Sentence examples for a derivation of explicit from inspiring English sources

This section is devoted to a derivation of explicit solutions of some Erdélyi-Kober-type integral equations.

Motivated by some of these potentially useful developments, many authors have recently demonstrated the usefulness of fractional calculus in the derivation of explicit particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders.

The two new things in our study is the use of only basic rules and the derivation of explicit bounds.

This paper reports on the derivation of explicit integral kernels for the elastic fields due to eigenstrains in an elastic half-space.

Our work involves the use of enzymes as surface receptors and the derivation of explicit response expressions for this type of receiver molecular antenna.

Our approach involves the derivation of explicit formulas that can be usedto partition reduced phase spaces into regions leading to different firing sequences.These ideas require a decomposition of dynamics into two distinct time scales.

In the derivation of explicit algebraic active scalar flux model, WWJ (Wikström, Wallin and Johansson, 2000) model only for explicit tensor representation of passive scalar flux is improved by affiliating external buoyancy effects terms.

The proposed control method leads to the derivation of explicit analytical formulas for bounded robust optimal state feedback control laws that enforce stability and robust asymptotic reference-input tracking in the presence of active input constraints.

The objective of this paper is to formularize the GDQR expressions and corresponding explicit weighting coefficients, while the derivation of explicit weighting coefficients is one of the most important aspects in the differential quadrature methods.

This expansion allows for the derivation of explicit analytical expressions for the attenuation and dispersion of shear waves, with the directions of propagation and of particle motion being in the bedding plane.

D-optimal population designs based on single-point individual designs were readily found but the derivation of explicit expressions for designs based on two-point individual designs was not straightforward and was complicated by the fact that the designs now depend on ratio of the variance components.