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Table 1 Parametric errors for three-axis MT

From: Three-axes error modeling based on second order dual numbers

Axis

Axis error (ISO/paper symbol)

X-axis

EXX/\(\delta_{xx}\)

EYX/\(\delta_{yx}\)

EZX/\(\delta _{zx}\)

EAX/\({\varepsilon }_{xx}\)

EBX/\({\varepsilon }_{yx}\)

ECX/\({\varepsilon }_{zx}\)

Y-axis

EXY/\(\delta_{xy}\)

EYY/\(\delta_{yy}\)

EZY/\(\delta _{zy}\)

EAY/\({\varepsilon }_{xy}\)

EBY/\({\varepsilon }_{yy}\)

ECY/\({\varepsilon }_{zy}\)

Z-axis

EXZ/\(\delta_{xz}\)

EYZ/\(\delta_{yz}\)

EZZ/\(\delta _{zz}\)

EAZ/\({\varepsilon }_{xz}\)

EBZ/\({\varepsilon }_{yz}\)

ECZ/\({\varepsilon }_{zz}\)

Axis

Squareness error (ISO/paper symbol)

X-axis

\(\mathrm{B0Z}\)/\(S_{xy}\)

 

\(\mathrm{C0Y}\)/\(S_{xz}\)

Y-axis

\(\mathrm{A0Z}\)/\(S_{yz}\)

 

Z-axis

 

\(\mathrm{C0Y}\)/\(S_{xz}\)