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whats the connection between a dripping faucet the Mandelbrot set a population of rabbits thermal convection in a fluid and the firing of neurons in your brain its this one simple equation this video is sponsored by fast hosts who are offering UK viewers the chance to win a trip to South by Southwest if they can answer my question at the end of this video so stay tuned for that lets say you want to model a population of rabbits if you have X rabbits this year how many rabbits will you have next year well the simplest model I can imagine is where we just multiplied by some number the growth rate R which could be say 2 and this would mean the population would double every year and the problem with that is it means the number of rabbits would grow exponentially forever so I can add the term 1 minus X to represent the constraints of the environment and here Im imagining the population X is a percentage of the theoretical maximum so it goes from 0 to 1 and as it approaches that maximum
