we have similar formulas to those given in Theorem 6.6.

We first establish some results on Kuratowski measure of noncompactness in the space of regulated functions.

We firstly establish a property of the measure of noncompactness in the space of piecewise continuous functions.

We first establish some useful results on the Kuratowski measure of noncompactness in the space of regulated functions.

Some properties of the Kuratowski measure of noncompactness in the space of regulated functions (G(J X)) are established in the first part.

Next, we will provide some results on the Kuratowski measure of noncompactness in the space of regulated functions (G(J X)), which generalize those in the space of continuous functions (C(J X)) in [34].