Sentence examples for above useful from inspiring English sources

Detailed explanations via transmission spectra, distribution of molecular projected self-consistent Hamiltonian states are given to the above useful phenomenon.

Then it seems that the proposed method can avoid the oversmoothness of the reconstruction results by utilizing the SSIM index including the above useful term.

With the above useful property of G α, it is not hard to prove that the space F is preserved by the governing equation (2.10).

Univariate analysis of different socio-demographic factors, attitudinal determinants towards H7N9 and anxiety level that were associated with active personal hygiene attitude (defined as perceiving 6 or more out of 9 measures above useful) was included in the multivariable analysis.

The use of "time-shifted" signals with arithmetic operators, discussed above, is useful when arranging multiple signals in time or applying amplitude modulation to different signals.

The map T discussed above is useful for the following proposition.

In summary, all the schemes above are useful for different scenarios.

The above are useful mobile Apps, but their goals and utility does not extend beyond the App itself.

The simple model discussed above is useful in highlighting how the incentives for return migration change when retirement occurs and higher relative wages are no longer a factor in immigrants' decisions about whether to stay or to return home.

In this section, we show that the inequalities established above are useful in the research of boundedness, uniqueness, continuous dependence on the initial value and parameter for the solutions to fractional differential equations.

The tests discussed above are useful to diagnose patients with symptomatic AATD as well as to identify patients who carry AAT gene mutations but who are currently asymptomatic.