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/sci/ - Science & Math


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File: 63 KB, 600x600, tauchart.jpg [View same] [iqdb] [saucenao] [google]
2825040 No.2825040 [Reply] [Original]

<span class="math">\tau=\frac{C}{r}= 6.283185307179586... [/spoiler]
<span class="math">\pi=\frac{C}{d}= \frac{1}{2}\tau= 3.14159265358979... [/spoiler]
Euler's identity:
<span class="math">e^{i\cdot0} = 1[/spoiler]|<span class="math">e^{i\cdot\tau/4} = i[/spoiler]|<span class="math">e^{i\cdot\tau/2} = -1[/spoiler]|

<span class="math">e^{i\cdot3\tau/4} = -i[/spoiler]|<span class="math">e^{i\tau} = 1[/spoiler]
Integral over all space in polar coordinates:
<span class="math">\int_0^\tau \int_0^\infty f(r, \theta)\, r\, dr\, d\theta[/spoiler]
Normal distribution:
<span class="math">\frac{1}{\sqrt{\tau}\sigma}e^{-\frac{(x-\mu)^2}{2\sigma^2}}[/spoiler]
Fourier transform:
<span class="math">f(x) = \int_{-\infty}^\infty F(k)\, e^{i\tau kx}\,dk[/spoiler]
<span class="math">F(k) = \int_{-\infty}^\infty f(x)\, e^{-i\tau kx}\,dx[/spoiler]
Cauchy’s integral formula:
<span class="math">f(a) = \frac{1}{i\tau}\oint_\gamma\frac{f(z)}{z-a}\,dz[/spoiler]
n'th roots of unity:
<span class="math">e^{i\tau/n}[/spoiler]
The Riemann zeta function for positive even integers:
<span class="math">\zeta(2n) = \sum_{k=1}^\infty \frac{1}{k^{2n}} = \frac{B_n\tau^{2n}}{2(2n)!}\qquad n = 1, 2, 3,

\ldots[/spoiler]
<span class="math">{\rm You~savvy,~faggots?}[/spoiler]

>> No.2825044

Piss off troll.

>> No.2825052
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2825052

>>2825044

>> No.2825106
File: 2 KB, 239x239, eulertau.gif [View same] [iqdb] [saucenao] [google]
2825106

>> No.2825123
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2825123

>>2825106
eulers function looks much prettier now

>> No.2825160

>>2825123
but it's missing the 0 now :-(

>> No.2825172
File: 66 KB, 261x275, msp.png [View same] [iqdb] [saucenao] [google]
2825172

>>2825160
learn to <span class="math">e^{i\tau}+0=1[/spoiler] add 0, faggot

>> No.2825179

>>2825106
>>2825123

pi one: has most important constants(pi, i, 0, 1, e) and the 3 operators (plus, exponent, product)

new one: lacks 0, only has tau, i, 1 and only 2 operators (exponent, product)

>> No.2825193

What are you, 12, OP?

>> No.2825200

>>2825179
pi * 0 - e * 0 = 0 * tau^0 / 1

happy, retard?

>> No.2825211
File: 15 KB, 251x197, lolface.jpg [View same] [iqdb] [saucenao] [google]
2825211

>>2825200

>>2825200

>> No.2825245

<span class="math">\tau>\pi[/spoiler]
literally and figuratively.

>> No.2825271
File: 102 KB, 650x464, 1300799982456.jpg [View same] [iqdb] [saucenao] [google]
2825271

>>2825193
>What are you, 12, OP?
OP here. 15. fawku usawkawk kthxbai

>> No.2825278

>>2825200
<div class="math">e^{i\tau} - 1 = 0</div>

>> No.2825292

> implying people who can into math don't already consider 2pi as a single entity
What's the next step, putting the "!" before the number for a factorial because it's a function? Re-centering Gamma(x) so that it equals x! and not (x-1)! ?
Stop being aestheticfags and deal with the imperfect choices that were made in maths' history.

>> No.2825298

Yeah but the most important formula wouldn't be that good anymore. The area of a a circle would actually be (1/2)(tau)(r^2)

>> No.2825306
File: 821 KB, 2848x2134, Picture 2010-09-03 002.jpg [View same] [iqdb] [saucenao] [google]
2825306

>>2825292
lets all count in fractions instead of whole numbers while we're at it

>> No.2825317

>>2825292
>What's the next step, putting the "!" before the number for a factorial because it's a function?
A "!" before a number is already used for the subfactorial function.

