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Table 1 Integration limit in one pitch

From: Bone Milling: On Monitoring Cutting State and Force Using Sound Signals

\(\theta\) Integration limit Case
1
Case
2
Case
3
Case
4
\(0<\theta <{z}_{0}\mathrm{tan}\left({\varphi }_{0}\right)/{R}_{0}\) \({z}_{1}\) 0 0 \({R}_{0}\mathrm{cot}\left({\varphi }_{0}\right)\theta\) 0
\({z}_{2}\) \({R}_{0}\mathrm{cot}\left({\varphi }_{0}\right)\theta\) \({z}_{0}\) \({z}_{0}\) 0
\({z}_{0}\mathrm{tan}\left({\varphi }_{0}\right)/{R}_{0}<\theta <{\varphi }_{0}\) \({z}_{1}\) 0 0 0 0
\({z}_{1}\) \({z}_{0}\) \({z}_{0}\) 0 0