| $$rr_{0} \\leftarrow_{} 0.0$$ |
| $$rr_{1} \\leftarrow_{} 1.9$$ |
| $$F_{x} \\leftarrow_{} 1.0 \\cdot 10^{-6}$$ |
| $$F_{y} \\leftarrow_{} 0$$ |
| $$partial_{m m1 e 0} \\leftarrow_{} f_{3} + f_{5} + f_{7}$$ |
| $$partial_{m 0 e 0} \\leftarrow_{} f_{0} + f_{1} + f_{2}$$ |
| $$partial_{m 1 e 0} \\leftarrow_{} f_{4} + f_{6} + f_{8}$$ |
| $$partial_{m m1 e 1} \\leftarrow_{} f_{5} - f_{7}$$ |
| $$partial_{m 0 e 1} \\leftarrow_{} f_{1} - f_{2}$$ |
| $$partial_{m 1 e 1} \\leftarrow_{} f_{6} - f_{8}$$ |
| $$partial_{m m1 e 2} \\leftarrow_{} f_{5} + f_{7}$$ |
| $$partial_{m 0 e 2} \\leftarrow_{} f_{1} + f_{2}$$ |
| $$partial_{m 1 e 2} \\leftarrow_{} f_{6} + f_{8}$$ |
| $$m_{00} \\leftarrow_{} partial_{m 0 e 0} + partial_{m 1 e 0} + partial_{m m1 e 0}$$ |
| $$m_{10} \\leftarrow_{} partial_{m 1 e 0} - partial_{m m1 e 0}$$ |
| $$m_{01} \\leftarrow_{} partial_{m 0 e 1} + partial_{m 1 e 1} + partial_{m m1 e 1}$$ |
| $$m_{20} \\leftarrow_{} partial_{m 1 e 0} + partial_{m m1 e 0}$$ |
| $$m_{02} \\leftarrow_{} partial_{m 0 e 2} + partial_{m 1 e 2} + partial_{m m1 e 2}$$ |
| $$m_{11} \\leftarrow_{} partial_{m 1 e 1} - partial_{m m1 e 1}$$ |
| $$m_{21} \\leftarrow_{} partial_{m 1 e 1} + partial_{m m1 e 1}$$ |
| $$m_{12} \\leftarrow_{} partial_{m 1 e 2} - partial_{m m1 e 2}$$ |
| $$m_{22} \\leftarrow_{} partial_{m 1 e 2} + partial_{m m1 e 2}$$ |
| $$\\delta_{\\rho} \\leftarrow_{} m_{00}$$ |
| $$u_{0} \\leftarrow_{} m_{10}$$ |
| $$u_{1} \\leftarrow_{} m_{01}$$ |
| $$\\rho \\leftarrow_{} \\delta_{\\rho} + 1$$ |
| $$M_{0} \\leftarrow_{} m_{00}$$ |
| $$M_{1} \\leftarrow_{} m_{10}$$ |
| $$M_{2} \\leftarrow_{} m_{01}$$ |
| $$M_{3} \\leftarrow_{} - m_{02} + m_{20}$$ |
| $$M_{4} \\leftarrow_{} m_{11}$$ |
| $$M_{5} \\leftarrow_{} - 2 m_{00} + 3 m_{02} + 3 m_{20}$$ |
| $$M_{6} \\leftarrow_{} - m_{01} + 3 m_{21}$$ |
| $$M_{7} \\leftarrow_{} - m_{10} + 3 m_{12}$$ |
| $$M_{8} \\leftarrow_{} m_{00} - 3 m_{02} - 3 m_{20} + 9 m_{22}$$ |
| $$M_{post 0} \\leftarrow_{} M_{0} + rr_{0} \\left(- M_{0} + \\delta_{\\rho}\\right)$$ |
| $$M_{post 1} \\leftarrow_{} F_{x} + M_{1} + rr_{0} \\left(- M_{1} + u_{0}\\right)$$ |
| $$M_{post 2} \\leftarrow_{} F_{y} + M_{2} + rr_{0} \\left(- M_{2} + u_{1}\\right)$$ |
| $$M_{post 5} \\leftarrow_{} 6 F_{x} u_{0} + 6 F_{y} u_{1} + M_{5} + rr_{1} \\left(- M_{5} + 3 u_{0}^{2} + 3 u_{1}^{2}\\right)$$ |
| $$M_{post 6} \\leftarrow_{} - M_{6} rr_{1} + M_{6}$$ |
| $$M_{post 7} \\leftarrow_{} - M_{7} rr_{1} + M_{7}$$ |
| $$M_{post 8} \\leftarrow_{} - M_{8} rr_{1} + M_{8}$$ |
