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Re:A trick to eliminate 2π (sometimes) by H8crilA on Wednesday June 28, 2023 @01:11PM (#36509415)
Also, π is the wrong constant. The very definition is awkward: the ratio of two radiuses to the circumference. How about one radius?

It is much more natural to work with 2π. Some people use the letter τ (Tau) to denote 2π, and it simplifies almost all naturally occurring expressions. For example, what is more elegant?

e^(π*i) = -1

e^(τ*i) = 1

Re:A trick to eliminate 2π (sometimes) by JdeBP on Wednesday June 28, 2023 @01:24PM (#36509618)
Lots of focus on the Greek letters, at the expense of an important Latin one, there. (-:
Re:A trick to eliminate 2π (sometimes) by tgv on Wednesday June 28, 2023 @01:20PM (#36509562)
τ = 0, got it.
Re:A trick to eliminate 2π (sometimes) by H8crilA on Wednesday June 28, 2023 @01:44PM (#36509921)
Well, I can say π := 3π, and -1 still works. The point is exp() is that 2π*i periodic.
Re:A trick to eliminate 2π (sometimes) by tgv on Wednesday June 28, 2023 @04:22PM (#36512046)
The original post missed the i...
Re:A trick to eliminate 2π (sometimes) by H8crilA on Thursday June 29, 2023 @10:44AM (#36521062)
No, even with i one of the solutions is \tau = 0
Re:A trick to eliminate 2π (sometimes) by bobbylarrybobby on Wednesday June 28, 2023 @01:23PM (#36509592)
e^pi + 1 = 0, of course
Re:A trick to eliminate 2π (sometimes) by bauble on Wednesday June 28, 2023 @02:25PM (#36510487)
e^i*tau = 1 is pretty elegant, too.
Re:A trick to eliminate 2π (sometimes) by dTal on Wednesday June 28, 2023 @10:07PM (#36515477)
e^pi + 1 = 24.14069263...
Re:A trick to eliminate 2π (sometimes) by floatrock on Wednesday June 28, 2023 @02:21PM (#36510430)
> t simplifies almost all naturally occurring expressions

basically the point of the Tau Manifesto: https://tauday.com/tau-manifesto

And would ya look at the date today... 6/28...

Re:A trick to eliminate 2π (sometimes) by hughes on Wednesday June 28, 2023 @02:26PM (#36510503)
Coincidentally, happy Tau Day! (6.28)
Re:A trick to eliminate 2π (sometimes) by mgunyho on Wednesday June 28, 2023 @03:16PM (#36511199)
Not a coincidence :)