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In the resource economics literature, earlier studies explain the effects of resource exploration and technological change on resource extraction to bridge the gap between the real resource price path and the theoretical resource price path derived by the Hotelling rule (Hotelling [1931]).

We validated the model using 18 348 manually curated cellular paths derived from the SPIKE database.

Migration paths were derived by constructing a set of several intermediate structures between two energy minima by linear interpolation.

The absence of Taltson-age plutonic rocks, except for low-volume crustal melts, suggests that this cycle was driven by crustal thickening, consistent with a clockwise P T t path derived for one sample.

The high Boltzmann entropy loss of the process has to be matched by a high influx of free energy in the protein traffic path, derived in sufficient stimulation of anabolic and trophic pathways.

Theorem 3 indicates that if T may be solved from (3), the minimum cost path may be derived by following the gradient of T. To solve (3), we adopt the FM method proposed by Sethian [8].

The number of paths, path location (in the delay domain), and path attenuation can be derived by the supporting software.

The biological significance of the path that we have derived by our algorithm is described here.

First, the command filter design technique based cooperative path following control strategy is derived by introducing compensating error signals to remove the requirement of the higher derivative of reference signal, and a simplified cooperative path following controller is proposed.

Here, we present the theory of the seismoelectric effect, which we derived by following the path suggested 65 years ago by Frenkel.

Approximate expressions for the fourth order moment of a wave propagating in a random medium are derived by using the path integral formulation.

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