Sentence examples for utilizing the above equations from inspiring English sources

Utilizing the above equations, mesh stiffness of a pair of spur gears (gear parameters are given in Table 1) is evaluated for each of the three pitting severity levels as shown in Figure 2.

By utilizing the above equation, MTBF can be expressed as a function based on fuzzy numbers.

The paper concludes by showing that the power balance equations can, by utilizing the above expressions, be framed in terms of the subsystem velocities/sound pressures rather than in terms of subsystem energies.

Utilizing the above two lemmas, we can prove that the degenerate parabolic equation (1.1) admits a strictly increasing traveling wave solution whose range is ((v_{2k-1},v_{2k+1})).

Moreover, one may suggests multi-connection, utilizing the above method.

In the above equations, we utilize the fact that x 0 and y 0 are independently uniformly distributed over the range [−1,+1].

In this article, the Taylor expansion is utilized to estimate the above equation.

In our proposed mechanism, realtime information such as live wireless communication conditions is utilized to drive the above equation and therefore it is expected that additional artificially induced noise like in[31] is not necessarily if there is already sufficient noise on this live traffic information depending on the quality of wireless communications.

Compare the above equations.

The above equations are W-H equations.

Combining the above equations (Eqs.