Sentence examples for following equivalent from inspiring English sources

Then, the following equivalent form is derived.

Recall the following equivalent form of [26, Theorem 8.2].

In particular, for, we have the following equivalent inequalities: (3.13).

then one has the following equivalent inequalities: (3.2). (3.3).

Thus, Definition 1.1 has the following equivalent form.

We can reformulate Theorem 2.1 in the following equivalent form.

We transform IBVP (1.1) into the following equivalent form: (2.1).

Theorem 3.1 can be put in the following equivalent form.

The following equivalent definition for local uniform Opial condition holds.

It is not hard to prove the following equivalent theorem.

We have the following equivalent to Proposition 2.