Sentence examples for useful relations from inspiring English sources

One derived useful relations and used simulated examples to illustrate how this method can be applied.

In this appendix, some useful relations are given.

The central task is to provide useful relations between molecular parameters and thermodynamic properties.

Finally, useful relations between system performance and environmental conditions have been found.

Some simple and useful relations are proposed for estimating the seismic microzonation of the areas underlain by tunnels.

A few useful relations are derived for the cavitation pressure which reveal the coupled effect of plastic pressure sensitivity and material inertia.

The following lemma gives a useful relation between the directional STFT and the Fourier transform of the function f.

Also a useful relation between fluorine photoelectron energy vs. polymer composition expressed through the atomic ratio fluorine/carbon (F/C) was found.

In Section 2.2 we observed a useful relation between and for the APQ: A feature pair with a higher would approximately also obtain a higher detection rate for APQ.

The useful relation between the Riemann Liouville operator and Caputo operator is given by the following expression: bigl( I^{alpha} D_^{alpha} f bigr) ( x ) = f ( x ) - sum_{k = 0}^{n - 1} f^{ ( k )} bigl( 0^ bigr)frac{x^{k}}{k!},quad x > 0, n - 1 < alpha le n, (5) where n is an integer, (x > 0), and (f in C_{1}^{n}).

We note that only the first equality seems to be available in the literature, and the interesting and useful relation to the Gini coefficient has not yet been observed.