Sentence examples for analytical formulas are from inspiring English sources

The analytical formulas are obtained.

In order to quickly study the impact of each of these parameters, analytical formulas are needed.

(2) Some analytical formulas are introduced to consider the restraining forces due to the drawbeads.

Generalized analytical formulas are established which relate the exact solutions to corresponding time-independent auxiliary solutions.

Analytical formulas are derived to compute the model parameters for a canal pool possibly in backwater conditions.

Synthesis method is used for the design of the three controllers, and analytical formulas are given for these controllers.

A comparison of the curves obtained by simulations and by the analytical formulas is shown in Figs. 12 and 13.

The comparison among the results of the hybrid method and the predictions of the analytical formulas is reported in Table 3, considering a unit injected current.

Moreover, the 3D maps of the potential on the ground are reported in Fig. 4. Excellent agrement between the numerical results and the predictions through analytical formulas is shown in each of the examined case.

Since we analytically obtain the location and temperature of sublimation, these analytical formulae are useful to find such sublimation evidences.

Possible implications for the stability of collapse and for the analytical formulae are indicated.