duminică, 29 iulie 2007

did you know...


=3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 ...


Even long before computers have calculated pi, memorizing a record number of digits became an obsession for some people. A Japanese man named Akira Haraguchi claims to have memorized 100,000 decimal places.

This, however, has yet to be verified by Guinness World Records. The Guinness-recognized record for remembered digits of π is 67,890 digits, held by Lu Chao, a 24-year-old graduate student from China. It took him 24 hours and 4 minutes to recite to the 67,890th decimal place of π without an error

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Some facts:
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1) Pi is the number of times a circle's diameter will fit around its circumference.
2) Pi is irrational. An irrational number is a number that cannot be expressed in the form (a / b) where a and b are integers
3) The sequence of digits in Pi so far passed all known tests for randomness.
4) The fraction (22 / 7) is a well used number for Pi. It is accurate to 0.04025%
5) Pi is a transcendental number. (Transcendental means= Not capable of being determined by any combination of a finite number of equations with rational integral coefficients.)
6) In 1949 it took ENIAC (Electronic Numerical Intergrator and Computer) 70 hours to calculate 2,037 decimal places of Pi.
7) There is no zero in the first 31 digits of Pi
8) The Babylonians found the first known value for Pi in around 2000BC -They used (25/8).
9) Pi is the 16th letter of the Greek alphabet.
10) If you take 10 million random digits, statistically on average you would expect 200 cases where you get 5 digits in a row the same. If you take 10 million digits of Pi, you get exactly 200.
11) If one were to find the circumference of a circle the size of the known universe, requiring that the circumference be accurate to within the radius of one proton only 39 decimal places of Pi would be necessary.
12) Half the circumference of a circle with radius 1 is exactly Pi. The area inside that circle is also exactly Pi !
13) It is not known if Pi is normal. No one has proved that Pi isn't normal, so people generally assume that it is.
14) At position 763 there are six nines in a row. This is known as the Feynman Point
15) Other ways to calculate Pi:
  1. / 2 ~= (2*2*4*4*6*6*8*8*...) / (1*3*3*5*5*7*7*9*...)
  2. / 4 ~= 1 -1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...