Sentence examples for applications of obtained from inspiring English sources

In Section 5, we give two simple examples to illustrate the applications of obtained results.

This is motivated by direct applications of obtained results or there are some problems in the proposed proofs.

They showed therein that the system begin{aligned} z_{n+1}=frac{w_{n}^{a}}{z_{n-1}^{b}},qquad w_{n+1}=frac{z_{n}^{c}}{w_{n-1}^{d}}, quad nin mathbb {N}_{0}, end{aligned} (3) where (a,b,c,din mathbb {Z}) and (z_{-1}, z_{0}, w_{-1}, w_{0}in mathbb {C}), is solvable in closed form and presented numerous applications of obtained formulas.

Potential applications of obtained products in various areas of industry and agriculture are shown.

This is followed by real-world applications of obtaining these similarity-based shape relationships.

As an application of obtained results, we prove some fixed point theorems in partially ordered 2-metric spaces.

In Section 5, we will discuss the application of obtained abstract results to periodic boundary value problem (1.2) and use this example to illustrate the obtained abstract results.

In this section, as an application of obtained results we prove some fixed point results in partially ordered 2-metric spaces.

Moreover, as analyzed above, the sloppy side walls after development process lead to the rough and not straight patterns on semiconductor as shown in Fig. 6b, which were detrimental for the application of obtained nanostructures.

Saturation was achieved among the three participating groups in the themes of impact of participation in the CME and obstacles to application of obtained skills.

Consistent redundancy of information was observed among all three participant groups in the themes of 1) impact of participation in the CME, and 2) obstacles to application of obtained skills.