Tau (Pseudo-Wiki)

τ\large\tau is defined as 2π2\pi and if you don't know what π\pi is, its not the sweet treat, I can assure you.

π\pi is defined as the ratio of the circumference of a circle to its diameter. This means - π=circumferencediameter\pi = \dfrac{\text{circumference}}{\text{diameter}}

\(\pi\) Visualized :) π\pi Visualized :)

Now, back to τ\large\tau, it is 2π2\pi. This means - τ=2×circumferencediameter or circumferenceradius\tau = \dfrac{2 \times \text{circumference}}{\text{diameter}} \ \text{or} \ \dfrac{\text{circumference}}{\text{radius}}

The first 1010 digits of π\pi(sometimes written as 'pi' and pronounced 'pie') go like this - 3.1415926533.141592653 \ldots

And the first 1010 digits of τ\large\tau(sometimes written as 'tau' and pronounced 'tau') are twice that - 6.2831853076.283185307 \ldots

Since τ\large\tau is 2×2 \times an irrational number(π\pi), it is also irrational.

But here comes the big question, why waste another Greek Letter, to define it as 22 times an already existing number?


\hspace{1px}

More about τ\large\tau

τ\large\tau is the 1919th letter of the Greek Alphabeet and has a value of 300300 in Greek Numerals.

Hi, I'm Tau and this is Capital Tau. I am \(2\pi\) even though I look  like half of \(\pi\). Capital Tau looks like T, but don't tell him that, he has very sensitive feelings :) Hi, I'm Tau and this is Capital Tau. I am 2π2\pi even though I look like half of π\pi. Capital Tau looks like T, but don't tell him that, he has very sensitive feelings :)

The Greek Letter is used in many aspects of Math and Science, some of which are listed below -

  • Used to represent the Golden ratio (1.618...), although ϕ\phi(phi) is more common.

  • Represents Divisor function in number theory, also denoted d\text{d} or σ0\sigma_{0}.

  • Tau is an elementary particle in particle physics.

  • Tau in astronomy is a measure of optical depth, or how much sunlight cannot penetrate the atmosphere.

  • It is the symbol for tortuosity in hydro-geology.

\hspace{1px}

Advantages of τ\large\tau

π\pi is found in many of the famous formula's and identity. But sometimes, π\pi is preceded by a 22, and we all know by now, that 2π=τ2\pi = \large\tau.

Here are the well known formula's where 2π2\pi can be replaced with τ\large\tau, making the formula simpler and more elegant -

Integral over space in polar coordinates -

  • 2π00f(r,θ) r dr dθ\displaystyle\int_{\color{#D61F06}{2\pi}}^{0} \int_{\infty}^{0} f(r,θ) \ r \ dr \ dθ

Gaussian (normal) Distribution -

  • 12πσe(xμ)22σ2\dfrac{1}{\sqrt{\color{#D61F06}{2\pi}}\sigma} \text{e}^{\dfrac{(x-\mu)^{2}}{2 \sigma^{2}}}

NthN^{th} roots of unity -

A picture of Tau celebrating its many advantages A picture of Tau celebrating its many advantages

  • zn=1z=e2πinz^{n} = 1 ⇒ z = e^{\dfrac{\color{#D61F06}{2\pi} \color{#333333}i}{n}}

Cauchy's Integral Formula -

  • f(a)=12πiγf(z)zadzf(a) = \dfrac{1}{\color{#D61F06}{2\pi} \color{#333333} i} \displaystyle\oint_{\gamma} \dfrac{f(z)}{z-a} dz

Fourier Transform -

  • f(x)=F(k)e2πikxdkf(x) = \displaystyle\int_{- \infty}^{\infty} F(k) e^{\color{#D61F06}{2\pi} \color{#333333} i k x} dk

  • F(k)=f(x)e2πikxdxF(k) = \displaystyle\int_{- \infty}^{\infty} f(x) e^{- \color{#D61F06}{2\pi} \color{#333333} i k x} dx

Riemann Zeta Function -

  • ς(2n)=k=112kn          =B2n2(2n)!(2π)2n, n=1,2,3,......\varsigma (2n) = \displaystyle\sum_{k = 1}^{\infty} \dfrac{1}{2^{kn}} \\ \\ \ \text{ } \ \ \ \ \ \ \ \ = \dfrac{|B_{2n}|}{2(2n)!} (\color{#D61F06}{2π} \color{#333333})^{2n}, \text{ } n = 1,2,3,......

