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Neutral simultaneity for two frames.


DimaMazin

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In US we were taught zero is a rational number, which means it must have a nonzero denominator, i.e. it is 0/1.  A rational number cannot have a zero denominator.  I have have no idea what 0/0 is, but it cannot be a ratio.  

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3 hours ago, DimaMazin said:

Teachets teached us 0/0=1

What is in Israel?

 

Consider the following

 

Let

[math]y=\frac{{{2^x}-1}}{x} [/math]

 

What is y when x = 0 ?

Clue it is not 1 it is about 0.693

Edited by studiot
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1 hour ago, Genady said:

Do you think that undefined opinios of mathematicians are more useful in physics than laws of physics?

7 hours ago, studiot said:

 

Consider the following

 

Let

y=2x1x

 

What is y when x = 0 ?

Clue it is not 1 it is about 0.693

For y=x/x

When we approach x to 0 there is no changing of the result.

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5 hours ago, DimaMazin said:

For y=x/x

When we approach x to 0 there is no changing of the result.

What a pity you didn't simply ask how I came to my answer.

If we try to substitute x = 0 into the given expression we find

 

[math]\frac{{{2^x} - 1}}{x} \to \frac{{1 - 1}}{0} \to \frac{0}{0}[/math]

 

Which we know we cannot do.

 

But the situation is remedable as we can apply l'Hopital's rule thus

 

[math]\frac{{\frac{d}{{dx}}\left( {{2^x} - 1} \right)}}{{\frac{d}{{dx}}\left( x \right)}} = \frac{{2^x}\ln 2}{1} = \ln 2 = 0.693[/math]

 

 

Edited by studiot
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8 hours ago, DimaMazin said:

Do you think that undefined opinios of mathematicians are more useful in physics than laws of physics?

I don't need to think so because there is no conflict between mathematics and physics. 

YOUR so-called "laws of physics" are nonsense.

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3 hours ago, Genady said:

I don't need to think so because there is no conflict between mathematics and physics. 

YOUR so-called "laws of physics" are nonsense.

Let's use conservation of momentums for correct addition of velocities

V3×gamma3=v1×gamma1+v2×gamma2

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