Re: Is there a possibility to have more than one ZERO vector in a space!?

["m7ossny"]

Another zero named ZERO3 whare d(ZERO3)=d(ZERO1)=d(ZERO2)=0

On Oct 31, 2:35 pm, panop...@xxxxxxxxxx (Daniel W. Johnson) wrote:
> m7ossny <m7os...@xxxxxxxxx> wrote:
> > Hi,
>
> > I am not an Algebra Guru and have some question. Consider a metric
> > space of vectors 'V' with a distance function 'd'. The vector space 'V'
> > has a primary operator '+'. The problem is that I have to define zero
> > vector where
>
> > 1. d(ZERO)=0.
> > 2. v + ZERO =ZERO + v = v (for all 'v' in 'V')
>
> > Some times the '+' operator and 'd' function are complex enough that
> > there might be more than one zero vector (a subset of vectors that all
> > has absolute distance equal to zero). Some other cases there is a zero
> > vector for each vector.
>
> > Does this sound right!? Or am I missing something!?What do you get for 
> > ZERO1 + ZERO2 ?
> --
> Daniel W. Johnson
> panop...@xxxxxxxxxxxxxx://members.iquest.net/~panoptes/
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