[skale]

When can the following be true?

0 / 0 = 1

Yes, read as zero divided by zero equals one!

No Tens, unit, magic.. blah blah! guess enuff hint for now

Spoiler for ...:

Finally the solution:
dBm is a unit to measure absolute Power, x dBm = 10* log(X^10e+3), where X is power in Watts.
Thus, 1 mw (milli Watt) = 10e-3 W = 10 * log(1) dBm = 0 dBm

Now, 0 (in dBm) / 0 (in dBm) = 1 (but Obvious)

So fellas, spot any fallacies?

Gee, should acknowledge some guy in SD for some funny questions on dBm scale which led to this q. Me thinks it makes cracker of a q

[infomaniac.nick]

WHen the 0's are Doughnuts (that's donuts to you americans)... MMM doughnuts

[Canna71]

Does it involve limits?
Like: lim(x->0) sin(x) / x = 1

[skale]

Quote

Does it involve limits?
Like: lim(x->0) sin(x) / x = 1

Nopes, no limits please, but that's clever! Some non-linear ideas may help...

[comperr]

a = 1
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a+B.) (a-B.) = b(a-B.)
divide through by a-b
(a+B.) = b
a + b -1 = b-1
1 + 1 - 1 = 1-1
1 = 0

so
0/0 = 1
is the same as
0/1 = 0
and therefore the answer is always.

[normdeplume]

The expontial value n^0= 1 then 0^0 = 1

Theefore if we write:

=> 0^0 / 0^0 = 1
=> 1 / / = 1

QED.

[skale]

Quote

=> 0^0 / 0^0 = 1
QED.

not indeed! 0^0 != 1

Take logarithm on both sides and it crashes to indeterminate form...

Well, but maybe on the right track

[skale]

Quote

a = 1
divide through by a-b
and therefore the answer is always.

Division by (a-B.) results in indeterminate form... but keep thinking!

[comperr]

Yeah I know - I was kidding with that one. When I was in school one of my profs challenged us to prove 25 incorrect mathematical concepts such as ln 1 = 0; 0=1; i squared = 1;....
I won.

[normdeplume]

Skale. This may not be the answer you were looking for but I stand by the mathematices of this.

The answer to any number to the power of 0 = 1.

(try typing the equation 0 to the power 0 (ie 0^0=) into google for example and see what answer it gives).

Texts on the matter call the equation, the 'indeterminate form'. But all perceived wisdom accepts 0^0=1