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WATER INSIDE WATER #1:
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A4 is the most commonly available paper size worldwide. Any An paper size can be defined as An = S × L, where (measuring in metres):

{\displaystyle {\text{A}}_{n}={\begin{cases}S=\left({\sqrt {\frac {1}{2}}}\right)^{n+1/2}\\L=\left({\sqrt {\frac {1}{2}}}\right)^{n-1/2}\end{cases}}}

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