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Collision?

no not collision but not different you can suppose that they strike together .

But important problem is that why the relativity speed not 2C and it is just C !!

Did you get it?
compare lights with other movement.

That's where I'm puzzle ?!?

moving

Einstein was a first to solve this problem with his theory is called Theory of Relativity

He's well known by it !

And he shows that light move in the own coordinate.

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Talk about rotation, I'm not a fan of rotation of axis :(

the rotation formula in above does not work for light!!!

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Oh, I see!

I showed that two rotation of unique vectors (1,0) and (0,1)

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but light does not obey from this reality !!

do you know anything about hyperbolic function?
Coshx SinhX

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Honestly, the formula you showing here is what I've read from the book, that's all !!!

finally light rotation formula has hyperbolic functions instead trigonometric

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it makes some new concepts for light you can never believe those but they are all correct

Because hyperbolic involving with omega element!

no because hyperbolic functions have no limited range like sinx ,cosx

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That's new concept to my understanding =)

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Yep, taking notes now!

Do you mind solving a problem about find the parabola rotation?

*finding

x² - 3xy + 4y² +2x - y + 5 = 0

How do I eliminate the term xy to recognize its type of graph?

I have an own way for this problem.
it is so easy and cover whole of them.

I'm trying to work on the axis rotation formula, but just half way :(

we can't rely on the coefficient of x² and y²?

:)

ok and if v1=v2=c then vr=(c+c)/2=c
so I just want to show that why.

Ok.for prepare i am going to answer your last question.

I'm on it!

y' = x sinh (theta) + y cosh (theta)