Sentence examples for a derivation is presented from inspiring English sources

A derivation is presented in the [27].

A derivation is presented here showing that the same simplifications can be achieved under less-restrictive conditions.

In one dimension, this relationship is known to be exponential (a derivation is presented in Section 2) making it natural to linearize the problem using logarithmic transformation [ 26].

Starting with an interatomic potential description, a mathematical derivation is presented to show that the local environment dependence of the activation barrier can be captured using cluster interaction models.

In this theory, a separate derivation is presented for the shear correction factor.

Only the final form of the equations used in the model are presented; a detailed derivation is presented by Hungr & McDougall (2009).

Consequently, a general derivation is presented that is applicable to both continuously and discontinuously reinforced composites with arbitrary vector constitutive laws and periodic microstructures.

A generalized derivation is presented which not only determines necessary and sufficient conditions for the application of this approximate description, but also gives estimates for its errors.

It is shown that the standard derivation of the method is incomplete, in the sense that the steady state heat conduction equation admits a class of solution which is not encompassed by the assumed form of response, and a revised derivation is presented.

Note that the detailed derivation is presented in Appendix A: Proof of the uncorrelation of ρ k (i−1) and |e k (i |2 in the steady state.

Substituting Equations 25 and 10 into Equation 19, the energy availability of node n can be measured as (the detailed derivation is presented in Appendix 2): Pr A n | A 0 A 1 ⋯ A n - 1 = ∑ k = 0 M n Λ n t k k ! exp - Λ n t × 1 M n, k ′ !