Sentence examples for explicit derivation from inspiring English sources

(See Ewens 1969 or Edwards 2000 for an explicit derivation of these equations).

Explicit derivation and evaluation of the sensitive matrix are not required in the method.

The approach is based on circumventing the explicit derivation of macroscopic equations for the system statistics (e.g., average coverage).

This allows a systematic design and the explicit derivation of directly verifiable existence conditions for the disturbance observer.

Aristotle does little to frame his theory of categories, offering no explicit derivation of it, nor even specifying overtly what his theory of categories categorizes.

The novelty of the present paper is its explicit derivation of quality adjustment indices which adjust human capital for cross-country differences in schooling quality.

Furthermore, explicit derivations of non-local parameters from heterogeneous Cauchy elastic composites are obtained in the particular cases of: (a) circular cylindrical and spherical isotropic inclusions embedded in an isotropic matrix, (b) n-polygonal cylindrical voids in an isotropic matrix, and (c) circular cylindrical voids in an orthotropic matrix.

To this end, one might use various analytical tools like, e.g., a geometric measure representation as a starting point of explicit analytical derivations.

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

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