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we can redfine some equations so that they have meaning:
Quote from: Yahya A.Sharif on 08/08/2019 17:06:14we can redfine some equations so that they have meaning:They already had meaning.
However, division by zero does not.
The result is zero apples have been divided.
It should.
speed equation is a function of the graph x/t
You can't define "division" to mean "not doing division".
Quote from: Yahya A.Sharif on 08/08/2019 20:43:14It should.No.It should not, because , if you do, you get contradictions.
You really are not going to win this argument after hundreds of years.
Speed has nothing to do with graphs.
Einstein won't win any arguments against Newton.
I'm defining " the result of division", division is givining the 4 apples to the two people half for each one"4/2" the result is each one will take two
What are these contradictions?
Quote from: Yahya A.Sharif on 08/08/2019 20:43:14speed equation is a function of the graph x/t Speed has nothing to do with graphs.
Einstein had evidence.o/o=o for speed,and relatistic kinetic energy
//www.youtube.com/watch?v=NKmGVE85GUU
Let's define other expressions with the same logic, these expressions are the subject of speaking:4/0=0 , we have 4 apples and we want to divide them but we don't have anybody, then we won't divide at all , the process won't occur , in such case the number of apples we divide is zero.The result is zero apples have been divided.
0/0=0, we have nothing to divide and we have no people to divide between , then again the process won't occur at all and while we have nothing , we will divide nothing, and while we have no people then we have no-one to give them anything.The result is zero apples have been divided.
4/(infinity)=0The same idea we have 4 apples but the number of people is not fixed they change and increases without bound then we can't do the process of dividing, and we can't give any apple to anyone.The process didn't occur and the result is 0 apples have been divided.Infinity here is not a point or a very large number, infinity is increment in the value of some variable continuously and without bound.
Quote from: Yahya A.Sharif on 08/08/2019 17:06:14Let's define other expressions with the same logic, these expressions are the subject of speaking:4/0=0 , we have 4 apples and we want to divide them but we don't have anybody, then we won't divide at all , the process won't occur , in such case the number of apples we divide is zero.The result is zero apples have been divided.Another way of stating division is by making reference to multiplication. Asking "what is four divided by two?" is the mathematical equivalent of asking "what multiplied by two equals four?" In this case, the answer is two. When you try this with zero, it doesn't work. "What is four divided by zero?" is equivalent to "what multiplied by zero equals four?" There is no answer to this question. There is no number you can multiply by zero and get four. So the answer is undefined.Quote from: Yahya A.Sharif on 08/08/2019 17:06:140/0=0, we have nothing to divide and we have no people to divide between , then again the process won't occur at all and while we have nothing , we will divide nothing, and while we have no people then we have no-one to give them anything.The result is zero apples have been divided.This is undefined as well, but for a different reason. "What is zero divided by zero?" is equal to "what multiplied by zero equals zero?" The answer can be any number at all. Any number multiplied by zero is zero, so you don't have any one answer. That's why this is also undefined.Quote from: Yahya A.Sharif on 08/08/2019 17:06:144/(infinity)=0The same idea we have 4 apples but the number of people is not fixed they change and increases without bound then we can't do the process of dividing, and we can't give any apple to anyone.The process didn't occur and the result is 0 apples have been divided.Infinity here is not a point or a very large number, infinity is increment in the value of some variable continuously and without bound.What multiplied by infinity equals four? That question also has no answer, so it's undefined.
Einstein had evidence.
For other numbers division and multiplication occured .For dividing by zero it didn't occur, so we can't compare the two.Division didn't occur and that resulted in zero.Division and non-division are not the same, but division resulted in non-division and non-division resulted in zero , so division resulted in zero
Quote from: Yahya A.Sharif on 08/08/2019 22:39:52For other numbers division and multiplication occured .For dividing by zero it didn't occur, so we can't compare the two.Division didn't occur and that resulted in zero.Division and non-division are not the same, but division resulted in non-division and non-division resulted in zero , so division resulted in zeroIf the division never happened, then you never got an answer. Which is the same as saying that it is undefined.
V equals the result of the non-division
Quote from: Yahya A.Sharif on 08/08/2019 22:59:19V equals the result of the non-divisionThen V is undefined. Non-division can't give you an answer, because it isn't a mathematical operation.
It was not a mathematical operation before, but I now add it to mathematical operations, which works for undefined cases.
I presented evidence of three equation examples
which turn out to satisfy .
They already had meaning. However, division by zero does not.
0/0=0....The result is zero apples have been divided.
Quote from: boredchemistThey already had meaning. However, division by zero does not.I beg to differ with some of my esteemed colleagues; I think that the case of 0/0 is very important in many areas of maths and physics.- But you can't say what the answer is without more information.- The process of mathematics (mostly) gives you that information.Differentiation may be used to calculate the velocity of an object falling under gravity.- Technically, differentiation is a limit of Δy/Δx as Δx & Δy approach 0- Differentiating (when it works) is effectively the result when Δy=Δx=0 - If you have an equation for this motion (eg s=½gt2), then the equation provides the necessary additional information (provided the equation meets certain criteria such as smoothness and lack of infinities at this location).- Differentiating, you have v=gt, which is effectively the result when Δs=Δt=0 - Differentiation is a basic function in maths & physics, and it (mostly) works well, provided you are a bit carefulLet's take another example, which is applicable to your cellphone:- If you generate a signal with a spectrum of sin(f)/f, it has some nice properties about not interfering with other signals at f=±1, ±2, ±3, etc- But what is the amplitude at f=0? sin(f)/f= 0/0, so you need some more information.- In this case, the additional information can be provided by L'Hopital's rule:- If you differentiate the top and bottom, the answer remains the same- At f=0, sin(f)/f = 0/0 = cos(f)/1 = 1/1=1Quote from: OP0/0=0....The result is zero apples have been divided.The OP gave the wrong answer in this case, because he did not provide (or have access to) the necessary additional information.If we take another case: sin(2f)/f at f=0, it also looks like 0/0.However, when you differentiate at f=0, you get sin(2f)/f=0/0=2cos(2f)/1=2/1 = 2The answer is different because the additional information in the equation showed it was different.See: https://en.wikipedia.org/wiki/L%27H%C3%B4pital%27s_rule