Sentence examples for trajectory is derived from inspiring English sources

The desired human gait trajectory is derived from the Clinical Gait Analysis (CGA).

d τ, which is the distance from p τ to (Tr^{tau }_{(un avoid}) (avoid or unavoid trajectory) is derived as: d_{(un avoid}^{tau} = left| {Tr_{(un avoid}^{tau} - {p^{tau} }} right| (9).

Exploiting the coupled circular restricted three-body problem approximation, suitable first guess trajectories are derived detecting intersections between stable manifolds related to halo orbits of EM spatial CRTBP and Earth-escaping trajectories integrated in planar Sun Earth CRTBP.

In the pre and post tests, three target trajectories were derived from a base ellipse.

(D ) Age-related trajectories were derived from the hierarchical tree as described in Figure 3C legend.

Cell trajectories were derived by image segmentation and tracking using CellCognition (Held et al., 2010) and visualized as series of single cell images with overlaid segmentation contours and class annotations (Supplementary Fig. S4).

Age-related trajectories were derived from trimming the distance matrix into 12 k-means clusters using rect.hclust function in R. Plots in each box represent averages of the scaled values of contributing metabolites whose number is listed in at the top of each graph.

The first order differential increment of the signed point-to-surface distance with respect to the differential deformation of the tool axis trajectory surface is derived.

The trajectory variation δyh is derived by eq. (1) and is expressed by variation of constants: Φ t) denotes the fundamental system of the homogeneous linear problem ϕ ˙ = ∇ y fϕ with the matrix ∇ y f of first derivatives of f with respect to y and ∇ x fh constitutes the inhomo- geneity.

The payload reference trajectory is obtained through a constrained optimization, then the reference trajectory for each UAV is derived on the basis of the known shape of the formation, while taking into account operational constraints such as collision avoidance and cruise speed.

It is shown that the dust grain executes oscillatory trajectories, and an expression is derived for the period of oscillation.