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Is zero even or odd?

Discussion in 'Electronic Design' started by Gactimus, Dec 20, 2004.

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  1. Virgil

    Virgil Guest

    Yes!
     
  2. George Cox

    George Cox Guest

    And two isn't prime because it's even?
     
  3. 'infinity'.

    There is no lack of rigour in the definition of infinity. Read anbout
    the work of Cantor, Dedekind and others.

    [snip]

    Franz
     
  4. [snip]
    Not on my Casio calculator.

    Franz
     
  5. Well, and in the above it takes on 1, so that would be quite legal,
    right?
     
  6. Hue-Bond

    Hue-Bond Guest

    Shawn Corey, [email protected]:43:59(CET):
    That could be said louder, but not clearer :).
     
  7. What else is it there?
     
  8. I'm sorry, sir, but 0 is universally defined in math to be neither - nor
    +, it's jsut 0. Many graphing and soem scientific calculators have a
    sign function. On any calc I've tried this on, it gives -1 for any
    negative number, it gives a 1 for ant positive value, and 0 (zero) for,
    well, 0 (zero.) As is defined in basic math.
     
  9. Except for the fact that: 0 / 0 = undefined

    Or actually more correct: n / 0 = undefined
     
  10. n / 0 = undefined
     
  11. Shawn Corey

    Shawn Corey Guest

    a = b
    a^2 = ab
    a^2 - b^2 = ab - b^2
    (a+b)(a-b) = b(a-b)
    a+b = b
    but a = b
    a+a = a
    2a = a
    2 = 1

    What could be clearer?

    --- Shawn
     
  12. Jim Thompson

    Jim Thompson Guest

    I remember that one from when I was in high school ;-)

    ...Jim Thompson
     
  13. Fred Bloggs

    Fred Bloggs Guest

    It's a number theoretic definition- we are not talking physics and there
    are no laws to invoke here. Even/odd is partition of the set of integers
    in accordance with modulo-2 equivalence classes: EVEN={m: m MOD 2=0} and
    ODD=INTEGERS-EVEN. The set of even numbers is all integers of the form
    2n, everything else is odd.
     
  14. Now if we can just get the IRS to agree.
     
  15. Fred Bloggs

    Fred Bloggs Guest

    0/0={ SET OF ALL INTEGERS }

    n/0= NULL SET for n<>0

    It is very well-defined.
     
  16. No, it's just 9. You dont have +0 or -0, it's just 0 (zero.) Writing it
    as +0 or -0 still is jsut 0 sicne 0 has no sign. You have +, -, and 0.
    Or for what you get from any proper sign function, either 1, -1, or 0.
     
  17. Thats becuase, when translated to reality, that statement becomes (0)^2
    = 0, because 0 has no sign. I really wish people would stop trying to
    spread the false hood that0 actually has a sign.
     
  18. Jim Ward

    Jim Ward Guest

    0 has no flat edges, so it can't be even.
     
  19. No, you *do* have +0 and -0, and they are both equal to 0.

    -- Richard
     
  20. Ed Murphy

    Ed Murphy Guest

    I used to know a proof along these lines:

    -----

    x = +1
    A = [integral] f(x) dx
    x = -1

    By examining a graph, it is obvious that A > 0.

    Let y = 1/x, therefore x = 1/y, and substitute this into the equation:

    x = +1
    A = [integral] f(1/y) f'(y) dy
    x = -1

    The right-hand side is clearly equivalent to -A

    A = -A

    A = 0
     
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