Sentence examples for elementary solution from inspiring English sources

One then takes a Fourier integral of the elementary solution over the wavenumber ν.

The resulting uncoupled systems of ordinary differential equations are solved using an elementary solution technique.

For the sake of completeness, besides the solution above, we will provide another elementary solution in regard to the inequalities (3.7).

After deriving the elementary solution for an edge dislocation near the interface, the strong interaction problem of multiple subinterface microcracks is reduced to a system of singular integral equations by using the superimposition method.

Thus, for z < 0 km, the geoelectric field elementary solution including the incident (e−νz ) and reflected (Re νz ) parts with an arbitrary constant C is given by E_{y} left( {x,z nu,omega } right) = Cleft[ {{text{e}}^{ - nu z} - Rleft( {nu,omega } right){text{e}}^{nu z} } right]cos nu x. (5).

Going forward, Crawford suggested an even more elementary solution: back up property records on computers or put them on a cloud, instead of on paper.

All the comparisons above are preceded by elementary solutions for pointed notches in general.

These elementary solutions, in turn, build up the solution for an arbitrary homogeneous random excitation.

It is shown that translations of elementary solutions of the biharmonic equation can be achieved by considering the translation of a pair of elementary solutions of the Laplace equations.

Within each cell, the velocity potential is represented by the linear superposition of a complete set of harmonic polynomials, which are the elementary solutions of Laplace equation.

The first phase solves a series of single-target rendezvous problems for all departure-arrival object pairs to generate the elementary solutions, which provides candidate rendezvous trajectories.