Sentence examples for equation is stated from inspiring English sources

The standard equation is stated thus: Φ E  = Φ T  − V clay × Φclay, where Φ E  = clay corrected effective porosity, Φ T  = total formation porosity, V clay = clay volume and Φclay = total porosity 96 in clay.

In Section 2, the main results about the L 1 -stability of weak solutions to the Navier-Stokes equations and temperature equation are stated.

In Section 6, an application of the new fixed point theorem to prove the stability of functional equations is stated.

Thus, the fully discrete CNFVE formulation with the second-order accuracy for the 2D Sobolev equations is stated as follows.

The SEA equations are stated and results from references [1 4] reviewed.

In Section 2, the main results about the existence, regularity and dynamical behaviors of global piecewise regular solution for compressible Navier-Stokes equations are stated.

In Section 2, the main results as regards the global existence of strong solution for the spherically symmetric isentropic compressible Navier-Stokes equations are stated.

On the other hand, the error in the proposed analytical method depends on rounding as long as the equations are stated correctly.

The elastic response is stated in terms of hypoelastic model and endochronic constitutive equations are stated in unrotated frame of reference.

Alternatively, the fundamental equations are stated as the Euler Lagrange equations of a unified variational principle, which operates on all the field variables.

The main results on the existence and uniqueness of various kinds of solutions to the nonlocal balance equations are stated in this section and will be proved later after developments of other background results.