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Remove trailing spaces
The commands find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+ and find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+ were used to do so.
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538 changed files with 3496 additions and 3496 deletions
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@ -48,10 +48,10 @@ Now get back to the original equation:
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Now continue with only the numerator
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\begin{align}
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0 &\stackrel{!}{=}
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- 12 \alpha^3
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- 12 \alpha^3
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+ (\sqrt{3(4 \alpha^3 + 27 \beta^2)}-9\beta)^2
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+ 18 (\sqrt{3(4 \alpha^3 + 27 \beta^2)} - 9 \beta) \beta\\
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&=
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&=
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\color{red}- 12 \alpha^3 \color{black}+
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\left (
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3(\color{red}4 \alpha^3\color{black} + \color{blue}27 \beta^2 \color{black})
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