| $$sub_{k to f 18} \\leftarrow_{} \\frac{1}{2}$$ |
| $$sub_{k to f 19} \\leftarrow_{} \\frac{1}{3}$$ |
| $$sub_{k to f 20} \\leftarrow_{} \\frac{1}{6}$$ |
| $$sub_{k to f 21} \\leftarrow_{} \\frac{1}{9}$$ |
| $$sub_{k to f 22} \\leftarrow_{} \\frac{1}{4}$$ |
| $$m_{post 00} \\leftarrow_{} M_{post 0}$$ |
| $$m_{post 10} \\leftarrow_{} M_{post 1}$$ |
| $$m_{post 01} \\leftarrow_{} M_{post 2}$$ |
| $$m_{post 21} \\leftarrow_{} sub_{k to f 19} \\left(M_{post 2} + M_{post 6}\\right)$$ |
| $$m_{post 12} \\leftarrow_{} sub_{k to f 19} \\left(M_{post 1} + M_{post 7}\\right)$$ |
| $$m_{post 22} \\leftarrow_{} sub_{k to f 21} \\left(M_{post 0} + M_{post 5} + M_{post 8}\\right)$$ |
| $$sub_{k to f 11} \\leftarrow_{} sub_{k to f 18} \\left(m_{post 01} - m_{post 21}\\right)$$ |
| $$sub_{k to f 13} \\leftarrow_{} sub_{k to f 18} \\left(- m_{post 10} + m_{post 12}\\right)$$ |
| $$sub_{k to f 15} \\leftarrow_{} sub_{k to f 22} \\left(- m_{post 12} + m_{post 21}\\right)$$ |
| $$sub_{k to f 17} \\leftarrow_{} sub_{k to f 22} \\left(m_{post 12} + m_{post 21}\\right)$$ |
| $$\\tau_{0} \\leftarrow_{} \\frac{1}{\\omega}$$ |
| $$\\Pi \\leftarrow_{} \\sqrt{4 \\left(- f_{5} + f_{6} + f_{7} - f_{8} - u_{0} u_{1}\\right)^{2} + 2 \\left(- \\frac{\\delta_{\\rho}}{3} + f_{1} + f_{2} + f_{5} + f_{6} + f_{7} + f_{8} - u_{1}^{2}\\right)^{2} + 2 \\left(- \\frac{\\delta_{\\rho}}{3} + f_{3} + f_{4} + f_{5} + f_{6} + f_{7} + f_{8} - u_{0}^{2}\\right)^{2}}$$ |
| $$\\omega_{total} \\leftarrow_{} \\frac{1}{\\frac{\\tau_{0}}{2} + \\frac{\\sqrt{18 C_{S}^{2} \\Pi + \\tau_{0}^{2}}}{2}}$$ |
| $$M_{post 3} \\leftarrow_{} 2 F_{x} u_{0} - 2 F_{y} u_{1} + M_{3} + \\omega_{total} \\left(- M_{3} + u_{0}^{2} - u_{1}^{2}\\right)$$ |
| $$M_{post 4} \\leftarrow_{} F_{x} u_{1} + F_{y} u_{0} + M_{4} + \\omega_{total} \\left(- M_{4} + u_{0} u_{1}\\right)$$ |
| $$m_{post 20} \\leftarrow_{} M_{post 0} sub_{k to f 19} + M_{post 3} sub_{k to f 18} + M_{post 5} sub_{k to f 20}$$ |
| $$m_{post 02} \\leftarrow_{} M_{post 0} sub_{k to f 19} - M_{post 3} sub_{k to f 18} + M_{post 5} sub_{k to f 20}$$ |
| $$m_{post 11} \\leftarrow_{} M_{post 4}$$ |
| $$sub_{k to f 10} \\leftarrow_{} sub_{k to f 18} \\left(m_{post 02} - m_{post 22}\\right)$$ |
| $$sub_{k to f 12} \\leftarrow_{} sub_{k to f 18} \\left(m_{post 20} - m_{post 22}\\right)$$ |
| $$sub_{k to f 14} \\leftarrow_{} sub_{k to f 22} \\left(- m_{post 11} + m_{post 22}\\right)$$ |
| $$sub_{k to f 16} \\leftarrow_{} sub_{k to f 22} \\left(m_{post 11} + m_{post 22}\\right)$$ |