Sentence examples for given this simplification from inspiring English sources

Given this simplification, direct liquefaction can be illustrated as follows: Direct liquefaction of coal can be achieved with and without catalysts (represented by R), using high pressures (200 to 700 atmospheres) and temperatures ranging between 425 and 480 °C (800 and 900 °F).

Given this simplification of the CA model, the ODE model was constructed so as to be compatible with it.

While our model does to some extent simplify the manner in which deleterious mutations mechanistically arise and are removed from the influenza viral population, we make the most biologically reasonable assumptions possible given this simplification.

If, then, and if, then f = 0. Given these simplifications, we can rewrite the recurrence as That is, we optimize separately for the case of incorporation and for the case of no incorporation, taking the maximal value of the two.

In practice, this manual procedure permitted the identification of a group of models having much smaller variance than the others and a simplification was to give this group unit weight and most of the others zero weight.

Use of the approach proposed here is thus justified in practical applications, given the considerable simplification they bring to the calculation.

Using the same assumptions, the collision rate constant β can be estimated using the average particle diameter for the size-independent system and is given by a simplification of Eq. 3 for the monodisperse case: β N = 4 3 d ¯ 3 γ ¯ (7).

The ratios of B for and based on equations (16) and (17) is given by For simplification, let kd2 = kd3 = kd4 = 1.

On the basis of the initial IADPSG recommendations, consideration has been given to a simplification of the testing procedure, with for example, the use of only the fasting or the fasting and the 1-h sample.

It was verified that this simplification gives almost the same total response as calculating the response separately for each year (Fig. 1).

A detailed description of the thermodynamic equations which govern gas flow rate into the bubble is given and simplifications of these equations are discussed.