Is zero even or odd?

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

1. David KastrupGuest

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 CoxGuest

May I disagree? lim_{x->0} x/x is lim_{x->0} 1 is 1.

3. David KastrupGuest

Only if you understand what I am talking about.
That _is_ further qualification of the limiting form 0/0.

4. John WoodgateGuest

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.

7. John FieldsGuest

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

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 SeamanGuest

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. George DishmanGuest

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. George DishmanGuest

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 CoxGuest

Indeed lim x -> A f(x) can exist even when f(A) doesn't. Example: f(x)
= x/x.

15. Nicholas O. LindanGuest

No it has value: 0/0 == 0/0 = 0/0 * 1 etc.

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

16. vonroachGuest

Your `arguments' are meaningless.

17. vonroachGuest

Nope, you are already there.

18. vonroachGuest

Meaningless comment.

19. vonroachGuest

Fog never lifts on meaningless crap as posted by you.

20. vonroachGuest

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