Sentence examples for using the conditions of from inspiring English sources

Using the conditions of Theorem 3.1, we have (3.9).

Run 9m has been performed by co-spray using the conditions of run 7, performed by sequential sprays, and run 10m has been performed by co-spray, using the conditions of run 6, performed by sequential sprays.

The geometry of both heat exchangers was optimized using the conditions of thermolators in LNG regasification systems.

Finally, by using the conditions of the existence theorem of the solutions to (SVQEP) (see [1]), we obtain sufficient conditions of the well-posedness for (SVQEP).

But, by using the conditions of the aforesaid theorems we note that the operator T in these theorems is in fact strongly monotone.

Similarly, by using the conditions of Theorem 3.2 [38], we note that the operators T and g are in fact strongly monotone.

The goal of this section is to prove some multiplicity results for (3.2) using the condition of two pairs of strict upper and lower solutions.

Kaluszka et al. [2] studied the Jensen inequality (1) for the generalized Sugeno integral by using the condition of monotonicity instead of the condition of convexity.

Thereafter, the generated coordinates were submitted to InSilicoTEM for projection generation using the condition of 200 kV acceleration voltage and 2 Å/pixel in a CCD camera.

The following proposition uses the conditions of [43] for stability (and uniqueness) for a special case.

In addition, Abu Taghlib used the conditions of near-anarchy prevailing in Syria at the time and after Sayf al-Dawla's death to expand his territory at the expense of his cousin, Sa'd al-Dawla.