The Kronecker limit formulas -

  • E(τ,s)=πs1+2π(γlog(2)log(yη(τ)2))+O(s1)E(\tau ,s)={\pi \over s-1}+\color{#D61F06} 2\pi \color{#333333} (\gamma -\log(2)-\log({\sqrt {y}}|\eta (\tau )|^{2}))+O(s-1)

  • Eu,v(τ,1)=2πlogf(uvτ;τ)qv2/2E_{{u,v}}(\tau ,1)=-\color{#D61F06} 2\pi \color{#333333} \log |f(u-v\tau ;\tau )q^{{v^{2}/2}}|

I have highlighted the 2π2\pi's in red. If replaced with τ\large\tau, these formula's could be simpler. This is only one of the advantages of τ\large\tau.

\hspace{1px}

Another advantage that is very useful is in Trigonometry.

When dealing with Unit Circles in Trigonometry, we usually use Radians as our angle measure. As already stated, π\pi radians is a 180180^{\circ} while τ\large\tau radians is a full turn or 360360^{\circ}. Due to this, using τ\large\tau is much easier.

When we use π\pi, 112\dfrac{1}{12} of the unit circle is actually π6\dfrac{\pi}{6} Radians, as shown in the picture below. This is cause for major confusion.

But if we use τ\large\tau all our problems vanish, and everything makes sense again. 112\dfrac{1}{12} of the unit circle is τ12\dfrac{\large\tau}{\normalsize 12} radians, as shown in the picture below.

This really shows that τ\large\tau might actually be better to use than π\pi. Yet, we all have our weaknesses, so let's look at the Disadvantages of τ\large\tau next.

\hspace{1px}

Representing τ\large\tau using Limits

  • τ=32limn(n+1)k=1nk2(2k+1)2\large\tau \normalsize = 32 \displaystyle\lim_{n\to\infty} (n+1) \prod_{k=1}^{n} \dfrac{k^{2}}{(2k + 1)^{2}}

Comment more representations that I can add here!\large \text{Comment more representations that I can add here!}

\hspace{1px}

τ\large\tau(Tau) vs π\pi(Pi) Conflict

The Pi vs Tau Conflict is a very long conflict between people who love π\pi and people who love τ\large\tau.

It is a battle to find which of the 22 irrational numbers is better and makes our calculations easier.

An illustration of the epic battle :) An illustration of the epic battle :)

The basic arguments given by both teams were as follows -

\hspace{1px}

Team Tau against π\large \underline{\text{Team Tau against }\pi}

π=CircumferenceDiameter\pi = \dfrac{\text{Circumference}}{\text{Diameter}} while τ=CircumferenceRadius\large\tau = \normalsize \dfrac{\text{Circumference}}{\text{Radius}}

A circle is usually defined by its radius and the radius is something that mathematicians are generally more interested in than the diameter.

The formula for a circle's circumference is also simplified with τ\large\tau

C=τrC = \large\tau\normalsize r

τ\large \tau Radians is equal to 360360^{\circ}, while π\pi Radians is equal to 180180^{\circ}. This value of Pi makes it a bit confusing in dealing with Trigonometry using Unit Circles, but Tau makes it look like easy as pie (pun intended)

\hspace{1px}

Team Pi against τ\large \underline{\text{Team Pi against }\large \tau}

Pi has been around since a long time. The number Tau also has its flaws. For example - The formula for the area of a circle is made even more complex by using τ\large\tau

A=πr2=τr22A = \pi r^{2} = \dfrac{\large\tau\normalsize r^{2}}{2}

Also, redefining the circle constant differently and replacing it will destroy the beautiful Euler Identity - eiπ+1=0e^{i\pi} + 1 = 0

\hspace{1px}

This conflict is as long as the amount of digits in Pi and Tau. I will not take sides and either number isn't necessarily better. This is only a fragment of the conflict. This conflict has been around for a few years and hasn't officially ended yet.

