Sentence examples for thus we obtained from inspiring English sources

Thus, we obtained the numerical solution of PDAEs.

Thus, we obtained the T profiles with the five RASS beams on the same height coordinate.

Thus, we obtained mean opinion scores (MOS) which are demonstrated in Table 3.

Thus, we obtained cpm1 (t) and cpm2 (t) at each concentration.

Thus, we obtained 105−zeros values of Z0 and 105 values of Z1.

Thus we obtained complete characterizations of exposed points, which is stated clearly in the following theorem.

Thus, we obtained eight final scores indicating the total amount of each emotion.

Thus, we obtained that u is a fixed point for T and (q u,u =0).

Thus we obtained 16 EEM parameter sets, including their quality criteria.

Thus, we obtained two different consonant positions (intervocalic initial and medial position).

end{aligned} Hence (3.12) and (3.18) are equivalent, thus we obtained the characterization of the optimal control w. □.