>> No.2825347

>>2825298
<span class="math">\frac{1}{2}\tau r^{2}[/spoiler] is consistent with the area of a triangle <span class="math">\frac{1}{2}bh[/spoiler]

>> No.2825377
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2825377

>>2825298
>the most important formula

>> No.2825389

>>2825160
Zero sucks. Sorry, but we all know they moved the -1 over so it wouldn't have the - sign, not because they wanted a zero.

>> No.2825446
File: 23 KB, 300x169, story.paul.ryan.gi.jpg [View same] [iqdb] [saucenao] [google]
2825446

>> No.2825488

vihart did a video on this

>> No.2825529

>>2825271
>15
Seriously, I almost said, "what are you, 15?" Enjoy having nothing more important to worry about than one constant being superior to another. Vaya con Dios.

>> No.2825738

>>2825529
damn did i just get shown who's boss

>> No.2825757

The only problem with changing everything from Pi to Tau is that EVERYONE that graduates high school knows about Pi as used for the area of a circle. Have fun making them memorize
1/2Tau(r^2) instead of Pi(r^2)

Vihart is a hotty that looks a lot like anne hathaway.

>> No.2825776

while we're at it we should change the notation for charge, electron being negitive is confusing sometimes. from now on the electron has a charge of 1 yang as in yang and yang

>> No.2825797
File: 188 KB, 449x500, 5374553404_73a42754f0.jpg [View same] [iqdb] [saucenao] [google]
2825797

>>2825757

fuck yes

>> No.2825842

It doesn't change the interpretation of the results and it doesn't provide us with new insights.

And the last thing we need is to confuse American high schools students with another(?) formula. There's a reason some civilisations haven't joined the Metric revolution.

>> No.2826240

autistic math girl agrees
http://www.youtube.com/watch?v=jG7vhMMXagQ

>> No.2826257

>>2826240
Vihart doesn't have autism you stupidass.

>> No.2826301
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2826301

>> No.2826326

>>2825842
>And the last thing we need is to confuse American high schools students with another(?) formula. There's a reason some civilisations haven't joined the Metric revolution.
The last thing we need to do is to make high school students memorize formulas based on a fraction of the correct constant of circles. And the reason some civilizations haven't joined the Metric revolution is imbecility. f u b i c u r 1 2 b a nu-b

>> No.2826367
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2826367

>>2826326
American standards are the best. 1 foot = 12 inches, 3 feet in a yard, 5280 feet in a mile... simple shit man fuck metric

>> No.2826374

>>2826367
5 inches in one cock

>> No.2826400

so basically stick with pi if you like calling people retarded..

that's basically the only argument I hear coming from people supporting pi now that they've been defeated on every front/formula with the exception of <span class="math">\pi r^2[/spoiler].

>> No.2826413

it doesn't fucking matter.

>> No.2826468 [DELETED] 

>>2826413
so then you won't mind or be mad when <span class="math">\tau<span class="math"> takes over?

That aside though I personally can't relate to your ambivalence/apathy. Tau would help everyone communicate and learn trigonometry faster. At this point innumeracy is serious problem and growing, we should do everything we can to fight that problem to help everybody better think for themselves and solve more problems for themselves by making it easier for them to apply math where they previously couldn't.[/spoiler][/spoiler]

>> No.2826480

>>2826413
It'll help people who have a harder time learning math. Since you're personally ambivalent you should help us help other people.

>> No.2826901

>>2826400
<span class="math">\pi r^2[/spoiler] sounds nicer than <span class="math">\frac{1}{2}\tau r^2[/spoiler] but isn't particularly significant other than that

>> No.2826934

>>2825347

dude, circles aren't triangles

they aren't triangles at all

I don't even man


And on a different note, Euler's identity is perfect the way it is, so pi is right. There's no point even discussing.

except to throw 2 mathy parties with pie in them per year. I'm game for that.

>> No.2826944

<span class="math">\frac{\tau}{12},\ \frac{\tau}{8},\ \frac{\tau}{6},\ \frac{\tau}{4},\ \frac{\tau}{4},\ \frac{\tau}{3},\ \frac{3\tau}{8},\ \frac{5\tau}{12},\ \frac{\tau}{2},\ \frac{7\tau}{12},\ \frac{5\tau}{8},\ \frac{2\tau}{3},\ \frac{3\tau}{5},\ \frac{5\tau}{6},\ \frac{7\tau}{8},\ \frac{11\tau}{12},\ \tau[/spoiler] it just... makes too much sense....................

