# A \"Double Accuracy Theory\" and Experimental Research on Precision Grinding
## Appendix A Extended Calculation of Equation (11).
\(A_{11}=1-\eta_{z}C\cdot\varepsilon_{z}(x)-\varepsilon_{y}(x)\cdot\eta_{y}C+\cos \alpha\cdot\varepsilon_{zc}(x)[-\eta_{z}C-\varepsilon_{z}(x)]+\varepsilon_{zc}(x )\cdot\sin\alpha\cdot\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\}-\varepsilon_{yc}(x)\cdot\sin\alpha[\eta_{z}C+ \varepsilon_{z}(x)]-\varepsilon_{yc}(x)\cdot\cos\alpha[\eta_{z}C\cdot \varepsilon_{z}C]+\varepsilon_{y}(x)\}\)  
\(A_{12}=-\varepsilon_{zc}(x)[1-\eta_{z}C\cdot\varepsilon_{z}(x)-\varepsilon_{ y}(x)\cdot\eta_{y}C]+\cos\alpha[-\eta_{z}C-\varepsilon_{z}(x)]+\sin\alpha \cdot\{\eta_{z}C\cdot[1-\eta_{z}C\] \[\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}+\varepsilon_{xc}(x)\cdot \sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\varepsilon_{xc}(x)\cos\alpha\{[ \eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\] \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\] \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\] \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\] \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\] \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\] \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\] \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\] \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\] \[A_{22}=-\varepsilon_{zc}(x)\cdot\left[\varepsilon_{z}C+\eta_{z} C+\varepsilon_{x}(x)\cdot\eta_{y}C\right]+\cos\alpha[1-\eta_{z}C\cdot \varepsilon_{z}(x)]+\sin\alpha\{\eta_{y}C\cdot\left[\varepsilon_{z}(x)+\right.\] \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]0 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]1 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]2 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]3 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]4 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]5 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]6 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]7 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]8 \[A_{13}=\varepsilon_{yc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C -\varepsilon_{y}(x)\cdot\eta_{y}C]-\varepsilon_{xc}(x)\cdot\cos\alpha[1-\eta _{z}C-\varepsilon_{z}(x)]-\varepsilon_{xc}(x)\cdot\sin\alpha\]9 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]0 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]1 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]2 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]3 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]4 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]5 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]6\[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]7 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]8 \[\left\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+ \varepsilon_{y}(x)\right\}+\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+\cos \alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]9 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]0 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]1 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]2 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]3 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]4 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]5 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]6 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]7 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]8 \[A_{14}=\delta_{xc}(x)\cdot[1-\eta_{z}C\cdot\varepsilon_{z}(x)- \varepsilon_{y}(x)\cdot\eta_{y}C]+\delta_{yc}(x)\cdot\cos\alpha[-\eta_{z}C- \varepsilon_{z}(x)]+\delta_{yc}(x)\cdot\sin\alpha\cdot\]9 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]0 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]1 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]2 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]3 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]4 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]5 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]6 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]7 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]8 \[\left\{\eta_{z}C[1-\eta_{z}C\cdot\varepsilon_{z}C]+\varepsilon_{y }(x)\right\}+\delta_{zc}(x)\cdot\sin\alpha[\eta_{z}C+\varepsilon_{z}(x)]+ \delta_{zc}(x)\cos\alpha\{\eta_{z}C\cdot[1-\eta_{z}C\cdot\]9 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]0 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]1 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]2\[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]3 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]4 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]5 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]6 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]7 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]8 \[\varepsilon_{z}C]+\varepsilon_{y}(x)\}\]9 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]0 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]1 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]2 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]3 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]4 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]5 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]6 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]7 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]8 \[A_{21}=\varepsilon_{z}(x)+\eta_{z}C+\varepsilon_{z}(x)\cdot\eta_ {y}C+\varepsilon_{zc}(x)\cdot\cos\alpha[1-\eta_{z}C\cdot\varepsilon_{z}(x)]+ \varepsilon_{zc}(x)\cdot\sin\alpha\{\eta_{y}C\cdot\]9 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]0 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]1 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]2 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]3 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]4 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]5 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]6 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]7 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]8 \[\left[\varepsilon_{z}(x)+\eta_{z}C\right]-\varepsilon_{x}(x)\}+ \varepsilon_{yc}(x)\cdot\sin\alpha[1-\eta_{z}C\cdot\varepsilon_{z}C]- \varepsilon_{yc}(x)\cdot\cos\alpha\cdot\left\{\eta_{y}C\cdot\left[\varepsilon _{z}(x)+\right.\right.\]9 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]0 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]1 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]2 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]3 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]4 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]5 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]6 \[\left.\left.\eta_{z}C\right]-\varepsilon_{x}(x)\right\}\]7  
* [PERSON] et al.