this is test
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This is a subtitle
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\[ \epsilon = \sqrt{\frac{1}{n} \sum_{i=1}^n (\log(p_i + 1) - \log(a_i+1))^2 } \]
is created by this:
\[
\epsilon = \sqrt{\frac{1}{n} \sum_{i=1}^n (\log(p_i + 1) - \log(a_i+1))^2 }
\]
Acknowledgements
We thank Professor Plum, Ph.D. for providing this dataset.