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Benedict Irwin edited section_Another_Form_begin_equation__.tex
almost 8 years ago
Commit id: 5c26f1613fd85460d21188f94b2221500ff05039
deletions | additions
diff --git a/section_Another_Form_begin_equation__.tex b/section_Another_Form_begin_equation__.tex
index b1306e2..e70de1c 100644
--- a/section_Another_Form_begin_equation__.tex
+++ b/section_Another_Form_begin_equation__.tex
...
\sum_{q=1}^\infty \frac{1}{q}\sum_{d|q} dx^q(1-x^q) = \log\left(\prod_{k=1}^\infty 1+x^{k} \right)
\end{equation}
these are then statements that \begin{equation}
(1+x^2)(1+x^3)(1+x^5)(1+x^7)(1+x^11)(1+x^13)=\exp\left(\frac{1}{2}(2x^2-2x^4)+\frac{1}{3}(3x^3-3x^6)+\frac{1}{4}(2x^4-2x^8)+\frac{1}{5}(5x^5-5x^10) (1+x^2)(1+x^3)(1+x^5)(1+x^7)(1+x^{11})(1+x^{13})\cdots=\exp\left(\frac{1}{2}(2x^2-2x^4)+\frac{1}{3}(3x^3-3x^6)+\frac{1}{4}(2x^4-2x^8)+\frac{1}{5}(5x^5-5x^{10})+\cdots \right)
\end{equation}