Sentence examples for we remark from from inspiring English sources

We remark from (15) that the variance depends on the power-delay profile of the channel.

On the other hand, we remark from Fig. 13 that the more we decrease the predistortion order, the more the EVM increases.

We remark from the above definitions that the class of quasi-ϕ-asymptotically nonexpansive multivalued mappings contains properly the class of quasi-ϕ-nonexpansive multivalued mappings as a subclass, and the class of quasi-ϕ-nonexpansive multivalued mappings contains properly the class of relatively nonexpansive mappings as a subclass.

We remark from Fig. 7 that the shape of the on-surface curve results are similar for the two calculation types, DFT and DFT + U, in that on-surface energy oxygen adsorption are at the same order of magnitude for the Top U and Top N cases and maxima positions are practically at the same distance from the surfaces.

We remark that from (2.11), (2.12), it follows that there is a constant such that (3.18).

In order to show that we remark that from the definition (2.14) of it follows that at least one of the following three equalities holds: (2.17).

Finally, in order to derive expression (16) for the error p(t k |t n ) associated with the above estimate, we remark that, from the orthogonal projection lemma, this function can be expressed as p ( t k | t n ) = r s ( t k, t k ) - E [ ŝ ( t k | t n ) ŝ * ( t k | t n ) ].

We remark that it follows from Hölder's inequality that if and if is of -oscillation, then is of -oscillation.

We remark that the reduction from the non-linear problem to the linear is also valid in the two dimensional case [98].

We remark that it follows from Hölder's inequality that if s ≤ q and if u is of q, k -oscillation, then u is of s, k -oscillation.

We remark that it follows from Hölder's inequality that if s ≤ q and if u is of the type of an q, k -oscillation, then u is of the type of an s, k -oscillation.