Sentence examples for transforms the equation from inspiring English sources

This method transforms the equation and the given conditions into the matrix equations.

Galerkin׳s method used with three different boundary conditions transforms the equation into time dependent modal functions.

The TransFromSemaevToBinaryWithSym function transforms the equation (s_{m+1}mid _{x_{m+1} = x(R)}=0phantom {dot {i}!}) into system f 1,f 2,…,f m as described above.

The re-indexation transforms the equation (8) into a normal linear system (34) ∑ k ′ ∈ I (k ) π k ′ − π k W k → k ′ = 0 where I(k) designates the 1 d indexes of the four nearest neighbors of the point (m,n), where k = k m, n.

Beginning with the equations of relative motion of two spacecraft, an unperturbed chief and a continuously-thrusting deputy, a thrust profile is constructed which transforms the equations into a form that is solved analytically.

An unambiguous offer by the Arab world of security and recognition for Israel would fundamentally transform the equation that has brought more than half a century of bloodshed and tension to the Mideast.

end{aligned} (2.28)Note that we transformed the equation (Lu=0) to the equation (L_1u_1=0) in two steps.

(4.1) By using the Mellin transform, the equation becomes bigl(s^{2}-(a_{1}-1)s+a_{2}bigr) odotwidetilde{U}(s)=tilde{f}(s).

2, the main result, remarks, and comments are given, and we transform the equation to an infinite-dimensional Hamiltonian system.

where the same scaling as in Equation (22) was applied in transforming the equation into its dimensionless form, hence the reason for the coefficient 1/β in the equation.

Transforming the equation variables into velocity modal co-ordinates yields the equation for the submerged structure of which the unknown variable is the set of radiation modal amplitudes.