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Cartesian coordinates are written below the positions.
Usually, these coordinates are written as ordered pairs in the form (x, y).
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The spiral curve in cylindrical coordinates is written as begin{aligned} R & = r text{theta} & = text{360} times n times t z & = t times h end{aligned} (2 where r is the radius of helix, n is the number of helix, the valve of t between 0 and 1, and h the pitch of helix.
Coordinates were written out every 0.5 ps.
Coordinates were written to the trajectory every 2 ps.
Trajectory coordinates were written down every 0.2 ns of simulation.
Coordinates were written to disk every 50 ps of simulation time.
A step size of 2 fs was used, and the coordinates were written out every 0.5 ps.
end{aligned} (23 where the ((x,,yy)) coordinate values are written in [mm] with respect to the end effector frame (E_1).
The equations are written in Cartesian coordinates to eliminate the pole singularity which plagues the equations in spherical coordinates.
The governing formulae are written in coordinate free invariant forms by means of vector and tensor algebra.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com