home bbs files messages ]

Forums before death by AOL, social media and spammers... "We can't have nice things"

   sci.physics.research      Current physics research. (Moderated)      17,516 messages   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]

   Message 17,256 of 17,516   
   Stefan Ram to Stefan Ram   
   Re: Symmetries   
   27 Jun 23 12:20:09   
   
   From: ram@zedat.fu-berlin.de   
      
   ram@zedat.fu-berlin.de (Stefan Ram) writes:   
   >Let a hypothetical one-dimensional world consist of a ray with   
   >values x>=0. This world is completely empty except for a mass   
   >point with unit mass 1 at x=1. This is described by a "mass   
   >density" R(x), which is zero everywhere except for R(1)=1.   
   ...   
   >[[Mod. note -- In order to have unit mass, doesn't your mass density   
   >need to be a Dirac delta-function?  -- jt]]   
      
     Yes.   
      
     To avoid delta functions, I could as well define a mass   
     density R(x) := 1/E if 1 <= x < 1+E, and R(x) := 0, otherwise;   
     for an E > 0, say, E := 0.5.   
      
     The mass density of the two-dimensional extension then   
     correspondingly becomes R(x,y) := 1/E if 1 <= x < 1+E   
     and R(x,y) := 0, otherwise.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]


(c) 1994,  bbs@darkrealms.ca