Sentence examples for use the assumptions of from inspiring English sources

On the other hand, in the case of (Aneq0), we do not use the assumptions of the compactness and equi-continuity of the (C_{0} -semigroup in this paper, just assume that the (C_{0} -semigroup (T(t)) ((tgeq0)) in posithis and satisfies the condition (H1).

But despite all this technology, there are still workarounds, still ways to trick the system, to use the assumptions of machine intelligence, or even more so, the assumptions of its designers and users, against it.

We use the assumptions of Agrawal and Lively [ 14] inspired by Parker [ 13] to connect the two popular models by a single parameter, but also provide an alternative, linear interpolation in the discussion.

In addition, it is must be noted that we do not use the assumption of the small angles to ignore the product items.

Benito et al. (2013) also use the assumption of simultaneity.

For the estimation of k, we use the assumption of i.i.d.i.d

We do not use the assumption of constant regional concentrations of the transporter (Eq. (50)).

The figure of 594 μM [ 8] used an assumption of 0.4 g of water/g of pelleted cells, which corrects to 371 μM if we use the assumption of 0.64 g of water as determined above.

Using the assumptions of the nonpartisan Congressional Budget Office, the surplus runs out in 2052.

This astounding relationship between a particle's spin and its quantum behaviour can be proved mathematically using the assumptions of quantum field theory.

The dynamic equations of motion for cylindrical laminated shells are derived using the assumptions of Love's theory of thin elastic shells.