It was Gentle Thursday.
I sat on the lawn in front of Old Main and ate a gummy. Memories...
I sat on the lawn in front of Old Main and ate a gummy. Memories...
OT: It’s Pi Day!
- Thread starter LionJim
- Start date
Sometimes it easier in equations for cancellation/factoring if you use a fraction.
Since it’s Pi day, I’ll toss my favorite use of Pi in Physics and tie this in to your question. I learned this in High School physics. Basically, in relativistic equations, a couple things away keep coming up. They were the number of second per year, and the Constant Pi due to geometry or similar. It’s been wayyyyyyy too long to remember why.
In any event, How many seconds per year? Pi x10**7.
My teacher used to use that approximation al the time in reducing equations to pretty simple answers.
I thought there were 12 seconds per year. Jan 2nd, Feb 2nd, etc.
Back in the day it used to be Rolling Rock in tiny glasses with Ghigarelli’s pizza
Madhava actually came up with an error formula (tells us how by much the sum can be off by). After n terms the error is (n^2+1)/(4n^3+5n). So as a tool to calculate pi, you can do much better. As I understand it, Ramanjuan’s ideas are the engine for the current algorithm to calculate the values of pi. (Something that doesn’t interest me at all, as I find it pointless.)
Just for ***** and giggles, in the Wisconsin-Michigan game the other day, the teams shot 16/72 for threes. I noticed that this reduces to 2/9, which is .2 bar, you know, .2 with a bar over the 2, meaning .222222…
I’m sure you all learned this in elementary school, 1/3 =0.3333333… (.3 bar; this is how mathematicians say it out loud). Multiply both sides by 3 and what do you get? 1 = .99999999… (.9 bar).
To convince yourself that this equality is true, you can assume that they’re not equal and then try to find a number between them, that is, less than 1 but greater than .999999…
Not sure if this is common knowledge, thought I’d keep milking the thread.
I’m sure you all learned this in elementary school, 1/3 =0.3333333… (.3 bar; this is how mathematicians say it out loud). Multiply both sides by 3 and what do you get? 1 = .99999999… (.9 bar).
To convince yourself that this equality is true, you can assume that they’re not equal and then try to find a number between them, that is, less than 1 but greater than .999999…
Not sure if this is common knowledge, thought I’d keep milking the thread.
