The phrase "axis trajectory" is correct and usable in written English.
It can be used in contexts related to physics, mathematics, or any field that involves movement along a defined path or axis.
Example: "The axis trajectory of the satellite was carefully calculated to ensure it remained in orbit."
Alternatives: "path along the axis" or "trajectory along the axis".
By solving the linear system of equations, the tool axis trajectory surface is deformed.
The tool axis trajectory surface is a ruled surface, which is generated by moving the tool axis.
Hole profiles and tool axis trajectory of the tool were simulated for both regular and optimum irregular tooth spacing cases.
The proposition that the envelope surface of cylindrical cutter is the offset surface of tool axis trajectory surface is proved using kinematics approach.
First, given initial tool path or tool axis trajectory surface, the grazing points of the tool envelope surface can be calculated.
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 dual-Bézier transition algorithm has three advantages: (1) Compared with the path-smoothing method in the workpiece coordinate system, the new dual-Bézier transition method directly and simultaneously smooths the machine tool axis trajectories of both translational path and rotational path.
The results show that the proposed outer-loop control structure is capable of improving the Y-axis trajectory error and Y-axis trajectory maneuvers significantly.
When compared with existing multi-axis trajectory generation methods, the proposed method is greatly simplified by mapping the tool pose commands from the Cartesian coordinate frame to the cylindrical coordinate frame.
In other words: it seems that the (on-axis) trajectory of single limbs is not really different between pcd and control mice, but what about the timing?
There are differences between control and pcd in Figure 3F-H – these are the off-axis movements and joint angles and we fully agree that these reflect ataxia, which is why we refer specifically to "forward" or "on-axis" trajectories vs. "3D" or "off-axis" trajectories throughout the Results and Discussion.
