Sentence examples for next we stated from inspiring English sources

Next, we stated some important conditions used in the proof of our results.

Next we state the following complementary result.

Next we state the integral equation associated with BVP (1.1).

Then we have lim_{nrightarrowinfty}|x_{n} -y_{n}| = 0. Next we state the main result of this section.

Next we state a result related to Theorem 3.11; since the proof is immediate from Theorem 3.11, we omit it.

Next we state an error estimate for our scheme (3.1) for the linear case (f u)=u).

(2) System (1a -(1e) is then reduced to the following system: with In the next section, we state the definitions and lemmas needed to prove the main results.

For the next result, we state an old chestnut concerning connected spaces.

In the next section we state the problem addressed in this work.

In the next section, we state Probabilism precisely, so that we can refer back to it later.

In the next section, we state some notations and preliminary results in the standard theory of Besov spaces.