\hspace{1px}

External Links

\hspace{1px}

Related Wikis on Brilliant

\hspace{1px}

Try some problems related to π\pi and τ\large \tau

\hspace{1px}

More Digits

These are the first 100100 digits of Tau, but if you want more, go here -

6.28318530717958647692528676655900576839433879875021164194988918461563281257241799725606965068423413596.2831853071795864769252867665590057683943387987502116419498891846156328125724179972560696506842341359 \ldots

\hspace{1px}

Rate this Wiki







Image Credits - Thanks to https://www.wikipedia.org/, for the 'Visualising Pi' image, the 'capital and small tau' image and the 'Pi vs Tau' image and to https://tauday.com/tau-manifesto for the Unit Circle images in 'Advantages of Tau'.

Cite as : Tau, Brilliant.org. Retrieved from https://brilliant.org/discussions/thread/tau/

Note by A Former Brilliant Member
10 months, 2 weeks ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Sort by:

Top Newest

so tau is double the value of pi even though the symbol is half of pi interesting

NSCS 747 - 10 months, 2 weeks ago

Log in to reply

Yes, a fun fact @Nathan Soliman :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

what do we use tau to calculate

NSCS 747 - 10 months, 2 weeks ago

Log in to reply

@Nscs 747 Trigonometry graphs and functions that require unit circle method, because tau radians is 360 degrees :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

EXAMPLE\hspace{-50px}\color{grey}\\[-22px]\tiny\textsf{EXAMPLE}
Sample Text

A Former Brilliant Member - 10 months, 1 week ago

Log in to reply

How? Please comment this in Latex Club @Páll Márton

A Former Brilliant Member - 10 months, 1 week ago

Log in to reply

Can you please update?

Lâm Lê - 9 months, 1 week ago

Log in to reply

I've completed Advantages of Tau. Only Disadvantages left. It'll be done by next week :)

A Former Brilliant Member - 9 months, 1 week ago

Log in to reply

No offence, but when I first read your reply, it said you replied 3 weeks, 3 days ago.>:)

Lâm Lê - 8 months, 2 weeks ago

Log in to reply

@Lâm Lê Yes, I am not the most punctual of people, coz i'm super busy. I know it sounds like a lame excuse, but I am focusing a bit more on my programming, so I am really busy. I'm not sure when this will be complete, mostly because I keep adding new things and get new ideas. Hopefully by october end, but I will make no promises.

A Former Brilliant Member - 8 months, 2 weeks ago

Log in to reply

Also, redefining the circle constant differently and replacing it will destroy the beautiful Euler Identity e^(pi * i) +1 = 0

Actually, with tau, it becomes even better, but yea

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

its the argument the pi-ers make. they're stupid lol

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

Agreed 🥂

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@Nikolas Кraj You mean

'Agreed 🥂'

😁

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Ah Italic, I forgot my commenting standards. Agreed 🥂

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@Nikolas Кraj lol i meant the spelling :P

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member ups

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@Nikolas Кraj I'm starting to think you're making errors on purpose lol

A Former Brilliant Member - 5 months, 1 week ago

Log in to reply

@A Former Brilliant Member Heh probably; mostly it is that I type fast.

What conclusion does that idea lead you to though?

Nikolas Кraj - 5 months, 1 week ago

Log in to reply

@Nikolas Кraj It sounds funny when it's miss speweld

lawl

Frisk Dreemurr - 5 months, 1 week ago

Log in to reply

@Frisk Dreemurr lmao yez itzz doezz

A Former Brilliant Member - 5 months, 1 week ago

Log in to reply

@Nikolas Кraj You're saving time by typing fast coz you have something to do? Or someone...🤣

A Former Brilliant Member - 5 months, 1 week ago

Log in to reply

@A Former Brilliant Member Someone? to do? I wouldn't be here at all 😂 What did you think I would do first? To log in in her computer? 😂😂

Damn where does your mind go?

