Tuesday, January 23, 2018

[vkzutrjs] Drops and bubbles

We consider a function oscillating around zero, e.g., Riemann-Siegel Z function.  When the function is positive, a dropper above a pool of liquid fills a droplet with liquid at a rate proportional to the value of the function, so the size of the droplet is proportional to the area under the curve.  The droplet disconnects from the dropper when the function hits zero, and the drop falls to the surface of the pool of liquid below.  Similarly, a bubble is formed and rises to the surface for when the function is negative.  Drops and bubbles meet the surface in a rhythm corresponding to the zeroes of the function.

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