Re: Bile awski the Janitor.
- From: "Paul B. Andersen" <paul.b.andersen@xxxxxx>
- Date: 6 Oct 2005 14:02:24 -0700
Androcles wrote:
> "JanPB" <filmart@xxxxxxxxx> wrote in message
> news:1128563892.985363.7130@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> | Do you see the
> | difference between:
> |
> | 2* (80,0,0,16) = (60,0,0,20)
> |
> | and:
> |
> | 2 * tau(80,0,0,16) = tau(0,0,0,0) + tau(60,0,0,20)
> |
> | (Hint: the difference is huge, like night and day.)
>
> Hmm.... let's see if I can work it out myself... don't tell me, ok?
>
>
> 2*(80,0,0,16) = (160,0,0,32) which is not equal to (60,0,0,2)
> so that is FALSE.
>
>
> tau(60,0,0,20) is... err... according to the wacky transforms ...
>
> tau(x,0,0,t) = (t - vx/c^2) /sqrt(1 - v^2/c^2)
>
> = (20 - 3*60/25)/sqrt(1- 9/25)
> = (20-180/25)/sqrt(16/25)
> = 12.8/0.8
> = 16.
>
> tau(0,0,0,0) = (0 - 3*0/25)/0.8
> = 0
>
> So tau(0,0,0,0)+tau(60,0,0,20) = 16.
>
> 2* tau(80,0,0,16) = 2* (16 - 3*80/25)/ 0.8
> = 2* (16 - 9.6)/0.8
> = 32
So 2*8 = 32 ?
Advanced math like this is difficult, isn't it? :-)
Paul
.
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