Sentence examples for infinite measures from inspiring English sources

So we need the condition Φ 1 ≺ Φ 2 ( T = 0 ) for infinite measures.

To model the everyday movement of ordinary quoted stocks under the market pressure of many agents, an infinite measure is appropriate.

In [5] a similar result to the Berezin inequality (1) has been established for the Dirichlet Laplace operator on the set (Omega ) of infinite measure.

Just as the absolute divine "face" or mind is the infinite measure of all the creaturely minds that are its images, so the human mind measures the determinate conceptual realities that reflect its own finite unity or oneness.

The space L M is reflexive if and only if M and M ¯ satisfy the Δ2 condition, for all t or for t large, according to whether Ω has infinite measure or not.

In the case when Ω has infinite measure, we were unable to show that (8) is a necessary condition for the equi-absolute continuity of the composition operator (c_{tau}).

The equality (E_{M}(Omega)=L_{M}(Omega)) holds if and only if M satisfies the (Delta_{2}) condition for all t or for t large according to whether Ω has infinite measure or not.

One can easly show that however that if there exist infinite sequences ((r_{1_{n}})) and ((r_{2_{n}})) such that begin{aligned} M_{f}(r_{1_{n}},r_{2_{n}})>e^{C_{n}(r_{1_{n}}+r_{2_{n}})}, quad C_{n}rightarrow infty, end{aligned}then there exist a set of (r_{1}+r_{2}) of infinite measure with the same property.

In the case when (Theorem 2.12 iii)) the joint subset of the domain of where the primary self-maps building are either strictly contractive or large contractive has infinite measure, what leads to the same conclusions about the existence of fixed points as in the two former cases, although it is not necessarily connected.

This leaves open the possibility that a process which lasts an infinite amount of time when measured within reference system O may last a finite time when measured within a different reference system O′.

The physical counterpart of the problem is that it would require an infinite amount of energy to measure a field at a point of space-time.