Sentence examples for application of dominated from inspiring English sources

A direct application of dominated convergence theorem shows that the right hand side converges to 0 as N → ∞ since s N exp ( − s b N a 0 ) is a bounded function uniform in N and s.

Moreover, the function I ( N ) is C ∞ on N since all their derivatives can be computed by differentiating under the integral sign by direct application of dominated convergence theorems and differentiation theorems of integrals with respect to parameters.

Then, a direct application of the dominated convergence theorem and continuity theorems of integrals with respect to parameters show that the function I ( N ) is continuous on N on [ 0, ∞ ).

Proposition 4.1.2 We have G μ ⟶ μ → ∞ G ∞. Proof It is a direct application of the dominated convergence theorem using the fact that: S ( μ y ) ⟶ μ → ∞ H ( y ) a.e.

For the past century this area of application was dominated by antibodies, which were traditionally generated via immunisation of animals but have recently also become available by means of protein engineering methods.

Moreover, we specifically limit ourselves to the scope of applications dominated by dynamically allocated data types running on embedded systems.

The analysis shows that reports about the applications of nanotechnology dominate the media coverage.

We now deduce that T x m → T x in C 1 ( I ) thanks to standard properties of the Green's function and a straightforward application of Lebesgue's dominated convergence theorem.

The proof in the case \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H(F^{(1)})\mathrm{(iiib)}$$\end{document} H (F (1 ) ) (iiib ) follows by a direct application of the Lebesgue dominated convergence theorem.

For the second month, this new guide to the most regularly downloaded Java applications is dominated by conversions of ancient coin-operated games such as Space Invaders and Pac-Man.

In the case of Google App Engine, the application latency is dominated by the time taken to complete a datastore write operation.