this is for holding javascript data
Benedict Irwin edited section_Another_Form_begin_equation__.tex
almost 8 years ago
Commit id: 39a8934ceed2b582cc04e199f7fa76ef5b61fe34
deletions | additions
diff --git a/section_Another_Form_begin_equation__.tex b/section_Another_Form_begin_equation__.tex
index 6be1768..9440a72 100644
--- a/section_Another_Form_begin_equation__.tex
+++ b/section_Another_Form_begin_equation__.tex
...
\end{equation}
and so on till we have an infinite token $Z$, or just a constant, and \begin{equation}
\log\left(\prod_{k=1}^\infty Zx^k+f(k)\right) = Z\sum_{k=1}^\infty \frac{x^k}{f(k)} -\frac{Z^2}{2}\sum_{k=1}^\infty \frac{x^{2k}}{f(k)^2} +\frac{Z^3}{3}\sum_{k=1}^\infty \frac{x^{3k}}{f(k)^3}-\frac{Z^4}{4}\sum_{k=1}^\infty \frac{x^{4k}}{f(k)^4} +\cdots\\
\log\left(\prod_{k=1}^\infty Zx^k+f(k)\right) = \sum_{j=1}^\infty \frac{(-1)^{j+1}Z^j}{j}\sum_{k=1}^\infty
\frac{x^{jk}}{f(k)^j} \frac{x^{jk}}{f(k)^j}\\
\log\left(\prod_{k=1}^\infty Zx^k+f(k)\right) = \log\left(1+Z\sum_{k=1}^\infty \frac{x^{jk}}{f(k)^j}\right)
\end{equation}