Sentence examples for applying assumptions from inspiring English sources

Applying assumptions of shear rigidity of skin layers and moments-free core layer as well as approximations of thin shallow shell, a reduced form of governing differential equations is proposed.

After applying assumptions, that was reduced to 16%to31%1% (Table 3).

After applying assumptions about missing information, these data were missing for only 5%to10%0% of patients.

The base cases showed that none of the generic plants were economically attractive, however, applying assumptions of achievable improvements the scenarios became economically feasible.

We manage this problem by applying assumptions that represent two clinically extreme scenarios, 'no misclassification at all for patients without resection' and 'misclassification at random'.

Additionally, the tests are considered robust because a nonparametric approach was used for the comparisons, which eliminates the need for applying assumptions on the underlying distribution.

end{aligned} Applying assumption ((A_{3})), we obtain the condition (9).

Choosing and applying assumption (H1)(f4), inequality (4.8) along with the Steklov eigenvalue problem in (1.4) implies that (4.9).

By applying assumption in (6.2) again and the maximality of (x^), we have (Tx^subseteq{x^), which proves (6.2), and the proof is complete.

On the other hand, from x ≼ b and u ∈ F ( x ), applying assumption A1, there is v ∈ F ( b ) such that x ≼ u ≼ v ; and hence x ∈ S F ( b ) for every x ∈ C. It implies C ⊆ S F ( b ).

Since x − i ⪯ − i y − i, by applying assumption 2 in this theorem, there is w i ∈ B i ( y − i ) with z i ⪯ X w i, for i = 1, 2, …, n.