Sentence examples for this transformation leads from inspiring English sources

This transformation leads to the generalization of the Riccati-type equation associated with equation (3).

This transformation leads to the transformation of the current surface element, da i, and volume element, dv, onto the initial surface element, dA i, and volume element, dV, such that: mathrm{d} a_{i} = (boldsymbol{F}^{-1})_{ki} J mathrm{d} A_{k}, quad mathrm{d} v = J mathrm{d} V, quad J = det(boldsymbol{F}) (5).

This transformation led to the financial crisis because banks became too big to manage and too big to fail.

Attempts to utilize ozonolysis for this transformation led to decomposition of the starting material.

This is important when the transformation leads to symmetries that allow the use of more efficient numerical techniques, like employing a Fourier expansion to discretize a homogeneous direction.

In tension, the transformation leads to localized deformation of several percent that tends to spread at nearly constant stress.

Thus, this phase transformation leads to the change of volume, inducing the surface recovery.

Attempts to utilize ozonolysis for the transformation led to decomposition of the starting material.

This great transformation led to a rise in productivity in the agricultural sector that remade society.

This transformation inevitably leads to a modification in the microstructure, which is highlighted by various parameters such as variations in specific surface area and pore size distribution.

This transformation, however, leads to a symplectic eigenvalue problem as in [9, Section 6], and not to a Sturm-Liouville eigenvalue problem as in Sections 1 and 2 in this article.