Sabtu, 15 Desember 2012

Mathematic's Facts

Millennium PrizeThe Seven UnsolvedMillennium Prize Math Problems are:
1. P versus NP problem
2. Hodge Conjecture
3. Poincaré conjecture (solved in 2002)
4. Riemann Hypothesis
5. Yang-Mills Existence and Mass Gap
6. Navier-Stokes Existence and Smoothness
7. Birch and Swinnerton-Dyer Conjecture



Fibonacci tileThe Fibonacci sequence are numbers where each following number is the sum of the previous two:
0 1 1 2 3 5 8 13 21 34 55 89 ...

PiYou can remember the value of Pi (3.1415926) by counting each word's letters in "May I have a large container of coffee?"
  • 142857 is a cyclic number, i.e., its digits are rotated around when multiplied by any number from 1 to 6. Like this:
     142857 × 1 =  142857 
     142857 × 5 = 7 14285
     142857 × 4 = 57 1428
     142857 × 6 = 857 142
     142857 × 2 = 2857 14
     142857 × 3 = 42857 1
  • 40 when written "forty" is the only number with letters in alphabetical order, while "one" is the only one with letters in reverse order.
  • 2 is called the "oddest" Even-Prime number. 2 is a unique Even-Prime because while all Evens are divisible by 2, any number apart from 2 that is divisible by 2, is not a Prime.
       1 × 9 + 2 = 11
      12 × 9 + 3 = 111
     123 × 9 + 4 = 1111
            ...
... and so on.

21978 when multiplied by 4 is the same number with digits in reverse order:
     21978 × 4 = 87912

 
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