Author Topic: Pi is Wrong  (Read 10561 times)

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Offline squidgetx

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Pi is Wrong
« on: March 19, 2011, 05:17:18 pm »
http://www.youtube.com/watch?v=jG7vhMMXagQ&feature=player_embedded

Watch O.o

(For some reason it won't embed properly with the [youtube] tag <_<)

Something not mentioned in the video. Take a look at what happens to our circumference formula.
C=τr
And to our area formula
A=∫C dr=∫τr dr
=1/2τr2

Now how beautiful is that? Falls right in line with our
Gravitational Acceleration Function: y=1/2gt2
Hooke's Law: U=1/2kx2
Kinetic Energy Function: 1/2mv2
« Last Edit: March 19, 2011, 05:35:53 pm by squidgetx »

Offline Munchor

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Re: Pi is Wrong
« Reply #1 on: March 19, 2011, 05:24:53 pm »


Now it works.

Offline willrandship

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Re: Pi is Wrong
« Reply #2 on: March 19, 2011, 05:31:55 pm »
Lol, they just changed it to reference diameter rather than radius. :P

Offline squidgetx

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Re: Pi is Wrong
« Reply #3 on: March 19, 2011, 05:38:52 pm »
Tau references radius, pi references diameter

Offline Happybobjr

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Re: Pi is Wrong
« Reply #4 on: March 19, 2011, 05:54:19 pm »
I do agree with it though. :/

I dislike that pi = 180
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Offline AngelFish

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Re: Pi is Wrong
« Reply #5 on: March 19, 2011, 06:00:30 pm »
I'm not sure why everyone makes an issue of Tau being better than Pi. It's not really important, since Tau is a constant multiple of Pi. That's like saying that 6 is better than 3 because 2*3 = 6. It's not really that big of a difference, except in that {x|(x Mod Tau) = 0}⊆ {x|(x Mod Pi) = 0}

EDIT: ( {x|(x Mod Tau) = 0}⊆{x|(x Mod Pi) = 0} ) ^ ( {X∈{x|(x Mod Pi) = 0}|X∉{x|(x Mod Tau)}}≠∅)

It's starting to look like Haskell now...
« Last Edit: March 19, 2011, 06:11:57 pm by Qwerty.55 »
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline squidgetx

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Re: Pi is Wrong
« Reply #6 on: March 19, 2011, 06:11:50 pm »
I'm not sure why everyone makes an issue of Pi being better than Tau. It's not really important, since Pi is a constant multiple of Tau. That's like saying that 3 is better than 6 because 6*.5 = 3

Not to troll or anything, but it works both ways :P

Anyway, I think that it really is more important. Practically EVERY mathematical formula using pi uses 2pi, not just pi. And conceptually, it's way more fundamental. 360 degrees = 1 tau, not 2pi. One half tau = one half a circle. See?
« Last Edit: March 19, 2011, 06:12:24 pm by squidgetx »

Offline AngelFish

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Re: Pi is Wrong
« Reply #7 on: March 19, 2011, 06:14:07 pm »
What I was getting at is that the difference is so minor that there's no reason to change convention. Plus, A = r2π is nicer than A=(Tau/2)r2

List of places where Tau would be just as bad as or worse than Pi:

Euler's identity: E=-1

Heisenberg uncertainty principle: Δx Δp = h/4π
Coulomb's law: F = |q1 q2|/(4πε0r2)

-∞ e-x2 = √(π)

Standard Cauchy distribution: (π(1+x2))-1

More coming...
« Last Edit: March 19, 2011, 06:25:25 pm by Qwerty.55 »
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline squidgetx

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Re: Pi is Wrong
« Reply #8 on: March 19, 2011, 06:22:44 pm »
New Euler's identity: eτi=1. WHAT NOW. Or eτi=1+0. Whatever.

You didn't watch the video, did you? As for A=1/2 τ r^2, see the first post. And all those 4π's just change to 2τ's, it's not any more or less awkward. Also, I have 1111 posts. Therefore, your argument is invalid (j/k lol ;))

Edit at HOMER-16: No, the point is that we should always go with tau over pi. Name me ONE equation where pi is better and more mathematically convenient than tau.
« Last Edit: March 19, 2011, 06:28:20 pm by squidgetx »

Offline Scipi

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Re: Pi is Wrong
« Reply #9 on: March 19, 2011, 06:25:00 pm »
So, use Pi for some equations, and Tau for others depending on which works better.

Edit: Ninja'd
« Last Edit: March 19, 2011, 06:25:17 pm by HOMER-16 »

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Offline AngelFish

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Re: Pi is Wrong
« Reply #10 on: March 19, 2011, 06:26:46 pm »
Euler's identity: eτi=1. WHAT NOW. Or eτi=1+0. Whatever.

Um, Check it
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline Goplat

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Re: Pi is Wrong
« Reply #11 on: March 19, 2011, 06:26:57 pm »
Heisenberg uncertainty principle: Δx Δp = h/4π
I think most physicists would agree that the more natural constant is ħ = h/2π. (There's that 2π again.)
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Offline squidgetx

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Re: Pi is Wrong
« Reply #12 on: March 19, 2011, 06:27:50 pm »
I said e^tau i = 1

Damn, now I don't have 1111 posts :(

Integral over all space in polar coordinates:
0τ0f(r,θ)r d rdθ

Normal distribution:
(1/√τσ)e−(x−μ)^2/2σ^2

Fourier transform:
f(x)=∫-∞F(k)eiτkxdk
F(k)=∫-∞f(x)e−iτkxdx

Cauchy’s integral formula:
f(a)=1/iτ∮γf(z)/(z−a) dz

nth roots of unity:
eiτ/n

The Riemann zeta function for positive even integers:
ζ(2n)=∑k=11/k2n=Bnτ2n/[2(2n)!]  n=1,2,3,…
« Last Edit: March 19, 2011, 06:38:16 pm by squidgetx »

Offline AngelFish

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Re: Pi is Wrong
« Reply #13 on: March 19, 2011, 06:34:24 pm »
Heisenberg uncertainty principle: Δx Δp = h/4π
I think most physicists would agree that the more natural constant is ħ = h/2π. (There's that 2π again.)

Well, I can't argue with the reduced Planck's constant.

I said e^tau i = 1

Damn, now I don't have 1111 posts :(

Muahahahahaha, you took the bait to destroy your evil power  >:D

j/k  :P

What I'm saying is that I have no problem with either Tau or Pi. But saying that we should be teaching students one or the other is kind of stupid since neither one really simplifies anything. I mean, if I can take an equation with a couple of variables and operations, then blow it up into a hundred operation expression through "simplification," then using a factor of 2 or 1/2 doesn't seem like a bad thing to deal with.
« Last Edit: March 19, 2011, 06:35:12 pm by Qwerty.55 »
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline TsukasaZX

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Re: Pi is Wrong
« Reply #14 on: March 19, 2011, 06:45:31 pm »
More useful than pi or not, I'll have to try to use Tau in my equations more often :P

Coupled with my occasional use of as my constant for indefinite integrals (as opposed to C or K), I'll have VERY Star Driver mathematics now :D

Well, technically the Phoenician 'Tau' is an X not a t, so I'm _already_ doing very Star Driver math but whatever heh
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