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The beauty of Mathematics and Science.....

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  Ever wondered what is this pattern? Some of have seen this pattern get zoom into and then repeating itself from the small outgrowths present and it continues as if there is no end to this.. This is called as the MANDELBROT Set. This set is characterised by a set of complex numbers that come in the equation of  , which does not diverge if z=0, i.e. for the function f(0) and so on. For each value of c the set becomes more stable. and thus sometimes cannot remain stable. There is something common between the reproduction of the population, a leaking tap water, and the human heart beats and neuronal transmission. The amount of times a population can grow is just a multiplication factor, for instance if u know that the population of rabbits double every year then u can easily predict the population next year. If u plot the graph of population of this year and next year, u get an inverted parabola (something similar to shown in graph below). Now if u know the growth factor u can a...