Nikolas Кraj - 5 months, 1 week ago

Log in to reply

@Nikolas Кraj haha a lot of places lol

A Former Brilliant Member - 5 months, 1 week ago

Log in to reply

@Frisk Dreemurr - I'm making a wiki for fun :)

How is it?

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

Nice @Percy Jackson, I never noticed any note on the debate of Tau and Pi until today :)

Frisk Dreemurr - 10 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr Thanks, the debate is actually a pretty big thing :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member @Frisk Dreemurr - I added a rating system LOL :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member does it have a number count

NSCS 747 - 10 months, 2 weeks ago

Log in to reply

@Nscs 747 What? @Nathan Soliman

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member the rating system

NSCS 747 - 10 months, 2 weeks ago

Log in to reply

@Nscs 747 No, its just for fun :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member do you want to hear something stanley hudson said?

NSCS 747 - 10 months, 2 weeks ago

Log in to reply

FEEDBACK\hspace{-50px}\color{grey}\\[-22px]\tiny\textsf{FEEDBACK}
wow, you put a lot of work into that.
and i love the comments in the "rating" section

num IC - 5 months, 2 weeks ago

Log in to reply

Thanks! I really need to take some time to complete this, but life isn't kind to you after 9th grade lol

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Wait, you are in the ninth grade? You said me you were sixteen lol

Frisk Dreemurr - 5 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr Plus, I read your "discussion" in the answer to life, the universe, and everything

And to sum it all up

eww

Frisk Dreemurr - 5 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr when you are married long enough, it would be more like 96 ;-)

num IC - 5 months, 2 weeks ago

Log in to reply

@Num Ic Wait, what?

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member the idea is just lying back to back ;)

num IC - 5 months, 2 weeks ago

Log in to reply

@Num Ic As in during labour? Why am I so oblivious to why you guys are laughing?

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@Num Ic No, sorry, I had to laugh

It isn't good, but I am still laughing

Frisk Dreemurr - 5 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr ;-) ;-) ;-) ;-) ;-) ;-) ;-)
yeah, very sad

num IC - 5 months, 2 weeks ago

Log in to reply

@Num Ic 😂😂

I feel bad for anyone who experienced a divorce, even though I'm still laughing.

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@Nikolas Кraj I still don't get what he means...

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Couples when their "love chemistry" fades down, are not interested in doing that, they turn each other their backs.

As once a (smartest mthfker in the universe) man said: " Love is just chemistry that couples animals into breeding, it reaches a peak then fades away ..."

I heard he beated Zeus singlehandedly. The man's a certified god.

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@Nikolas Кraj 😂😂😂 (What did he beat Zeus at? Impregnating women? lmao)

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member boyfriend: hey meet you in chemistry class later

girlfriend: wait we dont have chemistry

Boyfriend: exactly

NSCS 747 - 5 months, 2 weeks ago

Log in to reply

@Nscs 747 lol that's a savage break-up line 🤣🤣🤣

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member its from this video https://www.youtube.com/watch?v=Rolfwv1djjI

NSCS 747 - 5 months, 2 weeks ago

Log in to reply

@Nscs 747 ya I've watched that one. nigahiga is one of the best yt comedy channels lol

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Here is a funny scene from the office

Michael: this morning Meredith was ran over. I took her to the hospital and the doctors did everything they could and... she is going to be ok

Stanley: what is wrong with you

Another scene

Michael: during the weekend my father had a stroke

Of luck

NSCS 747 - 5 months, 2 weeks ago

Log in to reply

@Nscs 747 ...that is funny, but i don't get the first part...

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@Nscs 747 girlfriend go:

oof

Frisk Dreemurr - 5 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr yea well Ryan Higa has a peculiar 'talent' in making girls go oof lol

Erica : Why did you call me to the gym if we're just gonna sit like this?

Ryan : Because we're not working out.

'The Lazy Breakup'
--Ryan Higa 2015--

lmao

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Cue the music

NSCS 747 - 5 months, 2 weeks ago

Log in to reply

@Nscs 747 lol and the smiling ryan moving backwards on the treadmill lol

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Boyfriend:could you not stand in my right?

