Sentence examples for previous derivation from inspiring English sources

The proof is obtained by working the previous derivation backwards.

Both the treatment and derivation of the included CH_2 (hydrocarbon, 1g/cm^2 density), and the weighting of ground calibration measurements at the XRCF, have changed from the previous derivation.

This paper extends a previous derivation of a design method, which predicted the membrane load-carrying capacity of composite floor slabs in fire, but was limited to isotropic reinforcement.

Consistent with the US EPA's previous derivation of the perchlorate RfD, which is also based on decreased iodine uptake in humans, we considered several uncertainly factors (UFs), and determined that a factor of 10 for human variability was appropriate, as well as a factor of three for database adequacy.

Based on our previous derivation and analysis, we draw the following important conclusions.

The previous derivation forces the last inequality involved to become an equality.

The theoretical predictions invalidate previous derivations found in the literature.

This new derivation is more systematic and simpler than previous derivations.

In this work, the final result reveals a wrench transformation matrix which was not present in previous derivations, or was not explicitly expressed.

The diffusion potentials are obtained straightforwardly as functional derivatives of the free energy with respect to composition and are in keeping with previous derivations that involved many mathematical manipulations or quite advanced theories.

In contrast, by invoking the proposed "maximum entropy sampling" method, the estimation for the pathloss exponents and attenuation factors are ; and, respectively, which agree well with the previous derivations.