Sentence examples for obtaining series from inspiring English sources

A method for obtaining series solutions of nonlinear second-order ordinary differential equations based on the introduction of an artificial parameter is presented and shown to be identical to the well-known Adomian's decomposition technique.

The obtained series solutions are universal with respect to body contours.

The obtained series of compounds exhibits low affinity and activity both at opioid receptors and as cyclooxygenase (COX) inhibitors.

Analytical approximate solutions of problem are obtained by using homotopy analysis method and convergence of the obtained series solution is properly checked.

Impedance spectroscopy and capacitance-voltage studies were carried out to obtain series and shunt resistances, built-in potential, acceptor carrier density, depletion width and flat band potential.

Two of these studies obtained series solutions using specialized mathematical methods, known as the Adomian decomposition method and the homotopy analysis method.

Table 4 establishes the convergence of the obtained series solution.

Combination of the preparation conditions allowed to obtain series of the carbon with textural characteristics varied in the wide range.

In order to ensure the convergence of the obtained series solutions, it is necessary to choose the appropriate range for the auxiliary parameter ħ.

Adding these series we obtain a series representation begin{aligned} varphi = sum _{[w]} varphi _{[w]} = sum _gamma B_gamma, mathrm {e}^gamma, end{aligned}which is convergent on (R,).

Venous return curves were constructed by obtaining a series of points with various CI and CVP values.