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On page 67, "According to the binomial theorem," ... What follows on the right hand side, I'm not sure where that came from. According wikipedia: (1+x)^n = \s
by jaekwon 12y ago
On page 67, "According to the binomial theorem," ...
What follows on the right hand side, I'm not sure where that came from.
According wikipedia: (1+x)^n = \sum_{k=0}^n {n \choose k}x^k. If you plug in 1/2 for n, you get a sum from n=0 to n=1/2, not n=0 to n=infinity as in the paper. So, this is confusing :)
- jaekwon 12y agoOn second thought, it looks what the binomial theorem could be extended such that k (in the paper this is n) goes to infinity, though for values of k greater than n the value is zero. I'm more intuitive than mathematical. The thing feels like taking a taylor series of a square wave.
- arjie 12y agoHe meant the Binomial series (i.e. the Taylor series about the origin of (1+x)^n. https://en.wikipedia.org/wiki/Binomial_series https://en.wikipedia.org/wiki/Binomial_series