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Visualizing the log-periodic pattern before crashes

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6/18/13
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I am reading this article and am not following the math. Does anyone know what level mathematics this is? Please note, it may be an undergraduate level, I am just getting into quant finance and am working on prerequisites now.

The math is in the screenshot I attached, it is from page 2 of this article: http://www.cse.ust.hk/~leichen/courses/comp630p/collection/reference-2-3.pdf

Thanks.
 

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  • Mathematics.jpg
    Mathematics.jpg
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on first inspection it looks like high school level pre-calculus...
 
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