>> No.2826964
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2826964

>>2826934
>dude, circles aren't triangles
massive math comprehension failure detected
i'd go ahead and call you stupid but really i know you're just trollin' ;) ;)
(i'm winking to indicate that you are actually stupid)

>> No.2826965

>>2826934
in terms of points on a plain, yes, they are the same. Connect the dots then you'll be creating a lot of differentiation - get it?

>> No.2826970

>>2825278
the beauty of Euler's identity is that it makes the exponent negative, along with all the fun constants.

>>2825172
if that's what you guys want the identity to become, then I'm going to be an active proponent of pi.

>> No.2826979

>>2826480
I don't recall anyone having trouble with the 2pi aspect of radians. Who exactly is this easier for?

>> No.2826981

>>2826970
>if that's what you guys want the identity to become, then I'm going to be an active proponent of pi.
that's fine with me because you sound like the type of person that nobody wants to listen to anyway

>> No.2826984

>>2826979
people that didn't get it

>> No.2826993

>>2826970
I think you mean that's the beauty of imaginary numbers which could be achieved with various other expressions.

>> No.2827023

>>2826984
Meh, my experience was that they didn't get it because they were comfortable with degrees, and change is upsetting.

>>2826981
says the guy with OCD.

>> No.2827044

>>2827023

ACTUALLY: <span class="math">\\ \\ \\ \\ \\ \\ \\ \\ [/spoiler]you're right i do have OCD

>> No.2827092

this thread is full of trolls. i approve.

>> No.2827107

>>2825298
I think Fourier tranform and integral over all polar coordinates trump the circle's area in terms of tau vs pi simplicity

>> No.2827171

>>2827107
I don't know where everybody else is coming from but this more about pedagogy rather than practice.

>> No.2827417

>>2827107
>>2827171

yeah, but the pedagogy is used millions of times more in high school where few even learn about polar coordinates

>> No.2827462
File: 2 KB, 250x250, tau.gif [View same] [iqdb] [saucenao] [google]
2827462

>> No.2828269
File: 138 KB, 720x228, pi unraveled.gif [View same] [iqdb] [saucenao] [google]
2828269

>> No.2828414

although pi is the ratio of a circle's circumference to it's diameter....it's weird to look at something like the millionth digit...what does that value represent...it's can't be any sort of measurement...so what does it mean?

like... is it giving directions to some 'eat at joe's' diner in the cosmos?

>> No.2828424
File: 138 KB, 600x599, Tau_empire.jpg [View same] [iqdb] [saucenao] [google]
2828424

>> No.2829419

>>2828269
wow, that animated gif is highly inaccurate. it makes a full turn and then states that it is pi. in reality it should have state pi at half a turn and then tau after the full turn.

>> No.2829440

>>2829419
Um... look at it, jackass. What part of it is wrong? Where do they use a circle or line that's the wrong size?

Pi is the ratio of the diameter to the circumference. They illustrated that very nicely.

The point of the "pi is wrong!" meme is that it's the RADIUS that is usually more useful, since the main use of circles in geometry and everything that derives from geometry is that they describe the set of points which are equally distant from one central point, and that distance is the radius. The maximum distance between members of that set is rarely directly significant.

>> No.2829462

>>2826400

Even pir^2 can be defeated if its derived.

>> No.2829477

>>2829462

*it's

>> No.2829729
File: 70 KB, 750x600, DoubleFacePalm.jpg [View same] [iqdb] [saucenao] [google]
2829729

>>2829440
>Um... look at it, jackass. What part of it is wrong? Where do they use a circle or line that's the wrong size?
lol tell me to look at it when clearly you lack the intelligence to do so yourself. Um... look again, jackass

>Pi is the ratio of the diameter to the circumference. They illustrated that very nicely.
wrong. they illustrated the ratio of the radius to the circumference but marked it as pi instead. epic fail on both your and the author's part. further reason to drop pi and adopt tau: so the feeble-minded (such as yourself) don't wind up confused

>The point of the "pi is wrong!" meme is that it's the RADIUS that is usually more useful, since the main use of circles in geometry and everything that derives from geometry is that they describe the set of points which are equally distant from one central point, and that distance is the radius. The maximum distance between members of that set is rarely directly significant.
tl;dr

>> No.2829769

>>2829419
No it's right, Pi is the amount of times the diameter fits around the circumference, making it 3.14.....

