Okay I am stupid, I though that everything divided by zero have to be zero because everything mul by zero must be zero.
So lets take an example.
1/10 = 0.1
but 1/(0.1)=10
So the conclusion is, the tinier the divisor, the bigger the result.
Lets take another example
1/(1/100) Also you can type it as 1/(0.01) it will yield result 100
So do 1/(0.00000001) it will result 10000000
So what it we divide it with zero? Yes. It would be infinity. I was stupid, really stupid. I know this when I on hi-school but never understand it.
Hi Onan,
The result of division by 0 is undefined :
x \ 0 = not defined ( x is a member of the real number set. )
You need to careful with zero. Consider this :
0 \ 0 = ? ( again undefined )
0 \ 0 = 0 is false. Here is a trick :
( 0 \ 0 ) * 5 = ( 0 \ 0 ) * 10
0 * 5 = 0 * 10 -> 0 * 5 = 0 , 0 * 10 = 0
Trying to simplify by 0 ( division by 0 ) :
5 = 10 or 1 = 2 which is not true.
Working on the division by 0 problem, the correct approach is to use limits :
lim x -> 0+ ( a \ x ) = + ∞
lim x -> 0- ( a \ x ) = - ∞
lim x -> 0 ( a \ x ) = undefined
Some examples :
i) lim x -> 0+ ( a \ x ) = + ∞
5 \ 0.001 = 5000
5 \ 0.000001 = 5000000
5 \ 0.0000000001 = 50000000000
...
ii) lim x -> 0- ( a \ x ) = - ∞
5 \ -0.001 = -5000
5 \ -0.000001 = -5000000
5 \ -0.0000000001 = -50000000000
...
Or watch in Olly what you get - it's called a BAD number :bg
include \masm32\include\masm32rt.inc
.code
start: fldz
fldz
fdiv
exit
end start
technically, any value divided by zero is "undefined"
however, in calculus, it is sometimes convenient to assign it a value of correctly signed infinity :P
Zero means "nothing", but is represented as one simbol. Zero are hold places simbolics.
Vortex:
:U Thank I think I got it.
Quote from: dedndave on September 17, 2011, 11:40:27 AM
however, in calculus, it is sometimes convenient to assign it a value of correctly signed infinity :P
.. a defined 'indefinite'... :eek
if you think of it 'logically'..
If you take something, and you divide it into zero pieces... you end up with either 1 or 0 pieces (hence Binary is the way :green2),... not suddenly a gazillion pieces. (This sort of thing only happens in magical biblical scripts) :bg
Hi vanjast,
QuoteIf you take something, and you divide it into zero pieces... you end up with either 1 or 0 pieces (hence Binary is the way ),... not suddenly a gazillion pieces. (This sort of thing only happens in magical biblical scripts)
Nice comment. You reminded me Schrödinger's cat remaining both alive and dead.
It could mean that what you observe is actually 'what is', and visa versa..
:wink
I guess, it would also depends on the set of data.
Consider the formula for RSI (relative strength index).
RSI = 100 - 100/(1 + (Average Gain / Average Loss))
Which gives a value between 0 and 100 inclusive.
What happens if there is no loss in the set of data. Sure one can go to the undefined route here. But what I do instead is:
if(0 == Average Gain) {
if(0 == Average Loss) {
RSI = 50;
} else {
RSI = 0;
}
} else if(0 == Average Loss) {
RSI = 100;
} else {
RSI = 100 - 100/(1 + (Average Gain / Average Loss))
}
Mathematically incorrect. But avoids a division by zero,while giving a usable result.
If the average gain is equal to the average loss, then RSI = 50
If the average gain is zero, the RSI is zero.
If the average loss is zero, then RSI will tend to its maximum value 100
Otherwise use the formula.
put on Pet Shop boys "divide by zero" while solve is:)
so if I have a divide inside an algo, I say I need to define divide by zero etc by what works best for what is best to produce from that algo
a related problem is also trigo tan endsup to be 90 degrees