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On this basis, the solidification path is described.
The spatial reference path is described by an algebraic implicit expression and the path-following kinematic-error dynamics are then formulated for each agent using suitably defined spatial and speed tracking error variable.
How to choose that path is described in the following.
Every path is described by the path parameters: complex amplitude (, total delay (, and the azimuth and elevation of arrival and departure, respectively, (.
Note that the use of time scales makes the solution to the problem more compact, the optimal consumption path is described by the same expression.
Every path is described by the path parameters: complex amplitude (, total delay (, and the azimuth and elevation of arrival and departure, respectively, (. . In every cluster, the corresponding number of paths (which is an initial cluster parameter drawn before),, is placed as follows.
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In the 'Methods' section, the scan line path, Archimedean spiral path, and Hilbert fractal path are described and analyzed in details, while the modeling method of polishing path from plane surface to freeform surface is also given.
The overall QM/MM MEP is shown in Figure 2, and the geometries and energetics of each step of the path are described in detail below.
Methods that allow for scanning along a user defined path were described in the past for a two-dimensional plane (Lillis et al., 2008) and for three-dimensional volume (Gobel et al., 2007).
The ocuppation probabilities for an Al3+ ion along this path are described using a normalized Boltzmann factor given by where k is Boltzmann's constant, and where x i +1 indicates the states next to x i, x i –1 indicates the states before x i with an interval of 0.01 Å, and T is 298.15 K.
The reaction-path is described in terms of the electrocatalytic generation of dialkyl phosphonate anions and an efficient PO rearrangement in the intermediate adduct anions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com