Sentence examples for obtain weaker from inspiring English sources

Given any harmonic function with its negative part satisfying similarly fast-growing conditions, we obtain weaker boundary integral condition.

If in Remark 2.3 we put (f(x)=x) and (g(x)=x), we can obtain weaker conditions instead of equality (6.3) under which inequality (6.5) holds.

We find that more experienced VCs, who have superior abilities and more frequently join the boards of their portfolio companies, obtain weaker downside-protecting contractual cash flow rights than less experienced VCs.

In this respect, it is normal to obtain weaker results once compared with inequalities in referenced studies, because the inequalities written herein were considered to be more general than the above-mentioned classes, and it was taken into account to be super-multiplicative or super-additive material.

For this purpose, we obtain weak and variational form.

However, their iterative algorithms only obtain weak convergence.

We obtain weak and strong convergence theorems of the proposed iteration in uniformly convex Banach spaces.

We obtain weak and strong convergence results for the sequences generated by these processes.

We obtain weak convergence theorems for sequences generated by this process in a real Hilbert space.

We obtain weak convergence for the general case andstrong convergence for certain special cases.

For that reason we obtain weak admissible Euler solutions including arbitrarily complicated shock interactions.