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rortian comments on Open Thread: March 2010, part 2 - Less Wrong
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Has anybody else wished that the value of the symbol, pi, was doubled? It becomes far more intuitive this way--this may even affect uptake of trigonometry in school. This rates up with declaring the electron's charge as negative rather than positive.
e^(pi*i) = -1
Anything else: lame.
Uh, how is e^(pi*i) = 1 lame?
Maybe because e^0 = 1?
Well making pi=2pi would just mean the complex exponential function would repeat itself every pi radians instead of every 2pi radians. e^0 would still = 1 in either case. Note that in the current definition, e^jn(2pi) = 1 for any integer n.
e^(2*Pi*i) - 1 = 0. Hah. I fit in more numbers.