Homelab

homelab

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$$ x_{n+1}=x_n-\frac{\operatorname{asinh}\!\bigl(2\,b\,x_n\bigr) +2\,b\,x_n\,\sqrt{4b^{2}x_n^{2}+1} -4ab} {4\,b\,\sqrt{4b^{2}x_n^{2}+1}} $$