Relitivity Question

>>8505498
Classical mechanics isn't accurate at speeds near c. Add your velocities with relativistic equations and you'll see that c > Vdude > Vrocket.

>>8505498
c + 0.5

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>>8505498
>See the answer to this example question

>>8505498
(1+3*10^8-0,5)/(1+1*(3*10^8-0,5)/{3*10^8}^2)
=(3*10^8+0,5)/(2-0,5/9/10^{16})
=3*10^8-0,5

>>8505511
Physicists abuse notation like priests abuse children. I wonder if any of them even wondered if what they were doing was valid. I just hope one day rocket full of engineers blows up because another engineer treated Leibniz's notation as a fraction.

>>8505531
Funny, in an astrophysics lecture the other day the lecturer wrote on the whiteboard,
[math] \left(\frac{dM}{dr}\right)^{-1}=\frac{dr}{dM} [/math]
and said
>Any rigorous mathematicians in the room are wanting to shoot me because of the 99.9999999% of times where that isn't allowed, luckily there's that 0.0001% so I don't care for now.
Everyone chuckled

>>8505539
I'm not sure there is much of a problem here. I never really went much into differentiation wrt other functions but from what I've gathered you could just do
1=dM/dM=dM/dr*dr/dM
so
1/(dM/dr)=dr/dM

>>8505507
>Classical mechanics isn't accurate at speeds near c
That's why I'm asking. If it were simple in Classical mechanics I wouldn't need to ask.
>>8505511
Thanks

>>8505551
>You could just do

The whole point is that you [math]cannot[/math] do that, because it is not a fraction

>>8505571
Classic mechanics can't explain it at all. It's like asking why your car hasnt quantum tunneled over your head

>>8505576
I didn't assume it was a fraction in anything I did, I could rephrase I suppose
[eqn]1=\frac{df}{df}(x)=\frac{df}{dx}(x)\frac{dx}{df}(x)[/eqn]

>>8505586
You fucking mongo, that's the exact reason I'm asking the question. Are you autistic?

I basically got the explanation I needed from
>>8505511

>>8505591
>Why hasn't my car quantum tunneled over my head tb.h

>>8505531
>What are differentials
>What is u substitution

>>8505511
Forgive me for asking, but what is x' in dx' ?

>>8505576
We've basically treated Leibniz notation as a fraction when I was in undergrad.
[math]\frac{dy}{dx} = \frac{dy}{du}*\frac{du}{dx}[/math]

>>8506333
x-coordinate in the S' frame

>>8505576
>baby retard still not understanding total differentials.