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pokerfan

(27,677 posts)
Tue Mar 14, 2017, 03:58 AM Mar 2017

Happy Pi Day (3/14) but Pi is still wrong.

Not wrong as calculated. It just makes more sense to base the "circle ratio constant" on the radius rather than the diameter. Every time places pi crops up in nature, it's almost always related to the center or origin of the circle, not its diameter. Using a ratio based on the diameter just obscures the beauty or at the very least the clarity of the mathematics.

https://www.scientificamerican.com/article/let-s-use-tau-it-s-easier-than-pi/

10 replies = new reply since forum marked as read
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Happy Pi Day (3/14) but Pi is still wrong. (Original Post) pokerfan Mar 2017 OP
Yes, but Hugo24601 Mar 2017 #1
Yes. Fortinbras Armstrong Mar 2017 #10
Pi is right because it fits perfectly into the most beautiful equation in mathmatics... PoliticAverse Mar 2017 #2
But Euler's identity is even more clear with τ pokerfan Mar 2017 #3
I never did like that it took 2PI for a revolution either. n/t PoliticAverse Mar 2017 #4
It can be inconvenient to carry the "2" around in a lot of equations too! Lucky Luciano Mar 2017 #6
You're just making up words underpants Mar 2017 #5
Tau is a very cromulent word. n/t PoliticAverse Mar 2017 #7
And putting them in random order matt819 Mar 2017 #8
Happy Pi day to all Gothmog Mar 2017 #9

Fortinbras Armstrong

(4,473 posts)
10. Yes.
Tue Mar 14, 2017, 11:30 AM
Mar 2017

Here is the proof.

(Equation 1) X = .99999...

Multiply both sides by 10, giving Equation 2, 10x = 9.99999...

Subtract Equation 2 from Equation 1:

10X = 9.99999...
- X = .99999

This gives 9X = 9.

Divide both sides by 9, and you get X = 1

If you remember your calculus courses (you did study calculus, didn't you), it can also be proven using Abel's test on a converging series.

pokerfan

(27,677 posts)
3. But Euler's identity is even more clear with τ
Tue Mar 14, 2017, 05:39 AM
Mar 2017

e = 1

Simple, concise, beautiful.

In English, one complete turn or 'τ' around the unit circle brings you back to 1 (unity), not halfway as 1π which leaves you stranded at -1. It never made any sense to this engineer that it takes 2π to make one revolution.

https://hexnet.org/files/documents/tau-manifesto.pdf

Lucky Luciano

(11,254 posts)
6. It can be inconvenient to carry the "2" around in a lot of equations too!
Tue Mar 14, 2017, 07:33 AM
Mar 2017

Like the normal density function and many other functions.

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