>> No.2829774

>>2829729

Trololololol

>> No.2829781

>>2829729
I'd take another look if I were you. A circle with *diameter* 1 has circumference pi. Facepalm indeed.

>> No.2829787

ITT: Stupid people talking out their asses about stuff they know nothing about and one successful troll

>> No.2829788

<div class="math">\nabla \cdot D = 4 \pi \rho</div>
<div class="math">\nabla \cdot D = 2 \tau \rho</div>

I think I'll stay with the pi version, thank you.

>> No.2829861

>>2829781
>I'd take another look if I were you. A circle with *diameter* 1 has circumference pi. Facepalm indeed.
that's right, you're counting in halves instead of wholes. graph the function for a circle and you're not going to get a circle with a diameter of one. stop scaling shit into halves and pretending that they're wholes, dumbass

>> No.2829868

gee lets see, which one makes most sense?
<span class="math">x^2+y^2=1[/spoiler] and use tau or <span class="math">x^2+y^2=0.5[/spoiler] and use pi
should we count in halves or wholes gosh i can't figure it out

>> No.2830004

ITT: Everybody is getting trolled.

Pi and Tau are interchangeable. Halves or wholes, they both work fucking fine.

>> No.2830039

>>2830004

So does 9.38462pi, but it doesn't make it convenient.

>> No.2830137

1.570796327 is the true constant of a circle.

>> No.2830197

>>2830137
YES A QUARTER TURN IS EXACTLY WHAT WE'VE SHOULD'VE BEEN USING ALL ALONG

>> No.2830202

>>2830137
So.....pi/2 or Tau/2?

How does this make sense?

>> No.2830862

>>2830202
it doesn't make sense that's the point. setting the fundamental constant of a circle to represent half the circle or a quarter of the circle doesn't make any sense.

>> No.2830910
File: 2.13 MB, 400x282, dealwithit.gif [View same] [iqdb] [saucenao] [google]
2830910

This is the function for a semicircle:
f(x)=(1-x^2)^(1/2)

There is no function for a circle because it doesn't pass the vertical line test.

Functions are the most important and useful category of relations.

Pi is the ratio of the radius of the semicircle function to the length of the arc it generates.

Therefore pi is correct, and tau is wrong.

Also: sine has a domain of (0,pi) and pi radians is the largest angle. See pic.

>> No.2830986
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2830986

>>2830910
>There is no function for a circle because it doesn't pass the vertical line test.
>Functions are the most important and useful category of relations.
LOL substitute pedantry for an argument - nice job brah

>Pi is the ratio of the radius of the semicircle function to the length of the arc it generates.
>Therefore pi is correct, and tau is wrong.
nice non-sequitur you've got there champ

>Also: sine has a domain of (0,pi) and pi radians is the largest angle. See pic.
and your lack of understanding of middle school mathematics is finally illuminated.
i'd correct your egregious error but I'll just leave it at "lrn2domain faggot" - see pic

>> No.2831088
File: 11 KB, 300x199, 19012_Pi_Day_Pie.jpg [View same] [iqdb] [saucenao] [google]
2831088

WRONG.

>> No.2831152
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2831152

>>2825040

>> No.2831693

<span class="math"> [/spoiler]

>> No.2831724

<span class="math">\rm [/spoiler]

>> No.2831812

the reduced planck constant <span class="math">\hbar = \frac{h}{\tau}[/spoiler]

>> No.2831835
File: 440 B, 66x41, 193d2e97a5b0a6da8ec1ed1105a2d8e5.png [View same] [iqdb] [saucenao] [google]
2831835

>>2831812
No. <span class="math">\hbar = \frac{h}{2\pi}[/spoiler]

>> No.2831894

When the fuck did self-proclaimed mathematicians decide they didn't have enough to argue about?

>> No.2831896

<span class="math"> [/spoiler]

>> No.2832193

<span class="math"> [/spoiler]

>> No.2832246

<span class="math"> \rm [/spoiler]

>> No.2832290

<span class="math">\rm{}[/spoiler]

>> No.2832312

<span class="math">\rm{}\rm{}[/spoiler]

>> No.2832329
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2832329

OMG a real math convo on /Sci/ awesome I was starting to think this was just for trolling with religious debate.

>> No.2832374

<span class="math">\rm{}\rm[/spoiler]

>> No.2832568

<span class="math"> \rm{}\rm\rm[/spoiler]

>> No.2832720

<span class="math">\rm\rm{}\rm[/spoiler]

>> No.2832777

<span class="math">\ \ \ \ [/spoiler]

>> No.2833270

<span class="math">\rm{}{}[/spoiler]

>> No.2833315

<span class="math">\ \ \ [/spoiler]

>> No.2833379

>>2830137
oh dear god I lawled....

