Sentence examples for much greater generality from inspiring English sources

The lemma is proved in much greater generality in [20].

The other two methods both yield satisfactory results while requiring no empirical information, and thus allow a much greater generality.

The main differences between the two approaches are the somewhat doubtful expression employed by Cooper and Harrison for the "cut-off" radius for ion ion interactions, and the much greater generality of the earlier theory.

Riemann's basic scheme makes allowance for much greater generality than he actually reaches for; but, in his judgment, it should be enough for the time being to characterize the geometry of continuous manifolds in such a way that it agrees optimally with Euclidean geometry on a small neighborhood of each point.

The result of Theorem 3.1 is actually true in much greater generality: namely, for distributions of functions of Markov chains {Y n }, where the underlying Markov chain {X n } has strictly positive transition probability matrix P, see [15] for review of several results of this nature.

Posey had a much greater impact Thursday.

It has a much greater decorative effect.

But China had much greater ambitions.

"To provide a reason for a decision," Frederick Schauer wrote in The Stanford Law Review in 1995, "is to include that decision within a principle of greater generality than the decision itself".

Banking regulators advocate much greater caution.

And the impact might be much greater.