Ok I'm getting annoyed with people saying 0/0 is infinite. Zero groups of nothing equals well nothing. Yes on a graph it is -infinite and +infinite because how would you graph nothing? Or people saying that anything times zero equals so 0/0 can't be true. Because 0/0= (0)(x)=0. Well explain this then. If 0x1=0 and 0x2=0 then does 1=2?
0 has a lot of issues. It has issues when it's in factors, under square roots, when it is squared, etcetera.
But understand that the mathematical system of having 'zero' is that zero isn't really a number, it's a concept of having nothing. Math is for numbers, right. Well, zero isn't a number since it has no value. I know it really is one, but for just about every mathematical operation we do, there is usually a special rule for 'zero'. The concept of zero is only so we can better understand the effects on things when there is absolutely 'nothing' at our position. For example, if you look at a graph that is showing populations and whatever - you can't start off with 'zero' population. How would it grow? So your 'y intercept' is based on a starting value, assuming time, which is x, hasn't started.
Idk, I'm pretty sure we can trust math. It's just logic that is being explained through numbers. And we all know we can trust logic.
So we techinically cheat with factoring? 0=x^2+3x+1 0=nothing Nothing over nothing is well nothing. So if nothing can equal something than does that mean we can create something out of nothing?
7 zero times is equivalent to 0 7 one time is equal to 7 7 two times is equal to 14
and for those that can't read that... here's a cipher. # times means you take that number and you add it into the equation 7 + 7 + 7 = ? for however many times it shows up. if something shows up 2/7 times then you find 2/7ths of that number and put it on the left side of the equation.... and tabulate whatever's on the left to get what pops out on the right. zero times is the same as saying 0/7... and 0/7 =0... 0/4=0... 0/2=0.
and I need to see a picture of whatever it is you're graphing. last I checked a calculator doesn't graph 0/0
there are ventilation/perfusion models that are read as some number divided by 0 as being infinity... and 0 over some number equaling zero. but that's slightly different. ur going to have to give contextual examples. what types of data are you dealing w/?
0 can be treated as infinite yes. Infinity is the highest number possible. 0 by any number is 0 so in this sense it's treated as infinite (the highest number possible).
1 over 1 = 1 2 over 2 = 1 3 over 3 = 1 0 over 0 = ?
That kind of induction doesn't work with 0 because 0 is, as already mentioned, a special case.
Somebody let me know if there's any official word on this. I doubt there will be though. If there was, then the internet would forever be ruined, as then we wouldn't be able to DIVIDE BY ZERO, if you know what I mean.
That kind of induction doesn't work with 0 because 0 is, as already mentioned, a special case.
I was just wondering because it occurred to me now.
Somebody let me know if there's any official word on this. I doubt there will be though. If there was, then the internet would forever be ruined, as then we wouldn't be able to DIVIDE BY ZERO, if you know what I mean.
0/0 isn't infinite, it's undefined. There's a difference.
Yeah, ANYTHING divided by 0 is undefined, including 0/0.
I guess I'll start here. Well while almost anything else divided by zero is undefined or infinity (which for our purposes are very closely related), zero is an exemption. Because 0/0 is indeterminate which is not the same thing as undefined.
0/0=? which can be rewritten as 0*(1/0)=? substitute a variable in for 0 x*(1/x)=? as x approaches 0. From here it's important to note that 1/x as x approaches 0 = infinity. thus the equation becomes x*infinity=? as x approaches 0 or 0*infinity=0
the problem arises when you're multiplying infinity times 0. where anything else times infinity is infinity and anything else times 0 is 0.
now this isn't to say that indeterminate forms can't be solved. For example, L'Hôital's rule can help mathematicians solve equations like these. But that will change from case to case. For example, Sin(0)/0=0/0 but sin(x)/x as x approaches 0 = 1
Sorry for the double post. But my post relates to limits. For those who don't know what that is you can think of it as the intended height of the function, equation etc. So while the value itself might not exist there, the limit still will. Dunno, thought that I should point that out I guess.