Can we call this constant phi?


and to op if your still here or see this again....
>pi is warawng
you are the type of person that would spell that completely wrong, you also thing pi is wrong,

for the tau people, when was the last time you cared how a circle was defined?

>> No.2833386
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2833386

>>2825040

>> No.2833400

>>2833386
In short he defines pi and tau, then goes over common formulas trying to show its 'prettier' so therefore better, despite the fact its arbitrary...

>> No.2833411

In the beginning, there was nothing. Then the great Tau expanded the universe, and in His laws, declared the existence of math along with the Great Circle and His constant, Tau. Tau was a full circle, and with it came great unity among the constants and the equations. During the Happy Time, it was known that <span class="math">e^{i\tau} = 1[/spoiler]. It was a peaceful time that lasted many millenia, as Tau kept great peace among the Constants.

Tau wanted to spread his perfection among intellectual minds , and so he said "Let there be bearers of knowledge, to bathe in the perfection that is Tau." Under His word, humans were created, capable of understanding Mathematics and thus his Greatness.

The first prophet was Archimedes. Nobody understood the Great Circle more than him. However, as he spread the word of Circle, the devious Pi deceived him. Pi whispered to him, "<span class="math">A=\pi r^{2}[/spoiler]. Despite the importance of Tau, Pi tricked Mankind into the evil circle constant. Tau screamed from his throne, "No, <span class="math">A=\frac{1}{2}\tau r^{2}[/spoiler]!" But alas, Mankind was deaf to the wails of the Great one, tricked by the fake glitter of Pi.

For two thousand years, Pi continued to deceive Mankind. Men spent their entire lives reciting his digits in his honor, yet they wasted their breath. They were worshiping the Evil One! But there is still hope for Mankind; a new prophet has emerged from humanity, one with a far greater understanding of the Great Circle. Michael Hartl, the first prophet of the great Tau, has spread his word far across the land to listening ears, singing of the Great Tau! For Tau is a much more perfect circle constant than Pi, and must be honored by those capable of understanding the Great Circle.

Thus the Church of Tau was born. Spread the good news, far and wide! Tau is the superior Circle Constant!

>> No.2833618
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2833618

>>2833379
OP here. didn't read your post sry
so i'm still waiting for somebody to make a valid argument

>> No.2833665

>>2833618
It's obvious you haven't read much were all saying its rather arbitrary, and that its easier to let it be...
pi in most applications is used as a constant, so who cares about the coefficient?

and i ask again, when was the last time you actually cared in a formula how a circle was defined

>> No.2833748
File: 10 KB, 510x259, taucirclekthx.gif [View same] [iqdb] [saucenao] [google]
2833748

>>2833665
your rhetorical question has earned this rhetorical answer. in other news:
circumference of a circle:<span class="math">\tau r[/spoiler]
area of a circle:<span class="math">\frac{1}{2}\tau r^2[/spoiler]
surface area of a sphere:<span class="math">2\tau r^2[/spoiler]
circumference of a circle:<span class="math">\frac{2}{3}\tau r^3[/spoiler]

>> No.2833830

>>2833400
>then goes over common formulas trying to show its 'prettier' so therefore better, despite the fact its arbitrary...
it's pretty cool how you put quotes around 'prettier' as if that had anything to do with the argument. enjoy your ironic assertion of tau being an arbitrary constant while living the rest of your life using halves instead of wholes in all radius-related endeavors

>> No.2834039

<span class="math"> [/spoiler]

>> No.2834092

>ITT: people read about some faggot trying to change math formulas because he likes tau, agree with him to be edgy

>> No.2834192

http://www.math.utah.edu/%7Epalais/pi.pdf

How has nobody posted this yet?

>> No.2835742

>>2834192
pi is better because i like pi are square LOLOLOL end of argument

>> No.2837842
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2837842

>> No.2837857

<span class="math"> [/spoiler]
<span class="math">{DERP}^{DERP}^{DERP}^{DERP}^{DERP}^{DERP}^{DERP}[/spoiler]
{LOL}_{LOL}_{LOL}_{LOL}_{LOL}_{LOL}_{LOL}

>> No.2837860
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2837860

>>2837857
FAILURE

>> No.2838862

<span class="math"> [/spoiler]

>> No.2838887

>>2837842
Where do I buy these?