Sentence examples for gives the solution of from inspiring English sources

With the aid of the Cauchy integral formulae, the task of constructing a complex function which gives the solution of the boundary value problem under consideration is reduced to solving a system of linear algebraic equations.

where ω=ω(2m)= exp(i π/m): the summation gives the solution of the homogeneous equation and the remaining terms give a particular solution.

These linear equations can be solved for unknown coefficients of the vector C. Consequently, u ( x ) given in Eq. (27) can be calculated, which gives the solution of the initial value problem in Eqs.

As we know, the inverse operator theory [9] gives the solution of P −1 J=I+P −1 N for the general imaging model (1), where P −1 is the inverse or pseudo-inverse of the PSF matrix.

Solving the simultaneous equations gives the solutions of the two sought-after estimators.

However, the average over an infinite number of trajectories will always give the solution of the Lindblad master equation.

He had become well known through his sixth publication, a four-page note of 1692, giving the solution of de Beaune's problem of the inverse tangent, which had been outstanding for fifty years.

Once the autocorrelation function is given, the solution of the characteristic equation (3).

In this section, we give the solution of (1 - 3) in the reproducing kernel space ({ W}_{2}^{(3,3)}(Omega)).

Recently, Qiao and Deng (cf. [1]) gave the solution of the Dirichlet problem in a cone.

Equations 3.7 to 3.11 along with the boundary conditions (3.14) give the solution of our problem.