Sentence examples for proceeding as in from inspiring English sources

The result follows proceeding as in Case ii(c).

Using this estimate in (11) and proceeding as in part (1), we may conclude.

Now, proceeding as in Case 1, we have that (2.3) holds.

Using (29) and proceeding as in Case 1 above, we arrive at the desired conclusion.

For this reason, proceeding as in [34], we refine the previous construction as follows.

Now, proceeding as in the proof of the initial boundary value problem, we get (23).

By proceeding as in the proof of Theorem 4.1 one can show that (4.31).

Now, proceeding as in Case 1, we see that (2.5) holds.

This result easily follows by proceeding as in the proof of previous theorem and by replacing (2.1) by (2.2). □.

Then proceeding as in the previous case we need to compare v and (Phi ) on ((B_Rbackslash B_rho )cap partial Omega ).

Defining the function ω by (3.5) and proceeding as in the proof of Theorem 3.1, we arrive at inequality (3.6).