The phrase "a trajectory on a" is correct and usable in written English.
It can be used in contexts discussing paths, courses, or developments in various fields such as science, mathematics, or personal growth.
Example: "The research paper outlines a trajectory on a new approach to renewable energy sources."
Alternatives: "a path on a" or "a course on a".
This time series can be seen as a trajectory on a unit n-sphere.
This study compares three learning methods in a within-subject design by having 18 good and 18 poor 8-year-old writers master unfamiliar, letter-like patterns by (1) tracing a trajectory on a screen, (2) tracking a moving target (pursuit), and (3) performing the pattern using written explicit instructions.
Due to the precession of ϕ(t), the wave propagates forward through the network at a speed faster than the bump, resulting in sequential activation of cells along a trajectory on a compressed timescale.
Thus, even though the particle is momentarily stopped, it could leave the collision on a trajectory of higher amplitude – a sample such trajectory is shown in Fig. 2 b.
On a public transit line, every vehicle run is allocated to a route, serving a subset of stations along a trajectory on the line.
One may imagine a sequence of metastatic events in a patient as a trajectory on this dynamic cancer metastasis network.
Thus, a transition from one state to another occurs with an accelerated rate as a result of propagation of a trajectory on this modified energy surface.
Rosey and Auberlet [17] analyzed the lateral location of a vehicle trajectory on a straight slope (including one with a convex vertical curve) with different types of markers and guardrails, and found that various trajectories could be used to identify undesirable highway geometries.
Second, structural change in the three-sector framework can be modeled by a continuous trajectory on a bounded subset of a plane (cf. Stijepic 2015).
where is a discrete-time trajectory on a six-dimensional affine Lie group, is a velocity on the corresponding Lie algebra, are Gaussian white zero-mean stochastic processes.
