Sentence examples for analytical formulae from inspiring English sources

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

Numerical results are also presented to validate the analytical formulae.

Two analytical formulae were considered for the VAT data.

For the zeroth-order reaction full analytical formulae were derived.

The accuracy of the analytical formulae is verified by various numerical results and simulations.

The calculations of the analytical formulae can be well consistent with those of finite element method.

The results obtained by numerical raytracing well match those calculated from the analytical formulae.

In addition, the energy storage capacity of each sample is estimated using analytical formulae.

Finally, the analytical formulae are employed for the minimum mass design of sandwich structures.

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

Analytical formulae are given for the electrostatic potential and the electron density profiles.