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Is zero even or odd?

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

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  1. It does not result in contradictions? Since when?

    any number = 0/0 = (2*0)/0 = 2*(0/0) = 2*any number = any even number
     
  2. George Cox

    George Cox Guest

    May I disagree? lim_{x->0} x/x is lim_{x->0} 1 is 1.
     
  3. Only if you understand what I am talking about.
    That _is_ further qualification of the limiting form 0/0.
     
  4. I read in sci.electronics.design that Matthew Russotto
    What multiple values do you mean? As far as I know, 0^0 = 1 results in
    no contradictions. So it is ONE solution. Maybe you know of others;
    that doesn't bug me.
    Which 'logically-inferred value'? This is an equation whose solution is
    'any number'. That doesn't bug me, either.
    The limit Lim(x->0+)(log x) exists, and the value '-oo' creates no
    contradictions that I am aware of. Your view may differ.
    Ooh! That's a REALLY tough one! Maybe you didn't mean it, or you posed a
    trick question.
     
  5. John Fields

    John Fields Guest

     
  6. John Fields

    John Fields Guest

     
  7. John Fields

    John Fields Guest

    If you have no money, how large is the set of that which you can't
    afford?
     
  8. John Fields

    John Fields Guest

     
  9. Guest

    Shhhh. Don't encourage him.

    Mati Meron | "When you argue with a fool,
    | chances are he is doing just the same"
     
  10. Guest

    I notice that you carefully avoided dealing with my little exercise:)
    In order to find out what o divided by itself, or indeed anything
    divided by anything, yields, you do need the definition of division.
    Mathematical operations do not have an existance independent of their
    definitions.
    You're very welcome.

    Mati Meron | "When you argue with a fool,
    | chances are he is doing just the same"
     
  11. Dave Seaman

    Dave Seaman Guest

    There can't be very many others. Consider:

    Let x = 0^0.
    Then x^2 = (0^0)^2
    = 0^(0*2)
    = 0^0
    = x,

    from which we find that the only possibilities are x = 0 or x = 1.
    Of those possibilities, 0^0 = 1 is the only logical choice, for the various
    reasons that have already been discussed.
     
  12. If you go back down the thread a bit, you'll see
    that was my point, John's attempted proof can be
    used equally well to show it is any other value
    therefore it fails as a proof that the value is
    uniquely 1.

    George
     
  13. I think that's the key point that Michael and
    I are trying to get across John. You have to
    select specific initial conditions to get the
    answer you want and if you choose different
    conditions you get a different answer.

    The bottom line is that if you know a and b and

    c * b = a

    then

    c = a/b

    lets you find c.

    c = 0/0

    is a way of asking a question, what number when
    multiplied by zero gives the answer zero. Any
    finite number satisfies that requirement, not
    just one.

    George
     
  14. George Cox

    George Cox Guest

    Indeed lim x -> A f(x) can exist even when f(A) doesn't. Example: f(x)
    = x/x.
     
  15. No it has value: 0/0 == 0/0 = 0/0 * 1 etc.

    It just doesn't have any other value. (Yet)
     
  16. vonroach

    vonroach Guest

    Your `arguments' are meaningless.
     
  17. vonroach

    vonroach Guest

    Nope, you are already there.
     
  18. vonroach

    vonroach Guest

    Meaningless comment.
     
  19. vonroach

    vonroach Guest

    Fog never lifts on meaningless crap as posted by you.
     
  20. vonroach

    vonroach Guest

    You bore with this nonspeak garbage. Go troll elsewhere Tonto.
     
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