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The phrase "axis vertical" is correct and usable in written English.
It can be used in contexts related to geometry, graphs, or any situation where the orientation of an axis is being described.
Example: "In the graph, the axis vertical represents the dependent variable, while the horizontal axis represents the independent variable."
Alternatives: "vertical axis" or "upright axis".
Exact(26)
When an electric field E is applied along the cube axis (vertical), the polarization P rotates from the cube diagonal towards the cube axis.
If it is initially set spinning with a vertical axis, there will be virtually no torque, and conservation of angular momentum will keep the axis vertical for a long time.
The separator is made of a T-junction with the run arms placed horizontally while the branch arm is placed with its axis vertical.
Cracking forces of pine nut for loading on the lateral axis, vertical axis and thickness were determined to be 429.27, 639.53 and 468.18 N, respectively.
At the time of 700 ms when the explosion process basically finishes, the dust cloud expands to a semi ellipsoid with a 14 m major axis (vertical) and a 10 m minor axis (horizontal).
This paper presents a two-degree-of-freedom (two-DOF) linear encoder which can measure the position along the moving axis (X-axis) and the straightness along the axis vertical to the moving axis (Z-axis) of a precision linear stage simultaneously.
Similar(34)
The horizontal axis (x-axis) was set parallel to the bottom of the frame, and the perpendicular axis (y-axis), vertical to the bottom of the frame.
"Tiltz_elbow" specifically stores angle value derived from integrating the angular velocities about z-axis (vertical axis) every dt equal to 0.001s.
The lack of alignment between the actin filament and the motor ensemble in the single laser trap and in any other existing system based on single actin-single myosin filament13,14,15 is likely the reason of their limited performance, as the attached head closest to the bead experiences an additional stress generated by the out-of-axis vertical component of the ensemble force.
Example of developing the digital-twins of a 3-axis vertical milling machine is presented to demonstrate the concept of modeling and building a digital-twins virtual machine tool for cyber-physical manufacturing.
For high-resolution imaging without bulky external vibration isolation, this paper presents an atomic force microscope (AFM) capable of vibration isolation with its internal Z-axis (vertical) actuators moving the AFM probe.
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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