Sentence examples for analytical function is from inspiring English sources

The directional changes were defined as points where the first derivative of the analytical function is equal to zero, corresponding to the points where vessel path changes its slope.

The properties affecting the performance of the ANNs and their levels on the peak analytical function were determined by performing computational experiments.

From these measurements an analytical function was derived which describes the average error of the spatially averaged intensity as a function of the difference between the external sound level and the source sound level.

For practical measurement situations a further analytical function was derived which gives this intensity error as a function of the difference between the measured (spatially averaged) pressure and intensity levels.

A classical approach to derive approximations for analytical functions is the use of bounds.

Specific analytical functions are assessed through compound material mechanics theory.

Two benchmark analytical functions are used to validate the proposed algorithm.

Systems with non-linear forces described by analytical functions are considered.

Analytical functions were fitted to the measured data and the results were checked using coupled wave theory.

The results obtained using the analytical functions are found to be in a very good agreement with their numerical and experimental counterparts.

Once the conditioned frequency response functions have been estimated, the non-linearities, which are described by analytical functions, are also identified by estimating the coefficients of these functions.