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A trajectory is built by fitting so-called "partial paths" upon the cross-sectional data: path construction involves selecting one healthy individual and one patient, labelling them as start and end and then re-ordering the remaining cross-sectional instances based on the shortest path from start to end.
In these cases, the trajectory is built from the combination of the sub-trajectories tracked from different starting images along the stack (phase H, I, K).
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Then temporal trajectories are built based on the estimated position and velocity.
Danish patients, more than 1100 trajectories were built to demonstrate that retinal disorders were systems markers of diabetes vasculopathy and especially renal failure worsened for the presence of vitreous body disorders.
Particle center of mass was measured through a centroid approach by using a specific Labview virtual instrument while the x and y projections of the particle trajectories were built through a nearest neighbor approach to link measurements in successive frames.
(2) The influencing factors and control methods of an abrasive ball relative to the spiral groove movement trajectory are proposed, a consistent mathematical model of abrasive balls relative to the movement trajectory and designed spiral curve is built, and a theoretical basis for the active profiling and polishing of a revolving body with a spiral groove is supplied.
The approximate polynomial trajectory model for the flying ball is built to optimize the best parameters from the asynchronous observations in each discrete temporal interval.
For example, the trajectory may be built by several "parts" corresponding to different behaviours of the animal, and the aim of the analysis could be to identify the different parts, and thereby the different activities, based on the properties of the trajectory.
The trajectory of each partition complex was built using a custom-written MATLAB script that minimizes the total displacements of the two spots between the current frame and the previous frame (Supplementary file 3).
Then, optimal trajectories for each mobile sink are built via greedily adding h-feasible configuration if the benefit to the network lifetime is maximized.
Two repeated measures models were built to describe trajectories of (1) global HRQL for all children based on parent proxy report and (2) global HRQL for adolescents based on adolescent self-report and parent proxy report.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com