/sci/ - Science & Math

[Anonymous No.5225215]

What does /sci/ think of tau's following compared to pi's? If they're right, why is pi still so popular?

[Anonymous No.5225226]

>>5225215
Tau is just 2pi. I don't really see the point.

[Anonymous No.5225232]

It gets the same job done.

[Anonymous No.5225229]

I support Tau. I think it will eventually win, but it's going to take a long time. Pi remains popular simply due to tradition. People have pi tattoos, pi day, pi pun shirts, memorize hundreds/thousands of digits of pie, etc. None of them want to be wrong (especially the tattooed ones).

[Anonymous No.5225230]

>>5225226
Using pi is less intuitive and complicates things

http://tauday.com/tau-manifesto

[Anonymous No.5225239]

>>5225229
>>none of them want to be wrong

>implying there is a right answer to this and people aren't just arguing over something completely arbitrary and trivial

[Anonymous No.5225247]

>>5225239

I could express the number of radians in a full revolution as 2e^(lnPi). It would work, but it would also be an inconvenient and retarded way to do it.

[Anonymous No.5225252]

If we adopt Tau, Euler's identity will lose its beauty.

[Anonymous No.5225260]

>>5225252
Bullshit. This is the single most bullshit argument anyone can make. Using Tau makes it better.

[Anonymous No.5225283]

>>5225260
>using imaginary numbers
> not seeing -1 anywhere
> 2012

the reason we don't use tau is the same reason we don't define an electron to have a positive charge. it's convention and it's been used so much over the years, there's no reason to change it now

[Anonymous No.5225294]

i always feel like <span class="math"> 2 [/spoiler] and <span class="math"> \pi [/spoiler] are a good pair. i although you see <span class="math"> 2 \pi [/spoiler] very often, <span class="math"> \frac{\pi}{2} [/spoiler] is also used, for example while defining <span class="math"> \pi [/spoiler] via first zero of <span class="math"> \cos [/spoiler]. And somewhere in the middle, they meet at <div class="math"> e^{i \pi} = -1 </div>
Using <span class="math"> \tau = 2 \pi [/spoiler] would transform these into weird things like <div class="math"> \sin(\frac{\tau}{8}) = \cos( \frac{\tau}{8} ) </div>
<div class="math"> e^{i \frac{\tau}{2}} = -1 </div> etc.

ps.: also i dont want to tech more stupid fractions just because of <span class="math"> \tau [/spoiler]

[Anonymous No.5225296]

>>5225283

>2012
>seeing 1
>not seeing it could be expressed as -i^2

Try harder.

[Anonymous No.5225298]

Pretty obvious which is the superior constant. I'm appalled that I never even heard of tau in high school. It was always called 2π.

[Anonymous No.5225303]

>>5225294
this
Also, <span class="math"> \tau [/spoiler] when defined in this way is simply a scalar of <span class="math"> \pi [/spoiler], so it's a moot argument. I don't see why it matters what we use, so long as the meaning of the expression is understood.

[Anonymous No.5225313]

>>5225294
Plug in tau into eulers formula and see what happens. Not tau over two, just tau.

[Anonymous No.5225320]

>>5225313

Euler's formula with Tau makes me hard.

[Anonymous No.5225333]

Did you know, real mathematicians don't argue over which to use?
Did you know, they actually get shit done?
Did you also know, that the only people who care are fucktard hipsters who don't know shit about shit and only have a high-school qualification or some Low Tier maths diploma.

[Anonymous No.5225339]

>>5225333
>mathematicians don't care about intuitiveness

[Anonymous No.5225346]

>>5225339
>implying Tau is intuitive
>implying my trips lie

[Anonymous No.5225355]

>>5225346
Prove tau is not intuitive.

[Anonymous No.5225356]

>>5225339
This isn't about intuitiveness from a teaching perspective.

The only people who care about this are people who perfectly understand the situation and want tau be the default used due to OCD autism.

[Anonymous No.5225375]

>>5225356
I wonder if some time in the distant past there were a group of people arguing for the simplification of fractions by default and another group who stubbornly clung to not simplifying because 4/16 is functionally the same as 1/4.

[Anonymous No.5225382]

tau is stupid because in equations where you just need pi, you would have to divide tau by two

imagine youre buying a candybar that costs 50 cents. you have two quarters, but you decide to use a dollar instead. it pisses the cashier off and makes no sense.

[Anonymous No.5225379]

This discussion is like watching 2 12yolds shouting whos dad gonna beat the other one. Pathetic

[Anonymous No.5225384]

>>5225382
Why not adopt both?

Use pi when pi is called for and tau when tau is called for.

[Anonymous No.5225386]

>>5225382
Well, in those cases, feel free to use pi. But you'll see that tau tends to be useful in more situations.

[Anonymous No.5225393]

>>5225382
Say you're buying something that costs a dollar. You have a dollar bill, but you pay with 2 fifty cent pieces instead. It makes no sense and pisses the cashier off.

Now imagine that you can have the same amount of money, either all in fifty cent pieces or in dollar bills. Most of the items in the store cost a dollar. Which option do you go with?

[Anonymous No.5225399]

Please take into consideration that the analogy with the store is fucking stupid

[Anonymous No.5225441]

[Anonymous No.5225453]

>>5225441

>5Tau/20
>Smaller than Tau/4

Wut?

[Anonymous No.5225481]

>>5225441
yeah fuck you, tau

[Anonymous No.5225570]

>>5225441

Are you shiiting me with that tau unit circle?

You expect me to believe that 30 degrees is equal to tau/10 radians?

