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A question on pi...

 
 
Reply Wed 27 Apr, 2005 08:28 am
This is something that has puzzled me for a long time, what numbers do you divide to get pi? they must surely be very complicated.

oh, and 1 more thing. What is e Confused
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Type: Discussion • Score: 1 • Views: 745 • Replies: 4
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Brandon9000
 
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Reply Wed 27 Apr, 2005 09:12 am
Pi is the ratio of the circumference to the diameter of every circle. You can calculate it with any of several results obtainable through calculus of a type called a Taylor series expansions.

Just as so-called common logarithms have base 10, natural logarithms have the number e as their base. e is about 2.718. I do not know how to define natural logarithms without referring to calculus.
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raprap
 
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Reply Wed 27 Apr, 2005 09:17 am
Pi is the ratio of the circumference to the diameter of a circle.

See Pi

e is a natural number that is equal to area bounded by the hyperbola y=1/x the x axis and the vertical limits x=1 and x=e. Consequently e is is real handy as a logarithm base (natural vs common-base 10 logrithms).

See e

BTW click on the blue Pi & e to connect to websites on Pi & e that will probably tell you more than you want to know.

Rap
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engineer
 
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Reply Wed 27 Apr, 2005 09:38 am
Other thoughts
On PI, everyone knows the 22/7 approximatation. A much better one is 355/113.

On e, e is also the limit of (1 + 1/n) ^ n as n goes to infinity. If you expand that out, you can see it is also the limit of the summation of the series 1/n! where n goes from 0 to infinity.
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einherjinn
 
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Reply Thu 28 Apr, 2005 06:38 pm
allright, thanks a lot Smile
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