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Three radial attractors that influence moving agents are proposed as shown in Fig. 5. Fig. 5 Synthetic data layout.
In order to validate the proposed method, a simulated scenario in which moving agents are motivated by different attractive zones is considered.
The recognition of motion patterns and interactions from trajectories is a challenging task, in particular when dynamics of moving agents are nonlinear through time and space.
By considering a number of n spatial dimensions from which trajectories of moving agents are observed, the location of a single agent can be expressed as shown in Eq. (2): mathcal{X} = (d_{1}, d_{2},ldots,d_{n}).
However, for the particular problem addressed in this work, where moving agents are influenced by a main goal, information about the direction and magnitude of their velocities should be taken into consideration to make a correct segmentation in terms of attractive forces.
When moving agents are located at a distance r>r switch from an attractive area, it is proposed to use a probability density function (PDF) to describe the agents' velocities until they start reducing their speeds due to a near range of interactions effect previously explained in Section 3.1.
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The problem of emergence of collective behavior in a system of two dimensional interacting moving agents is considered.
The need for moving agents is even more significant if the applications and other factors of the overall experience should follow the user to new contexts.
Otherwise, the moving agent is assumed to follow the far range of interaction model described in Eq. (5), in such case, its measurements and control vectors will be labeled as ([Z_{k text {far})}^{s},U_{k text {far})}^{s}]).
As a moving agent is approaching an attractive center of force, the number N of measurements identified in a near range of interaction will increase as more vectors ([Z_{k text {near})}^{s},U_{k text {near})}^{s}]) are available.
Accordingly, for distinguishing between far and near ranges of interaction, magnitudes of (U_{k}^{s}) are analyzed through consecutive time instants, such that: If (||U_{k}^{s}||_{2}) values decrease continuously in a range of time Δ K switch, the moving agent is assumed to be in a near range of interaction, proposed in Eq. (4).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com