Sentence examples for following simpler from inspiring English sources

Then, on making use of Corollary 2.7, we may state the following simpler results: (2.20).

If (sigma_{12}=sigma_{21}=0), then we have the following simpler result.

Then, on making use of Proposition 3.3, we may state the following simpler results: (3.9).

Kim and Xu [14] proposed the following simpler modification of the original Mann's iterative process: Let C be a nonempty closed convex subset of a Banach space E and T : C → C a nonexpansive mapping such that F ( T ) ≠ ∅.

We use the following simpler model [36] for the outage probability in order to estimate N l for each layer: begin{array}{*{20}l} N_{l} &approxfrac{S_{l}+log_{b} {P^{l}_{text{out}}/a}}{delta_{l}}, qquad 0<P^{l}_{text{out}}leq a, end{array} (20).

Higher order terms can be straightforwardly computed for the evolution operator but these terms display diagrams containing the following simpler ones that, being closed loops, imply the presence of diverging integrals having no mathematical meaning.

The structure-activity mapping follows the following simple rules: 1.

The following simple result follows trivially.

They're just following simple rules.

Consider the following simple but scary example.

The following simple case is discussed in detail:.