Sentence examples for with the aid of this function from inspiring English sources

With the aid of this function, we split a function u into two parts.

It is with the aid of this function that subcrt checks whether a user-input chemical reaction is balanced with respect to mass and charge and automatically corrects the reaction if the necessary basis species have been defined.

With the aid of this scheme, an error-free representation of the cos, sin, and cas functions becomes possible.

With the aid of Nussbaum function, the unknown control gain sign is effectively handled in the controller design.

With the aid of frequency function methods, we can establish these quantitative estimates (see [2, 6]).

The authors then worked out the modified models with the aid of a crossover function and have obtained better results.

The inner radiative exchange within the cavity is solved with the aid of User Defined Function (UDF).

Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential having between every two adjoining knots the form of a polynomial.

The a parameter of the parent-recruit relation equals 0.25 and was left constant, whilst b was determined with the aid of the solver function (1.04).

In the case of kernel-based algorithms, several clustering techniques such as K-means, C-means and SOM have been widely used with the aid of kernel functions.

The alignment was then re-created manually with the aid of BioEdit's translation toggle function, using the protein sequences as a guide.