You can never write pi as a fraction of integers or as a finite decimal expansion. This is called an irrational number. Similar Math Discussions Math Forum Date Difference between Revenue per user and Average Revenue per user Economics Sep 5, Laurent Series, difference between these two "geometric series" Complex Analysis Jun 25, Difference between division and fractions Elementary Math May 30, How to find the value of the difference between two determinants divided by b-a and b-c?
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Top Bottom. Difference between Revenue per user and Average Revenue per user. Sep 5, Laurent Series, difference between these two "geometric series". Jun 25, If you don't think that equation is crazy and awesome, then you aren't paying attention.
It makes a relationship between these five numbers:. But why does this equation work? That's not such a simple answer. Of course, you could use Euler's formula for exponentials:. However, that is sort of like explaining magic with more magic. For me, the problem is that we like to think of numbers as real countable things. But you can't count an imaginary number.
You can say that 3 2 is like 3 groups of 3, but what about 3 1. Or what about 3 Those are pretty tough to picture. If you still want to grok this Euler Identity, check out this site. Imagine a large sphere. If you know the diameter of this large sphere, you can also find the circumference using the value of Pi.
Now replace the sphere with the diameter of the observable universe at 93 billion light years yes, I know this is bigger than 13 billion light yearsit's complicated.
If we don't know the exact value of Pi, but one digits then we don't know the exact circumference. However, the uncertainty in the circumference is less than the Planck lengththe smallest unit of distance measurement that has any meaning. You need even fewer digits of Pi to get a uncertainty in the circumference smaller than the size of an atom.
So, should we just stop looking for more and more digits of Pi? No, we need to continue the quest for a better appoximation of Pi. Forums New posts Search forums. What's new New posts Latest activity. Log in Register. Search titles only. Search Advanced search….
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