Sentence examples for based on small perturbations from inspiring English sources

Based on small perturbations in the orbit of Uranus, John Adams and Urbain Le Verrier predicted the position of another, more distant planet.

Finally, we want to point out that all these analyses are based on small perturbations of relative parameters according to the definition of response coefficient.

Identifying specific mechanisms from expression data based on small molecule perturbations remains challenging, and requires significant additional functional studies.

Known results, based on a small perturbation or linear approximation, are recovered and the formulation developed enables systematic refinements, outside the scope of linear theory, to be found.

However, while our main result Theorem 4.6 focused on small perturbations, let us briefly address the case of larger perturbations.

The approach consists of a nonlinear analysis based on a small-amplitude perturbation of an exact solution.

All three error rates are significantly smaller (t-test on all three rates, p < 10-16) compared to the error rates based on random perturbations as shown in Figure 1(b).

Modeling provides the ability to infer functions and make predictions based on network perturbations [ 1- 6].

Robustness is estimated based on 50 perturbations (i.e. parameters), or less in case of fast convergence.

The present work serves as an extension of earlier derivations of boundary integral equation statements based on the perturbation approach by removing the assumption of small fluctuations of key medium properties about their mean values.

A stochastic optimal control procedure, based on a perturbation criterion, is developed to study effects of small travel speed variations on active suspensions of vehicles.