Sentence examples for first derived for from inspiring English sources

The results are first derived for homogeneous agent systems and then extended to heterogeneous systems.

The equilibrated S-to-P energy ratio is reproduced and the equilibration time is first derived for two-dimensional cases.

In the algorithm, an iterative design procedure is first derived for obtaining a local optimal solution to the problem.

The effective stress strain relation is first derived for a particular stratified composite with straight internal interfaces.

The model formulation is first derived for three-phase flow of water, NAPL and air (or vapor) in porous media.

The capacity was first derived for an AWGN channel and then extended to a fading channel by averaging the SNR over the channel random variables.

The U-transformation was first derived from the mode method for rotational periodic structures.

When the tree is redrawn, using the Porifera as the root for the Cnidaria, the Hexacorallia form the first derived branch for this group, while the Medusozoans and Octocorallia form a second branch (fig. 6 C).

In this article, we first derived SINR for a one-bit time reversal UWB system based on UWB channel parameters.

In this paper, an adaptive sliding control (ASC) scheme is first derived and employed for vibration attenuation.

Zee et al first derived stopping rules for a two-stage clinical trial with a multinomial endpoint of RR and EPD [ 14].