Sentence examples for by the direct calculation from inspiring English sources

Moreover, from (10), (11), identity X ∗ U = U ∗ X, and by the direct calculation, we obtain.

By the direct calculation, we get m = 1 and M = γ, and f0 = ∞ and f∞ = 0 in case of γ = +∞.

By the direct calculation, there exists a unique constant positive equilibrium denoted by (E_{ast} u_{0}, v_{0})) if and only if the following cubic equation au^{3}+biggl(frac{delta}{beta}+b-a biggr)u^{2}+ 1-b u-1=0 u^{2}+ 1-b u-1=0 u^{2}+ 1-b u-1=01)).

The more accurate predictions provided by the direct calculations methods show that the actual hull girder reliability in sagging is significantly smaller.

However, this technique today is almost completely overcome by quantitative techniques, consisting of the direct calculation of T2 or T2* by fitting an appropriate decay model to the average signal intensity at various echo times [ 12- 15].

Furthermore, the accuracy of these curves was analyzed by the direct modeling calculation.

We obtain the proof by direct calculation of the index m.

(c) We obtain the proof by direct calculation of the index m.

Serial whole-body micro-PET images were performed at 1 week (PET-1) and 20 weeks after the end of treatment (PET-2) in the treated mice to monitor the tumor volume by a direct calculation of the volume of interest (VOI) estimated semiquantitatively.

Then, by a direct calculation, the set Π is Pi= biggl{ frac{9}{7}ninmathbb{bb{Z} biggr} cup biggl{ frac {5}{3}ninmathbb{bb{Z} biggr} :=S_{1}cup S_{2}.

Then, by a direct calculation, the set Π is Pi= biggl{ frac{3}{2}ninmathbb{bb{Z} biggr} cup biggl{ frac{3sqrt {2}{{2}n, ninmathbb{Z} biggr} :=S_{1}cup S_{2}.