Girlfriend: Why not

Boyfriend: Because I realised you are not right for me and that it’s time I left you

NSCS 747 - 5 months, 2 weeks ago

Log in to reply

@Nscs 747 lol the face he makes at the end of each joke is hilarious lmao

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@Nikolas Кraj Love all the jokes here 😂

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@Nikolas Кraj lol you should watch nigahiga, its amazing!

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr Girls are so easily 'ewwed' by things...

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr I am sixteen. Life just gets harder from ninth is what I am saying.

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Oh, okay

What grade are you in now?

Frisk Dreemurr - 5 months, 2 weeks ago

Log in to reply

@Frisk Dreemurr Figure it out yourself, I told you my age :P

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member when they told us in school that we should enjoy our time bcs life will never again be that easy, i didn't believe it. but they were completely right :(

num IC - 5 months, 2 weeks ago

Log in to reply

@Num Ic true that :(

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member on one hand childhood sucks cus i wanna be free and do whatever i want adulthood sucks because i am free but i have to start paying for stuff because my 18 year free trial of life has expired

NSCS 747 - 5 months, 2 weeks ago

Log in to reply

@Nscs 747 lmao

A Former Brilliant Member - 5 months, 2 weeks ago

Log in to reply

@Num Ic Though you are limited by your parents to do what you want to do. Everything has its ups and downs :|

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member tau and pi is just a matter of definition, but the values are the same in every country.
what troubles me more is that a billion has different meanings in different countries.

num IC - 5 months, 2 weeks ago

Log in to reply

@Páll Márton - I was looking at your formatting guide while making this, its really useful, thanks :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

BTW go to my feed to see my latest note on buttons. You can add that to your guide @Páll Márton

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

@Yajat Shamji - Look at this :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

I really like it. However, I am impartial to both π\pi and τ\tau so I am neutral in this war/conflict.

Yajat Shamji - 10 months, 2 weeks ago

Log in to reply

I wrote that I'm neutral but I'm actually a Tauist LOL. Glad you like it :)

A Former Brilliant Member - 10 months, 2 weeks ago

Log in to reply

@A Former Brilliant Member Tau-ist here too 8-)

Nikolas Кraj - 5 months, 2 weeks ago

Log in to reply

@Yajat Shamji - There is an astronomy point in 'More About Tau' :)

A Former Brilliant Member - 10 months, 1 week ago

Log in to reply

Thanks.

P.S. 55 stars!

P.S.S. I challenge you to find geometric sums and limits involving π\pi that result in τ\tau and geometric sums and limits involving τ\tau that result in π\pi.

Yajat Shamji - 10 months, 1 week ago

Log in to reply

@Yajat Shamji I'll try :) @Yajat Shamji

P.S Thanks you for 5 stars!

A Former Brilliant Member - 10 months, 1 week ago

Log in to reply

@Yajat Shamji Done @Yajat Shamji, I added a few integral formula's that I could think of. I still don't have a limit though, I'll work on that :)

A Former Brilliant Member - 9 months, 1 week ago

Log in to reply

@A Former Brilliant Member You know I'll make one...

Yajat Shamji - 9 months, 1 week ago

Log in to reply

@A Former Brilliant Member I found some (but the result's π\pi so you'll need to multiply the entire limit by 22):

Yajat Shamji - 9 months, 1 week ago

Log in to reply

@Yajat Shamji I need something where I don't need to multiply actually. There are many Pi limits - Pi limits

A Former Brilliant Member - 9 months, 1 week ago

Log in to reply

@Yajat Shamji @Yajat Shamji - I added a limit formula that doesn't need me to multiply the limit by 2 and do some crazy math, but I don't know its name.

A Former Brilliant Member - 9 months, 1 week ago

Log in to reply

no, the beautiful Euler identity would not disappear, since e^i tau - 1 = 0 (but I am a pie fan)

I Love Brilliant - 9 months, 1 week ago

Log in to reply

Its what they argue, its the truth. It may not be correct, but its an arguement

A Former Brilliant Member - 9 months, 1 week ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...