I'm teaching a graduate course in mathematical modeling of natural processes. Many math modeling techniques rely on the random numbers and are more generally known as stochastic algorithms. A simple example is numerical integration. We used numerical integration techniques to the value of pi by (virtually) throwing darts at a circular target embedded in square (figure). The ratio of hits inside the circle to the total hits is pi/4. Stochastic comes from the Greek
stochastikos "to take a guess", which itself derives from
stochos - "target", so the target image above is apt.
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