Sentence examples for using this relation from inspiring English sources

Using this relation, we divide ({mathcal F}{mathcal S}({s_0,s_1})) into the disjoint equivalence classes.

end{cases} Using this relation, the solution to equations (13) and (14) can easily be computed.

By using this relation in inequality (26), we get the required result.

Using this relation, SNR no longer varied with the patient's body mass.

Figure 5 shows a size distribution of clusters realized in the analyzed volume using this relation.

Using this relation, similar domes can be designed to have desired stability characteristics.

By using this relations, the phase is α t ( k ) = ± π / 2 + β r ( k ).

Levi and Scimiterna in [4] show that the complex Burgers and the Kundu-Eckhaus equations are related by a Miura transformation, and they use this relation to discretize the Kundu-Eckhaus equation.

Apollonius used this relation to deduce fundamental properties of conics.

One used this relation to derive an equation, and then, using a geometric procedure involving acceptable instruments of construction, one obtained points on the curve given by the roots of the equation.

We use this relation to link the inhomogeneous to the homogeneous spike count via (32).