Sentence examples for under particular assumptions from inspiring English sources

The aim of the present paper is to provide multiplicity results regarding homoclinic and heteroclinic solutions for equation (1.1) under particular assumptions on the weight function a ( t ).

In a response to this criticism, Hagan et al. (2002) showed that a corrected version of Tegmark's model provides decoherence times up to 10 to 100 μ sec, and it has been argued that this can be extended up to the neurophysiologically relevant range of 10 to 100 msec under particular assumptions of the scenario by Penrose and Hameroff.

For example, a number of groups have developed models to project how malaria might spread under particular assumptions about changes in temperature and precipitation (e.g., Martens et al. 1999; Rogers and Randolph 2000; Tanser et al. 2003; Van Lieshout et al. 2004).

Furthermore, we also present a probability approach to the method of Lyapunov functionals to analyze function projective synchronization in the dynamical network under a particular assumption.

Hence, xPz must be independent of these particular assumptions.

For the nonstationary state, no particular assumption is made.

Current evidence on students' tool-use within CMS supported courses however tackles this assumption and indicates that CMSs may empower students' learning only under particular learner-related conditions.

Zarif came under particular attack.

American nuns have come under particular scrutiny.

European banks are under particular pressure.

Governments are under particular pressure.