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

Kwsths math1890 at edu.uch.gr
Tue Dec 22 12:42:54 EET 1998


Ginesai kourastikos mexri ahdias...
To mail sou den exei kamia sxesh me th lista.

On Mon, 21 Dec 1998, Giannis Galanomatis wrote:

> 
> 
> 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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> Ta archives tis listas einai sto http://www.argos.hol.gr/lists :
> prin steilete kapoia erothsh psakte mipos exei hdh apanththei.
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> 

--
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Gia boithia (h na diagrafhte) e-mail sto majordomo at argos.hol.gr
Ta archives tis listas einai sto http://www.argos.hol.gr/lists :
prin steilete kapoia erothsh psakte mipos exei hdh apanththei.
Gia opoiodipote problima stilte e-mail ston owner-linux-greek-users
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