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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 is explained by a simple equation. Using the example of modeling a population of rabbits, the growth rate must be constrained to prevent exponential growth forever. By adding a term that represents the constraints of the environment, such as 1 minus X, where X is the population as a percentage of the maximum, a more realistic model can be developed. This video is sponsored by Fasthosts, offering UK viewers a chance to win a trip to South by Southwest by answering a question at the end of the video. Stay tuned for that.
