Sentence examples for the propositions below from inspiring English sources

Using Corollary 2.5, we can prove the propositions below.

There are some natural examples of composite functionals that are embodied in the propositions below.

The equations needed for the E- and M-steps are summarized in the propositions below.

The result is presented in the proposition below.

We require the proposition below in proving Theorem 3.1.

The proposition below establishes a Lipschitz discrete dependence of the solution with respect to the data.

Using (5), we can state the channel estimation problem as shown in the proposition below.

Some properties of averaged mappings are gathered in the proposition below.

The proposition below establishes an (L^{infty } -stability property of the solution with respect to the data.

Indeed, this common structure (formulated as the proposition below) was previously reported in [20, 45, 49] among others.

The proposition below shows the number of integers in N k and the first-order difference of the last integer in N k.