damn I q0wn u all at MTG

Discussion in 'New & Returning Members' started by 2g00d4u, Dec 13, 2000.

  1. Spiderman CPA Man in Tights, Dopey Administrative Assistant

    I got it (well, the theory at least).
  2. NeuroDeus Doctor Wundindlinyg

    Stop tryin to be all so 31337... The next t'ing you will say Magic playerz breed hackers (hax0rs)

    and ohh... welcome...
  3. dw51688 The Mad Scientist

    Probably it would help if you spelled the word "Diophantine" - the
    equations are named after Diophantus of Alexandria, a famous Greek
    mathematician of antiquity.

    A Diophantine equation is one equation in at least two variables, say
    x and y, whose solutions (x,y) are required to be whole numbers
    (integers). Some such equations have no solutions. Some have a finite
    number. Some have infinitely many. The example of the Pythagorean
    equation is one:

    a^2 + b^2 = c^2.

    If you are asked for integer solutions, this is a Diophantine
    equation. You already know some solutions, I am sure:

    (a,b,c) = (0,0,0), (0,1,1) (0,1,-1), (0,-1,1), (0,-1,-1), (1,0,1),
    (1,0,-1), (-1,0,1), (-1,0,-1),

    for example. You can see that for this equation, you can assume that
    a, b, and c are all positive. From that solution you can obtain others
    by changing signs of some or all of a, b, and c. Furthermore, you can
    assume a <= b, since you can take any solution and swap a and b to get
    another. In this case there are infinitely many solutions.

    Another Diophantine equation might be 5*x + 7*y = 57. This, too, has
    an infinite number of solutions, and they are given by x = 3 + 7*t,
    y = 6 - 5*t, where t is any integer.

    Hehe, neva' mind
  4. Bob Idiot

    That's some freaky mumbojumbo

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