Sentence examples for assumptions below from inspiring English sources

The assumptions below are for the box model, as shown in Figure 8, and may not hold for models used for specific studies, geometrical nonuniformity or CP longitudinal coupling, for example.

All the assumptions below were based on a married couple filing jointly and without considering the alternative minimum tax, a parallel tax system aimed at a certain slice of high earners that excludes many deductions.

To continue our study, we make some assumptions below.

Items 1 5 give a detailed explanation of each component of the assumptions below.

where the initial data satisfy certain compatibility conditions as usual and some additional assumptions below, and whenever.

In order to allow readers to comprehend the consequences of these specific modeling choices we discuss effects of what we consider straightforward alternative modeling assumptions below.

I will relax this assumption below and introduce an upward-sloping foreign export supply curve for y.

We examine the validity of this assumption below; other details are available online (http://www.spatcontrol.net/articles/Barbu2014/suppMet.pdf).net/articles/Barbu2014/suppMet.pdf

The most general form of the equipartition theorem states that under suitable assumptions (discussed below), for a physical system with Hamiltonian energy function H and degrees of freedom xn, the following equipartition formula holds in thermal equilibrium for all indices m and n: :\! \Bigl\langle x_{m} \frac{\partial H}{\partial x_{n}} \Bigr\rangle = \delta_{mn} k_{B} T.

As previously noted, the assumptions described below are similar to those in the previously published economic model among the US Medicare population.

This formulation incorporates the assumption, elaborated below, that the bundle's inertia can be neglected in the description of its dynamics.