Unformatted text preview: For instance, why are there spectral lines in the diagram? These blank spaces are where there are attracting periodic points. What are the dark regions? These are values of for which there are no attracting periodic points. Some of the most prestigious and talented mathematicians of our time have devoted a major portion of their careers to studying this diagram. It is just one of many major discoveries in mathematics in our time. ! axis x ! axis 3.5 4 1 f ( x ) = ! x ! (1 " x )...
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 Spring '08
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 Calculus, Bifurcation diagram, Quadratic Family

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