Sentence examples for as we can deduce from inspiring English sources

The new morphology of gold nanostructures is apparently independent on the morphology at the nanoscale of the block copolymer film as we can deduce by the comparison of Figure 5a and 5c.

The thalassoid condition of Metacrangonyx longipes is supported in our study as we can deduce at least three independent episodes of colonization of fresh inland groundwaters from primary anchialine, brackish water ancestors.

Using the same analysis method as in [22], we can deduce that for n ≥ n , J n ( r n ) − J ( r ′ ) ≤ ε, which gives (4.13) as desired.

Hence, R is contained in (D_eta ) for all (eta ) close to 1. Thus, as above, we can deduce that (Omega _{BS} eta )) is connected.

Assume that (Vert u_{n-1} Vert le K), by the same process as above, we can deduce that (Vert u_{n} Vert le K).

Since B is a β-inverse strongly monotone map, repeating the same argument as above, we can deduce that ( I - δ n B ) x - ( I - δ n B ) y ≤ x - y. (13).

As above, we can deduce from (2.15) that lim sup n → ∞ 〈 C ( λ 0, x n ), x n − x 0 〉 ≤ 0. Since C satisfies condition ( S + ) and is demicontinuous, we obtain from (2.14) that x n → x 0 and u n ∗ ⇀ − C ( λ 0, x 0 ).

Using a similar argument as that of, we can deduce that.

As special cases, we can deduce the corresponding results given in these works from Theorems 2.1-2.6 2.1-2.6

As a consequence, we can deduce the results represent a good approximation in a regime of weak nonlinearities U.

As in (103), we can deduce the decay rates of higher order derivatives for the magnetic field by Lemma 3.8, Lemma 3.16 and (100).