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First, Taylor's polynomial is used to transform the form of trajectory tracking error system of underwater robot to the form of affine nonlinear systems, whose input is the control voltage of thruster.
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Solutions to the evaporation model take the form of trajectories in temperature composition space, which are then projected onto a ternary diagram to form the map.
Nevertheless, she hoped to create some form of inbound trajectory into the CFL academic community: I would like to be, through my investment in CFL teacher training and my research, a peripheral contributor to the CFL community.
Thus, in spite of the presumable independence between the geometrical form of the trajectory and the velocity of movement along the path, evidence has accumulated pointing to the inherent dependence between these two variables during human and monkey movements.
Once insects are recognized and their motion tracked and recorded in the form of individual trajectories, the next task is to analyze those trajectories to discover and characterize consistent behavioral patterns the insects exhibit.
Raw data from the costume builds the performance as a virtual interactive space, open to analysis by player and coach: "once a sporting event is stored in a database in the form of motion trajectories, scores and other domain specific information, a viewer can explore and interact with the virtual version of the real event" (Pingali et al. 2001, p. 77).
The second step is to define the degree of the polynomial form of the trajectories.
To provide a comprehensive coverage of state-of-the-art feature detectors, we employ two different methods that have been widely used in literature: space-time interest point (STIP) [5] and space-time trajectories, in the form of improved dense trajectories (iDT) [8].
Incorporating frame analysis, context analysis and ecosocial analysis, in the form of in-context trajectory evaluation, into the assessment of GMOs can improve the social compatibility, political accountability and ecological sustainability of its outcomes.
We proposed in [26] the use of Gaussian mixture regression to learn the task constraints not only in the form of a desired trajectory, but as a probabilistic flow tube encapsulating variability and correlating information changing during the task.
However, when particle wall interactions are significant, an extended form of the particle trajectory equation is required which includes terms for Stokes drag, near-wall drag modifications, or lubrication forces, pressure gradients, and near-wall particle lift.
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