Linked Questions

4
votes
2answers
470 views

How to calculate π [duplicate]

Possible Duplicate: Simple numerical methods for calculating the digits of Pi How do people/computers calculate π? Im sure long ago, someone just took a measurement of the circumference of ...
3
votes
4answers
603 views

Is $22/7$ equal to the $\pi$ constant? [duplicate]

Possible Duplicate: Simple numerical methods for calculating the digits of Pi How the letter 'pi' came in mathematics? When I calculate the value of $22/7$ on a calculator, I get ...
0
votes
1answer
198 views

How is the value of $\pi$ calculated? [duplicate]

Possible Duplicate: Simple numerical methods for calculating the digits of Pi How is the value of $\pi$ calculated ? I read, $\pi \approx 22/7$
1
vote
0answers
61 views

Calculate value of $\pi$ to millionth digit? [duplicate]

** I wanted to calculate the value of $\pi$ till millionth digit precision ,but I really cannot think of any proper procedure to calculate it ** Can individual nth digit after decimal be calculated ? ...
23
votes
5answers
3k views

How do you calculate the decimal expansion of an irrational number?

Just curious, how do you calculate an irrational number? Take $\pi$ for example. Computers have calculated $\pi$ to the millionth digit and beyond. What formula/method do they use to figure this out? ...
6
votes
7answers
2k views

Series that converge to $\pi$ quickly

I know the series, $4-{4\over3}+{4\over5}-{4\over7}...$ converges to $\pi$ but I have heard many people say that while this is a classic example, there are series that converge much faster. Does ...
12
votes
2answers
2k views

Euler's Approximation of pi.

I recently stumbled across the formula: $$\pi=20\arctan\frac{1}{7}+8\arctan\frac{3}{79}$$ developed by Euler, for approximating pi. I evaluated it to several thousand decimal places and up to that ...
14
votes
2answers
342 views

how to compare $\sin(19^{2013}) $ and $\cos(19^{2013})$

how to compare $ \sin(19^{2013})$ and $\cos (19^{2013})$ or even find their value range with normal calculator? I can take $2\pi k= 19^{2013} \to \ln(k)= 2013 \ln(19)- \ln(2 \pi)=5925.32 \to k= ...
7
votes
4answers
7k views

Is there a simple test for uniform distributions?

I have a function that (more or less) is supposed to select a small number m of random number from the range [1,n] (for some n >> m) and I need to test that it work. Is there an easy to implement test ...
2
votes
4answers
360 views

What are some uses for Monte Carlo simulations in mathematics?

I've recently been interested in Monte Carlo simulations and their uses, unfortunately most of the examples I find are difficult to understand for a beginner. What are some simple examples of using ...