Sentence examples for bounded as a from inspiring English sources

Thus, ({ x_{n} } subset X) converges to some (a in X) (Definition 2.3) and it is bounded as a result.

Since (p ne q), the right side of (3.12) is not bounded as a function of δ.

Then the Bergman projection P is bounded as a map from (L^{p} phi)) to (mathcal{F}^{p} phi)).

Nover and Hájek (2004) rebut Jeffrey, arguing that even if all utility functions are bounded as a matter of contingent fact, unbounded utility functions are a conceptual possibility, and that they may be useful for developing idealized models of actual agents.

It is well known that (mathcal{F}) is bounded as a map from (L^{1}) to (L^{infty}) and also as a map from (L^{2}) to (L^{2}).

Then (mathcal{F}) is bounded as a map from E to F. We simply put (L^{1}=L^{1}(mathbb{R}^{n})) and (L^{infty}=L^{infty }(mathbb{R}^{n})).

Procedure-related complications were bounded as an intraprocedural aneurysm perforation, thromboembolic complications, or any other complications associated with the endovascular procedure and recorded.

The method converges in probability (with probabilistic error bounds) as a consequence of sparsity and a concentration of measure phenomenon on the empirical correlation between samples.

This region, p, is bounded as in a wild-type FBA model, with the additional constraint that it includes only flux configurations with nearly optimal growth.

Having obtained an estimate for the incidence, we still need a confidence bounds as an assessment for the precision of the estimate.

Sex, childbearing and childrearing -- which marriage once bound as tightly as an atomic nucleus -- have been disaggregated.