Sentence examples for we proved for from inspiring English sources

The main theoretical result which we proved for any shows that the ordered partition which maximizes the minimum rate can be found with a low-complexity algorithm.

We proved, for example, that if G is a separable locally compact group with a compact neighborhood of the identity invariant under inner automorphisms, then the Fourier Stieltjes algebra of G has the weak∗ fixed point property for left reversible semigroups if and only if G is compact.

We proved, for the first time that miR-143 is a tumor suppressor in mice.

Finally, we proved for the first time that the traditional method is not valid for the KcsA model, and the cycle flux algebra gave the exact solution.

Here we proved for the first time the existence of STRO-1+, CD271+ and CD133+ cells in different areas of the pedicle and the primary and regenerating fallow deer antler.

Using exhaustive search, we proved for the first time that there is no single motif specifically associated with the majority of eRNAs.

Firstly, we prove for.

Now, we prove for (ii).

Now we prove for all and hence.

Step 2. We prove for any.

Now we prove for with, that is, (2.8).