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Mathematics 18 Online
OpenStudy (anonymous):

what is the full number pi?

OpenStudy (zzr0ck3r):

\(\pi=\pi\)

OpenStudy (zzr0ck3r):

What do you mean?

OpenStudy (anonymous):

it doesnt end but here is some of it 3.141592654

OpenStudy (anonymous):

wut?

OpenStudy (zzr0ck3r):

There is no way to write pi in decimal form, or as the ratio of two integers.

OpenStudy (triciaal):

usually just use 3.142 when not using 22/7

OpenStudy (anonymous):

ok then

OpenStudy (zzr0ck3r):

these are all approximations.....make sure you understand that.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

100,000 Digits of Pi

OpenStudy (triciaal):

and what is your point?

OpenStudy (anonymous):

If you want lots of digits, here: http://www.subidiom.com/pi/

OpenStudy (anonymous):

"Search \(2 \times 10^9\) decimal digits of Pi"

OpenStudy (zzr0ck3r):

The best way to think about pie, is by taking a circle, and "unrolling it", and out that in a fraction with the circumference|dw:1418186958567:dw|.

OpenStudy (zzr0ck3r):

in a fraction with the diameter*

OpenStudy (anonymous):

Another way of seeing it is that \(2\pi\) is the circumference of a unit circle.

ganeshie8 (ganeshie8):

how do you define pi in real numbers @zzr0ck3r just curious.. if it is easy to define it using dedekind cut or cauchy sequences.. .

OpenStudy (anonymous):

If you want a sequence converging to \(\pi\), just take a series expansion of \(\pi\) and then expanding up to \(n\) terms would be the \(n\)'th element of the sequence. http://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80

OpenStudy (zzr0ck3r):

no idea @ganeshie8

ganeshie8 (ganeshie8):

okay i thought dedekind cuts are part of real analysis defining a cut for irrational numbers like \(\sqrt{2}\) etc looks easy but i guess transcendental numbers are tricky http://en.wikipedia.org/wiki/Dedekind_cut

OpenStudy (swagster23780):

3.141592654

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