Sentence examples for calculating derivatives from inspiring English sources

Significant savings in computational time are reported when calculating derivatives using built-in analytical derivatives instead of using finite difference derivatives.

The algorithm presented is suitable for calculating derivatives of any degree with any arbitrary order of accuracy over all the known function sampling points.

Another incentive to use this kind of optimization method is that, there is no easy way of calculating derivatives of the objective functions, which then discards gradient optimization methods.

The differential quantity dU can always be expanded in terms of its partial derivatives according to           (29) where the subscripts denote the quantity being held constant when calculating derivatives.

The efficient twin-tridiagonal (for calculating derivatives) and triple-tridiagonal (for solving partial difference equation with the CCD scheme) methods are also presented.

Although there exist several powerful power flow solvers based on the conventional Newton Raphson method, their problem formulation gives complication due to the need to calculate derivatives in the Jacobian matrix.

In contrast, Vina calculates derivatives to generate a gradient, performing its optimization accordingly.

The function that calculates derivatives as described above could be called by any ODE solver, which solves the ODE system thus constructed.

Such problems typically lack algebraic expressions, it is not possible to calculate derivative information, and the problem may exhibit uncertainty or noise.

Figures 13 and 14 illustrate the noisy pressure derivative, calculated by adding 2 and 6% noise to the original non-noisy (clean) pressure signal, respectively, and the smoothed pressure derivatives, calculated by applying the LOESS method to the noisy pressure data before calculating the derivatives.

Previous research describes two methods for calculating these derivatives.