Sentence examples for form of the solution from inspiring English sources

In 1863 Kelvin had derived the basic form of the solution of the static elasticity equations for a spherical solid, and these were applied in following years to such problems as calculating the deformation of the Earth due to rotation and tidal forcing and measuring the effects of elastic deformability on the motions of the Earth's rotation axis.

The explicit form of the solution for calculation of convergence is elicited from the trained ANN.

Thus, (1.6) represents the correct form of the solution for the problem (1.1) and (1.3).

The mathematical form of the solution is justified by Fourier transform.

The form of the solution resembles that of the corresponding static solution.

A relevant existence and uniqueness result for the solution of stochastic differential equations driven by Lévy noise is presented and an explicit form of the solution is found.

We will derive the necessary and sufficient conditions and a representation (in an explicit analytical form) of the solutions of the boundary value problem (3.11), (3.12).

Fortunately, earlier we have derived the exact form of the solutions x ( n ) of (2.1) with λ = 0 via the relation (3.6).

The following theorems are devoted to the expressions of the form of the solutions of systems (3), (4), (5) with x − 2 = c, x − 1 = b, x 0 = a, y − 2 = f, y − 1 = e and y 0 = d.

The choice of the L2 metric yields optimal linear interpolation coefficients in the form of the solutions of a linear algebraic system inversion.

Later we realized that complete pictures of the form of the solutions of this type of systems could be given by studying all the quantities appearing there in detail.