>pi
>irrational
>ratio
Τ VS π which is better and why?
Tyler Lopez
Daniel Ross
pi/2 is best. It's the fundamental right angle.
Colton Green
And?
On a related note, how do you define sin(x)?
f''+f=0, f'(0)=1, f(0)=0?
Brody Anderson
Jace Evans
>implying real numbers even exist
Oliver Martin
[math] \nexists f: \mathbb{Q} \to \mathbb{Q}; f''+f=0, f'(0) = 1, f(0) = 0 [/math] tho
Nathan Baker
>>>/reddit/
Brandon Walker
if you only use pi, [math] 2\pi [/math] is easy to write and looks relatively good on a single line
but if you only use tau, and you need pi, you get [math] \displaystyle \frac{\tau}{2} [/math]
i guess you could use them both, but that just seems silly to me
Adam Cruz
>Whenever I think of tau, I think of a length of measurement.
I think of the particle or of its neutrino, pi isn't used to define anything else so it it easier to know what one is talking about \.
Kayden Hughes
I have thought about this long and hard, and I use [math]\pi[/math] everyday without trouble, but I really think that the circle constant should be 2*pi=1 turn (using [math]tau[/math] is retarded because it's used everywhere; the "three legged pi" is better but not standard).
There are only two arguments I've heard for [math]pi[/math]:
1) It's the traditional constant.
2) It is the angle in Euler's formula that first fully returns to the real axis.
The argument for turn is:
1) It's easier to interpret the angle.
One could say that it would be confusing if the angle and the length of the arc subtended on the unit circle where the same number, but that's why I attach units to everything when working.
Altogether, I am the type of person who says buck convention if the alternative is more attractive. The argument that [math]\pi[/math] is in wide spread use is a bad one in my opinion. Turn being easier to think in is a very good argument in my opinion. And for those people like who say it doesn't matter, I think people who use [math]\pi[/math] on a regular basis would be lying if they said they didn't have to sometimes juggle fractions to get a mental picture of where on the unit circle they are.
You absolutely can't ignore the fact that people know what you are talking about when you say [math]\pi[/math]. Still, it's tempting to work privately in turns.