The main results in this work are the log-convexity theorems of a two variables functional of measurable operators (see Lemma 3.10 and Theorem 3.11), which are generalizations of the results of Bourin and Lee [1].
Using this framework, and building on the TVLA system for static analysis of programs, we develop a novel approach for computing generalizations of classical plans by identifying sequences of actions that will make measurable progress when placed in a loop.
Integral generalizations of the concept of arithmetic mean in the finite measure spaces are the integral arithmetic mean or the barycenter of measurable set and the integral arithmetic mean of integrable function; see [[3], p.44].
These are generalizations, of course.
Know people and not their generalizations of their classification.
The small sample size constrains the generalizations of these findings.
The methods are not generalizations of the majority-rule consensus.
A vector measure is a vector-valued generalization of a measure; for example, if p1 and p2 are probability measures defined on the same measurable space, then the product function p1 p2 is a vector measure, where p1 p2 is defined for every event ω by :(p1 p2)=(p1, p2. Lyapunov's theorem has been used in economics, in ("bang-bang") control theory, and in statistical theory.
Some problems, particularly the problem of the convergence of measurable functions with respect to a measure, lead to a generalization of notion of a metric.
The proof of this round generalization of an entire generation?