And there's at least a half dozen more mistakes on it.

I can't believe that somebody took all the time to create that diagram and it's just so full of fail all over the place.

The only thing that diagram is good for is trolling. Man, if somebody spent all that time creating that diagram just to troll with it, then bravo -- what an amazing, awesome waste of time.

[Anonymous No.5225573]

Tau is wrong. Tau = 2*pi, but pi is two taus put together.

This is absurd. Tau must equal pi/2.

[Anonymous No.5225587]

tau is pretty cool. it makes sense, but i can deal with using pi.

[Anonymous No.5225589]

>>5225570

Yup. Trolling is a art.

[Anonymous No.5225610]

Tau is used as a dummy time variable already. If you really want to be the ones to rewrite every single electrical engineering textbook be my guest.

[Anonymous No.5225617]

>tau is intuitive hur

[Anonymous No.5225621]

>>5225239
>implying there is a right answer to this and people aren't just arguing over something completely arbitrary and trivial

It has to do with the preponderance of useful formulas that use 2π that would be slightly simplified by using tau instead.

It's more of an aesthetic/elegance thing.

>>5225294

You get: e^(i * tau) = 1
which is arguably even more elegant than: e^(i * pi) = -1
because when you use tau you get pure perfect unity, and it's not spoiled by a negative sign.

Again, it's more of an aesthetic thing.

[Anonymous No.5225623]

>>5225617
>trolling is an science

[Anonymous No.5225625]

>>5225610
>dummy time variable
Get rid of it, faggot. Lern 2 Barbour.

[Anonymous No.5225628]

>>5225617
>>5225441

I would have never guessed that this would be such a rich area for trolling.

[Anonymous No.5225630]

>>5225628
>>5225623
>he proved my beliefs wrong
>he's a TROLL
>TRAWLAN

[Anonymous No.5225632]

>>5225623
>>5225628

those are images of the of the area of the shape, not the angle. he isn't trolling.

[Anonymous No.5225649]

>>5225621
>>5225260

Consider the function e^(ix). We ask the following important question:

What is the smallest positive solution x so that e^(ix) is an integer?

It is π.

[Anonymous No.5225652]

>>5225573
Look at how much more elegant Euler's identity is this way:
e^tau*i = i

From there, it's obvious that:
e^tau*i*2 = -1
e^tau*i*3 = -i
e^tau*i*3 = 1
e^tau*i*4 = i

It rotates! Rather than the identity just being a bafflingly opaque equation, you can see immediately the truth underlying imaginary powers.

The TRUE tau Euler's identity shows the superiority of TRUE tau!

[Anonymous No.5225661]

>>5225649

Yes, there are a few formulas that are simpler with pi than with tau, like area = pi*r^2 and a few others.

But those formulas are in the minority.

Overall, the preponderance of formulas end up looking just a bit slicker with tau.

[Anonymous No.5225682]

>>5225652
>e^tau*i = i

Oh, god, please tell me that was just the result of a couple of typing mistakes, and not another troll attempt.

[Anonymous No.5225692]

>>5225652
>e^tau*i = i

thanks for the laugh
good night everybody

[Anonymous No.5225695]

>>5225682
Read what it's replying to.

Stop promoting the false tau! True tau is pi/2!

[Anonymous No.5225701]

>>5225652
>It rotates!

[Anonymous No.5225711]

>>5225695
>Read what it's replying to.

OMG you're right. Somebody wants tau to be pi/2 -- I didn't even notice that.

The trollage here is much, much stronger that I ever imagined.

Well, in retrospect, I guess it kinda makes sense that tau would trigger such a powerful shitstorm of trollage.

[OP No.5225738]

>>5225711
Yeah, I'll take this thread to a chan thats filled with less idiots.

[Anonymous No.5225995]

Actually to me, pi/2 (call it eta) makes better sense for being the circle constant than pi or tau. That said, pi is a good compromise between eta and tau.

[Anonymous No.5226033]

Anyone saying that tau makes euler's identity more beautiful is fucking retarded. You're supposed to add the -1 over so its e^i(pi) + 1 = 0

e, pi, and i are the 3 most important mathematical constants all having different origins in math while 0 and 1 are the additive and multiplicative identities respectively. The 3 operations addition, multiplication, and exponentiation each appear once as well.


L2BEAUTY

[Anonymous No.5226117]

Thing is: this is not Mathematics. Mathematically it doesn't matter and pi is alright.

This is a _pedagogical_ question, not a Mathematical question.

[Anonymous No.5226120]

>>5226033
>You're supposed to add the -1 over so its e^i(pi) + 1 = 0

Yeah, precisely. The actual result e^i(pi) = -1 is actually ugly so you got to repair it by arbitrarily adding 2 on each side. That's complete bullshit.

[Anonymous No.5226139]

>>5226120
>adding 2 to each side
>-1 + 2 = 0

[Anonymous No.5226151]

>>5225589
*an art

>>5225623
*a science

[Anonymous No.5226152]

What's wrong with all these people ITT using i instead of j for the imaginary unit?

e^( j * tau) = 1 + 0

[Anonymous No.5226165]

>>5226152
>engineering
pls go

[Anonymous No.5226168]

>>5226152
eew.

[Anonymous No.5226170]

>>5226152
i^2=-1
j^3=-1

[Anonymous No.5226182]

>>5226170
so j=-1?

[Anonymous No.5226194]

>>5225441
Am I the only one to realise that this is the 'tau unit circle' just in base 12?

[Anonymous No.5226197]

>>5226152
WE QUATERNIAN NOW