Talk:Total circles area: Difference between revisions
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== Integral solution? ==
Does this solution with the [[wp:Heaviside step function|Heaviside step function]] (<math>H</math>) work?▼
:<math>\int_{(x,y)\in\mathbb{R}^2} (\prod_{i=1}^N H(
▲Does this solution with the Heaviside function (<math>H</math>) work?
▲:<math>\int_{(x,y)\in\mathbb{R}^2} (\prod_{i=1}^N H(r_i^2 - (x-c_x^{(i)})^2 - (y-c_y^{(i)})^2)) dx dy</math>
If it does maybe then we can write <math>H(x) = \lim_{k\to\infty}\frac{1}{1+e^{-2kx}}</math> and hope for things to simplify somehow?
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