Sentence examples for equivalent relation from inspiring English sources

However, it seems difficult to give a strict proof for the above equivalent relation (1.6) and its related counterpart due to the lack of a uniform change of the coordinates independent of j.

Moreover, the following equivalent relation between inequality (94) and Theorem 4 was found in [56, 57].

We can easily see that this relation is an equivalent relation.

In this section, we give an equivalent relation between KKMP and SFBFP.

Meanwhile, an equivalent relation between temperature load and vapor concentration load is presented.

Also, they involve the group adjoint representation which establishes an equivalent relation among all conjugate sub-algebra elements.

We establish equivalent relations between the symmetric dual problem and its related vector matrix game.

Moreover, we give an example illustrating the equivalent relations.

Using the equivalent relations, we obtain ε- optimality conditions for (weakly) ε- efficient solution for (MFP).

The proof of the equivalent relations of, and can be found in [3].

The proof of the equivalent relations of can be found in [1, 2, 4, 5].