Sentence examples for system of basis from inspiring English sources

For an orthogonal system of basis polynomials a normalization can be done straightforward, e.g., [33].

On the one hand, the functions (varPsi _{i} : varPi rightarrowmathbb{R}) represent a complete orthonormal1 system of basis polynomials.

The system of basis functions is chosen in such a way that the solution is approximated only on the essential support instead of the whole state space.

Indeed, if the system of basis functions (7) is chosen to correspond to the current location of the essential support, the total number of discretisation coefficients α i (t) will be small.

To account for the fact that at a specific time point only a small part of the system states has to be considered, the system of basis functions is adapted on every time step.

Although for a fixed system of basis functions the matrix exponentiation (10) provides the exact solution avoiding time discretisation at all, the condition (14) motivates to consider the CME on sequential time steps, not as means of time approximation, but as a way of economy of computational resources.

In this paper, we propose the control system on basis of the robust control theory, which can improve stability of power system in wide area.

Experiments with extraction of vanadium and chromium performed in dynamic conditions have shown that maintenance of the necessary pH in a solution requires use of buffer systems (on basis of formate).

The main idea of the algorithm is to apply a system of Galerkin׳s basis functions which are orthogonal, after a certain change of variables, in a unit cube.

For determining the coefficients of the general solution, a special system of piecewise smooth basis functions is introduced.

On the other hand, the adaptive immune system of jawed vertebrates the basis of acquired immunity is highly specialized and can protect against almost any type of invader.