Originally posted by yampa
Black holes were produced as a theoretical speculation *first* - they were not trying to explain unexplained data. If the original speculation is false, and you can point out mathematically why it is false then why would you return to a broken theory?
Originally posted by tremex
That means there are infinitely many solutions to the equation 0/0 =x.
Originally posted by charlyv
Zero is not infinity. Infinity can be infinitesimally small or infinitesimally large. Zero is not in the set of anything with substance, it is nothing.... nill..... the absence of anything..... you cannot give it a sign. it is undefined.
You can play a lot of games with it, but it is, and always will be, nothing.
Originally posted by tremex
Since 0 = 0, then the absence of elephants weighs the same as the absence of squirrels. It follows that the volume of nothing in the lunch box equals the volume of nothing in the space between galaxies.
Originally posted by ImaFungi
A bit off topic but something ive been dying to know, and you seem like you know a bit of physics; Has there ever been created a legit animation of what the most knowledgeable physicists know photons look like?
Originally posted by tremex
Originally posted by charlyv
Zero is not infinity. Infinity can be infinitesimally small or infinitesimally large. Zero is not in the set of anything with substance, it is nothing.... nill..... the absence of anything..... you cannot give it a sign. it is undefined.
You can play a lot of games with it, but it is, and always will be, nothing.
Does 0 elephants weigh more than 0 squirrels?
Since 0 = 0, then the absence of elephants weighs the same as the absence of squirrels. It follows that the volume of nothing in the lunch box equals the volume of nothing in the space between galaxies.
Originally posted by ilian51378
I just used a Google calculator and divided 6/0 and the answer was 0...
Also, when I calculated the 0 squared, the answer was 1...
Furthermore, the answer for the square root of 0 is 0...
From those answers and the insight I got from the posted video on the subject on page one, I concluded that the Google calculator is being naughty!
Well, at least I arrived at some conclusion...edit on 4/9/13 by ilian51378 because: (no reason given)edit on 4/9/13 by ilian51378 because: (no reason given)
Hey at least that programmer trapped the error, unlike the programmer for the US Navy who didn't trap the error and the ship's propulsion shut down as a result.
Originally posted by charlyv
It is because the programmer obviously had to trap the resultant error
Perhaps the programmer could have just trapped the error and told the program to skip that value and go on to the next one, and the ship wouldn't have shut down.
On September 21, 1997, a division by zero error on board the USS Yorktown (CG-48) Remote Data Base Manager brought down all the machines on the network, causing the ship's propulsion system to fail.
As this graph shows you approach positive and negative infinity from dividing by smaller positive and negative numbers, so having a single zero won't work, which is why they define a positive zero and a negative zero (and you thought they were the same, right? They are I suppose, but not in floating point exception handling).
The IEEE floating-point standard, supported by almost all modern floating-point units, specifies that every floating point arithmetic operation, including division by zero, has a well-defined result. The standard supports signed zero, as well as infinity and NaN (not a number). There are two zeroes, +0 (positive zero) and −0 (negative zero) and this removes any ambiguity when dividing. In IEEE 754 arithmetic, a ÷ +0 is positive infinity when a is positive, negative infinity when a is negative, and NaN when a = ±0. The infinity signs change when dividing by −0 instead.
Originally posted by charlyv
Originally posted by tremex
Originally posted by charlyv
Zero is not infinity. Infinity can be infinitesimally small or infinitesimally large. Zero is not in the set of anything with substance, it is nothing.... nill..... the absence of anything..... you cannot give it a sign. it is undefined.
You can play a lot of games with it, but it is, and always will be, nothing.
Does 0 elephants weigh more than 0 squirrels?
Since 0 = 0, then the absence of elephants weighs the same as the absence of squirrels. It follows that the volume of nothing in the lunch box equals the volume of nothing in the space between galaxies.
No, it does not. There is no such thing as a volume of nothing, so there is nothing you could measure it against. In fact, 0=0 does not make any mathematical sense as well, since you cannot compare undefined to anything, even itself.
Originally posted by charlyv
Originally posted by ilian51378
I just used a Google calculator and divided 6/0 and the answer was 0...
Also, when I calculated the 0 squared, the answer was 1...
Furthermore, the answer for the square root of 0 is 0...
From those answers and the insight I got from the posted video on the subject on page one, I concluded that the Google calculator is being naughty!
Well, at least I arrived at some conclusion...edit on 4/9/13 by ilian51378 because: (no reason given)edit on 4/9/13 by ilian51378 because: (no reason given)
It is because the programmer obviously had to trap the resultant error, which is an illegal operation, producing a NAN (not a number) and decided to just display '0', instead of an error message. Otherwise, crashing the script. Boo on them for not letting the user know why.
Originally posted by tremex
Originally posted by tremex
That means there are infinitely many solutions to the equation 0/0 =x.
Infinitely many solutions?
A bright kid from junior high would point out the fact that
a/a = 1
It follows that if a=0, then
a/a = 0/0 = 1
and therefore there is a unique solution to equation 0/0 = x, with the solution being x=1. Since 0 = 0*1, the multiplication check holds.
Originally posted by Krazysh0t
By the way the math doesn't work, because you can also so that 0/0 = 2 and the multiplication of both sides by 0 will still work out. In fact you could put any number complex, real, imaginary, whole, etc as the answer to the problem 0/0 = x. The multiplication check would still work. Heck you could even throw complex equations as the answer to that problem and the multiplication check would still work. 0/0 = sin^2(x) + 2x^3 - e^x? Sure why not? Just multiply both sides by 0. Hence the value of 0/0 is undefined.
Time index 4:30, Kaku says: "Here is the problem: When r is equal to zero. The point at which physics itself breaks down".