I am working on an equation set with some long equations. I use split to divide the long equations into multiple lines. However, I keep getting the error. ! Missing } inserted. } l.231 \end{align}
I expect to create an equation set like this:
Below is my code:
\begin{align} \label{eq:3.22}
\begin{split}
\left({PC}_i,{SV}_i\right) = &f_{PCA}(\bar{\frac{ds}{dt}},\sigma_\frac{dx_v}{dt},{CF}_\frac{dx_v}{dt},{\frac{ds}{dt}}_{max},\\
&{\frac{ds}{dt}}_{rms},{IF}_\frac{ds}{dt},{SF}_\frac{ds}{dt},{ED}_\frac{ds}{dt},{CLF}_\frac{ds}{dt})
\end{split} \\
\begin{split}
d_{j,m}(k) = &\sqrt{(\frac{{SV}_1({PC}_1(k)-{{PC}_{1,m}}^j)}{{SV}_1+{SV}_2+\ldots+{SV}_n})^2\\
&+(\frac{{SV}_2({PC}_2(k)-{{PC}_{2,m}}^j)}{{SV}_1+{SV}_2+\ldots+{SV}_n})^2+\ldots\\
&+(\frac{{SV}_n({PC}_n(k)-{{PC}_{n,m}}^j)}{{SV}_1+{SV}_2+\ldots+{SV}_n})^2}
\end{split} \\
P_{det,j}\left(k\right) = f_{det}(d_{j,m}\left(k\right),d_{j,m_1,m_2}\left(k\right)) \\
\begin{split}
s\left(k\right) = &s\left(k-1\right)+(m_3n_3\Delta T_j\left(k-1\right)^{n_3-1}\left(\Delta T_j\left(k\right)-\Delta T_j\left(k-1\right)\right)\\
&+m_1n_1\Delta K\left(k-1\right)^{n_1-1}(\Delta K\left(k\right)-\Delta K\left(k-1\right)))e^{\omega\left(k\right)}
\end{split} \\
l\left(k\right) = m_2{I_{load}}^{n_2}+m_3\Delta T_j\left(k\right)^{n_3} \\
y\left(k\right) = s\left(k\right)+v_1(k) \\
\Delta T_y\left(k\right) = \Delta T_j\left(k\right)+v_2\left(k\right) \\
\left[s(0) \Delta T_j(0) I_{load}\right] = \left[s_0 \Delta T_{j0} I_{load}\right]
\end{align}
I am particularly frustrated that trying some possible solutions in the other threads didn't help. Can anybody take a look? Thank you so much!
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inside the\sqrt{....}
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