Sentence examples for by using the functions from inspiring English sources

This can, for example, be achieved in MATLAB by using the functions quad and fsolve.

The optimization is performed on an unbiased estimation risk obtained by using the functions of this subclass.

The MW and MF of all compounds are given by using the functions provided by Marvin Bean [24], a JAVA package supplied by ChemAxon [25].

This complication can be overcome by using the functions Ξ m : = η − ξ − ∫ 0 T 2 f ( τ, x m d τ (9.1).

Contrarily, the IGA is geometrically exact no matter how coarse the discretization is by using the functions from the geometry description as basis functions for the analysis.

The behaviour of equation 7 is shown in figure 5. We can calculate the data for the theoretical power plot by using the functions X (w), Y (w) and equation.

The home package of a symbol can be accessed by using the function symbol-package.

The complicated constitutive relations can be easily formulated and verified by using the function for handling symbolic calculations.

To be more precise, the integration is performed by using the function values which are given as discrete sampling data on only part of the boundary.

where by using the function class an operator and a Riccati transformation of the form (1.14).

by using the function class and a generalized Riccati transformation of the form (1.23).