MA GIATI EPIMENETE! To 2.5 einai metaxy toy 1 kai 2! (Re: KATW TO VI!)

[Giannis Galanomatis]

Vasilis Vasaitis wrote:

> Alitheia, ta peri eidikis theorias tis sxetikotitas ekei pou
> kollousan? (nai ta ksero).
>

Estw oti exoume dyo swmata sto shmeio O kai kapoia stigmh gia
kapoion logo apomakrynontai me kapoia taxythta metrou u pros diaforetikes
diefthynseis. (Den htan pote eniaio swma gia na
mou peis pws paraviazw thn arxh diathrhshs ths ormhs).


             y |
               |    * u2 (dyanysma)
               |   /
               |w /
               |_/
               |/
       --------O-------- x
               |
               |
               |
               |
               * u1 (dianysma)


Zhtaw thn sxetikh taxythta tou swmatos me u1 se sxesh me to u2.
Usx = u1 - u2 <=> Usx = u1 + (-u2) (dianysmata).

             y |
               |    * u2
               |   /
               |  /
               | /
               |/
       --------O-------- x
              /|
             /w|
            / /|
       -u2 / / |
          *  / * u1 (dianysma)
          | / /
          | //
          |//
          |/
          *Usx

Eixa pei oti |u1| = |u2| = u  ( oi kathetoi shmanoun metro )
|Usx| = sqrt( |u1|^2 + |-u2|^2 + 2*|u1|*|-u2|*cos(u1^u2) )  <=>
|Usx| = sqrt( u^2 + u^2 + 2*u^2*cos(w) ) <=>
|Usx| = sqrt( 2*u^2 (1 + cos(w) ) <=>
|Usx| = u*sqrt(2+2*cos(w))  <=>

Afoy 0 <= w <= pi/2     =>
0 <= cos(w) <= 1        =>
0 <= 2*cos(w) <= 2      =>
2 <= 2+2*cos(w) <= 4    =>
sqrt(2) <= sqrt(2+2*cos(w)) <= sqrt(4)    =>
Ara:
1,41 <= sqrt(2+2*cos(w) <= 2.
Ara |Usx| > u, enw gia kapoia timh tou w, tha exoume |Usx| = 1.5*u

An omws afta ta swmata einai fotwnia, tote
u = c,  me c = 299,792,458 m/s
Opote vgainei |Usx| = 1.5*c (1)
Omws o Einstein eipe oti h taxythta tou fotws (sto keno) einai
ish me c kai einai _anexarthth_ apo to systhma anaforas.
Ara |Usx| = c (2), afou to |Usx| afora fotwnia.
Apo (1), (2) exw
1.5*c = c =>c!=0
1.5 = 1, opote efkola me ton idio tropo vgazw 2.5 = 1.5 ...


Ypomnhma:
=>     synepagwgh
<=>   isodynamia
<=     mikrotero h iso (oxi anapodh synepagwgh !!)
!=      diaforo
pi       ð ( 3,1415 klp)
^2      tetragwno
sqrt()  tetragwnikh riza
cos(w) synhmitono ths gwnias w

>
>   Loipon, pros empedosi apo olous, epanalamvano oti o jed einai enas
> pragmatika iperoxos editor. Mporei na min exei *ola* ta xaraktiristika ton
> vi/emacs, alla:
>
>   - Mporeis na milas kai na perpatas sigxronos (genika einai emacs-like
>     editor).

Pardon?!?!?!?!?!?!?!?!?
Den to katalava afto!!!

>   - Exei syntax highlighting (xromatakia) gia arketous tipous arxeion, gia
>     C/C++ eidika einai poli kalo.

Afto ly8ike, to rhide mou peftei ganti!

Gia xara, kai sorry pou apasxolw thn lysta me "mathymatika" kai "fysikh", alla

den peirazei, as eimaste polyplevres proswpikothtes!!
No flames please


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