deletions | additions       diff --git a/section_Another_Form_begin_equation__.tex b/section_Another_Form_begin_equation__.tex  index 38aa379..6be1768 100644  --- a/section_Another_Form_begin_equation__.tex  +++ b/section_Another_Form_begin_equation__.tex 
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\log\left(\prod_{k=1}^\infty Bx^k+f(k)\right) = B\sum_{k=1}^\infty \frac{x^k}{f(k)} -\frac{B^2}{2}\sum_{k=1}^\infty \frac{x^{2k}}{f(k)^2}  \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}-\cdots\\ \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}  \end{equation}