Pi is Wrong?
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Re: Pi is Wrong?
"I've got Pi here and I've got Pi there... I'm Pi winning"
lol'dOriginally posted by ?祇園精舎の鐘の聲、
諸行無常の響あり。
娑羅雙樹の花の色、
盛者必衰のことわりをあらはす。
おごれる人も久しからず、
唯春の夜の夢のごとし。
たけき者も遂にほろびぬ、
偏に風の前の塵に同じ。
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Re: Pi is Wrong?
I love Vi Hart's videos lmfao. That was pretty cool.
I like this one lmfao
she's so amusing and intelligent it's awesomeComment
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Re: Pi is Wrong?
This chick is retarded as shit.
"WAH WAH the unit circle is 2pi why not just pi WAH WAH"
The ratio of circumference to radius is 2*pi. A radian is just a way of asking how many radius lengths can be wrapped around a circle. When we're talking about pi radians, for instance, that means we're taking a pi number of radius-lengths and going around the circle. It'll get us exactly halfway.
If you replace it with this tau shit to make a unit circle equal to 1 tau or 2*pi, that means that in other scenarios we'd have to replace pi with tau/2. We COULD replace the definition of a radian in terms of diameter lengths to say "it takes pi radians to go around the circle" but then this screws up the way countless other applications are handled where radians are concerned. She says a radius is the most fundamental thing about a circle without realizing that the radius is where radians are DERIVED FROM lmfao (a radian is an arcsweep from a radius, defined in terms of the radius). I could just as easily say that this aspect of the radius is "fundamental" in favor of 2pi unit circles.
It'd be like me saying that we should make pi easier to handle by just counting in base pi. Instead of calling pi 3.14159... we could just call it 10 because 1*pi^1 + 0*pi^0 = pi^0. But this would make our normal number system look totally disgusting otherwise (4 would require an infinite number of digits to represent).
In other words, if you make one thing convenient, you usually lose convenience elsewhere. You can't have it both ways. Unit circle's fine as is. You screw up a lot more than you solve with the tau system. Trig is ugly no matter how you approach it. Previously-convenient things become ugly and previously-ugly things become convenient.Last edited by Reincarnate; 03-14-2011, 12:07 PM.Comment
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Re: Pi is Wrong?
We use 2*pi because of how we construct the unit circle from the expansion of the complex exponential e^(ix) into its sin and cos parts. The even-ness of cos and odd-ness of sin don't make near as much sense if you use that stupid tau shit instead of pi.

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Re: Pi is Wrong?
<3 Vi Hart. I'm not going to pretend I know which way would be more convenient overall, but I like the way she presented it.Originally posted by JemJem is my name. No one else is the same!
You're Aja Leith of the Holograms! You're very exotic, intelligent and sophisticated.Comment
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Re: Pi is Wrong?
She's going to prove it's possible to divide by effing zero next...Originally posted by apersonyoloComment
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