Sentence examples for mathematical derivation from inspiring English sources

In this section, based on the above analysis and theorem, we extend parts of the derived conclusion to arbitrary N-transmitter case through mathematical derivation.

The detailed mathematical derivation of the more complex decompositions in Section 18.2 are beyond the scope of this book.

The analytical formulation of the ECR is based on a mathematical derivation with high accuracy.

A cascaded Fresnel digital hologram (CFDH) is proposed, together with its mathematical derivation.

Mathematical derivation of the method is followed by its numerical implementation.

Then, the mathematical derivation is different from that one used for the unmixed feed case.

Based on the mathematical derivation, alternative methods for kinetic measuring are described.

We explain the Gabor filter-based edge detector by a more precise but much simpler mathematical derivation in frequency domain.

We present a mathematical derivation of a closure relating the Reynolds stress to the mean strain rate for incompressible flows.

This work focused on providing the mathematical derivation of the models and also brief review of their practical applications.

More informative mathematical derivation procedures of energy dissipations, plastic potential, yield function and non-associated flow rules are presented.