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Post by Phaedrus on Mar 14, 2012 7:52:14 GMT -5
And coincidentally, Albert Einstein's birthday.
3.14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679...
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Deleted
Deleted Member
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Post by Deleted on Mar 14, 2012 9:58:10 GMT -5
i've always found it interesting how the intellectual discipline of mathematics points man toward infinity...  |
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Post by BearClause on Mar 15, 2012 0:15:55 GMT -5
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Post by jgrout on Mar 15, 2012 8:46:18 GMT -5
Equal time for e: apod.nasa.gov/htmltest/gifcity/e.2milFor those of you who don't happen to know this already, these values are computed by iterating infinite series to convergence at a particular precision. The individual series values for both pi and e are computed using bignum addition, subtraction, multiplication, reciprocal approximation (instead of division) and square roots. Fast bignum multiplication uses extended precision discrete Fourier transforms (DFTs)... double-precision FFTs are enough for bignums with mere millions of digits... and is vastly faster than ordinary multiplication for such large numbers. Bignum reciprocal approximation and square root have used the same tricks since the days of HP calculators and the Cray-1 and Cray-2.. they're built on top of infinite series iterated to convergence whose individual values are calculated using addition, subtraction and multiplication. |
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Post by chipNdink on Mar 15, 2012 17:39:06 GMT -5
Speaking of e and pi, here are four unique quantities related by one simple equation:
e^(i*pi) = -1
Mathematical elegance!
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