Sentence examples for of the corresponding linear from inspiring English sources

Its absolute value equals the area (in R2) or volume (in R3) of the image of the unit square (or cube), while its sign corresponds to the orientation of the corresponding linear map: the determinant is positive if and only if the orientation is preserved.

Formula represent equations of the corresponding linear regressions.

Techniques are then developed for the computation of the corresponding linear functions.

where is the first eigenvalue of the corresponding linear problem (3.2).

where is the first eigenvalue of the corresponding linear problem of (3.19).

Also, we obtain the existence of two principal eigenvalues of the corresponding linear eigenvalue problems.

The likely reason is that the spectrum theory of the corresponding linear problem.

The critical buckling temperatures are obtained from the solution of the corresponding linear eigenvalue problems.

In these works, the positivity of Green's function of the corresponding linear second-order periodic problems plays an important role.

These difficulties are mainly related to bad conditionality of the Hamiltonian matrix of the corresponding linear algebraic equations.

In this paper the eigenvalue problem of the corresponding linear stability analysis has been solved with this method.