Sentence examples for proved in this section from inspiring English sources

The results proved in this section are also new.

The main result in this paper is proved in this section.

Theorems proved in this section can also be extended to negative intervals to prove the existence of negative solutions.

In contrast, the rotational range around the other axis can also be considerably large, which is proved in this section by taking the 2-UPRR/UPR mechanism as an example.

Here we must remark that the conditions (H1 - H8) given above are at least sufficient, because it is an open problem to prove that they are also necessary or to find an example which points out clearly that the mentioned conditions are not necessary to get the main result proved in this section.

All the results proved in this section are "upper bounds" and therefore it is easily seen that they are valid for any threshold θ ≥ 0.

The property of stabilization is also proven in this section.

According to [25], a number of bounds on forecasting errors are theoretically proven in this section.

Therefore, the necessity of the power control is also proven in this section.

However, we shall prove in this section that the blow-up of problem (1.1) will occur only at the boundary of the domain in some cases.

So far this has not proved popular.In this section Out of the comfort zone Into the meat-grinder Feast and famine Barrel of laughs The iron lady Move over, brother Correction: Somalia ReprintsCremation could provide a solution.