Pi Definition and 514 Threads

Thanks, everyone for the original postings. Question: If a diameter of 1 ascribes a circle of pi, does it it not lead to the conclusion that pi is determinate? After all, is this not a properly constrained system?

I've seen before that Pi supposedly takes a lot of processing power to approximate because of its infinite series 4\sum_{r=1}^\infty \frac{-1^{r+1}}{2r-1} However would it not be far quicker to use the infinite series to approximate arcsin{\frac{1}{\sqrt{2}}} and then multiple the answer by...

How was pi discovered, and how is it calculated?

Is pi Infinite?

Is the value of Pi related to the curvature of space-time? Is it the value that it is because space-time is more or less flat? If the universe were of a greater open or closed curve, would Pi be a different value? Thanks, Glenn

Looking for "Easy" proof of Pi Irrational Hi, I just got to this forum after searching for an easy proof that Pi is irrational. The thread I found (google) was this one HERE. I wanted to reply, but since it is now “archived” I thought it would be better to post a new thread. Sorry if this...

Sorry...out of pi. Picked this up elsewhere, but now can't locate...computer language for operating system developed from neuronet AI system with geometric matrix that does not incorporate pi. As I gathered, the language is based upon various geometric configurations where length of line or arc...

do those constants have any relation to each other? does something like pi-e or pi/e has any significance?

Please look at the attached pdf. You will find in it a circle and some sub-area inside it. The sub-area exists between the radius and a curve. The curve is connected to both sides of some radius, and goes through the intersection points that exists between n radii and n-1 inner circles...

[SOLVED] Easy Proof of Irrationality of Pi Ooops, I found a critical error in my proof. Please ignore my stupidity if you already read it. So seeing as my easy "proof" failed perhaps someone here can help me out. Do any of you know of any easy proofs for the irrationality of pi? Thanks.

How many decimals of Pi do you people remember by heart. I started learning them not so long ago and so far i got: 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 06647 09384 46095 50582 23172 53594...

I heard there is a certain way to find a certain digit of Pi without knowing the digits before it. Now i tried to make a search on it, and i got some pages, but frankly couldn't understand anything in them ! So i would appreciate if someone could explain to me in a simple way how to figure out...

I was looking at the number Pi yesterday, with its odd sequance of digits, and an plausible idea popped into my head: could any possible sequance of digits be found as a substring of the string of digits that make up pi? (sure seems so)

Some people try to memorize the digits of Pi, but why do they do it ? They say that first of all some day you may use all those digits, and secondly it helps you train your memory. I tried, i memorized the first 120 digits, then i got bored ! So, do you people think that memorizing some...