Science
Related: About this forumHappy Pi Day (3/14) but Pi is still wrong.
Not wrong as calculated. It just makes more sense to base the "circle ratio constant" on the radius rather than the diameter. Every time places pi crops up in nature, it's almost always related to the center or origin of the circle, not its diameter. Using a ratio based on the diameter just obscures the beauty or at the very least the clarity of the mathematics.
https://www.scientificamerican.com/article/let-s-use-tau-it-s-easier-than-pi/
Hugo24601
(45 posts)Does 1=.999 repeated infinitely?
Lol jk
Fortinbras Armstrong
(4,473 posts)Here is the proof.
(Equation 1) X = .99999...
Multiply both sides by 10, giving Equation 2, 10x = 9.99999...
Subtract Equation 2 from Equation 1:
10X = 9.99999...
- X = .99999
This gives 9X = 9.
Divide both sides by 9, and you get X = 1
If you remember your calculus courses (you did study calculus, didn't you), it can also be proven using Abel's test on a converging series.
PoliticAverse
(26,366 posts)pokerfan
(27,677 posts)ei? = 1
Simple, concise, beautiful.
In English, one complete turn or '?' around the unit circle brings you back to 1 (unity), not halfway as 1? which leaves you stranded at -1. It never made any sense to this engineer that it takes 2? to make one revolution.
https://hexnet.org/files/documents/tau-manifesto.pdf
PoliticAverse
(26,366 posts)Lucky Luciano
(11,256 posts)Like the normal density function and many other functions.